Relevant bibliographies by topics / Constrained quantum mechanics

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Constrained quantum mechanics'

Author: Grafiati
Published: 4 June 2021
Last updated: 1 February 2022

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Journal articles on the topic "Constrained quantum mechanics"

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MARANER, P., and C. DESTRI. "GEOMETRY-INDUCED YANG-MILLS FIELDS IN CONSTRAINED QUANTUM MECHANICS." Modern Physics Letters A 08, no. 09 (March 21, 1993): 861–68. http://dx.doi.org/10.1142/s0217732393000891.

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We derive the effective Hamiltonian for a quantomechanical system constrained to move on a submanifold M of its configuration space Rn by a confining potential V. Besides potential terms proportional to the intrinsic and mean curvature of M the restriction to the constraint produce the minimal interaction with a geometry-induced Yang-Mills field.
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SHABANOV, SERGEI V. "q-OSCILLATORS, NON-KÄHLER MANIFOLDS AND CONSTRAINED DYNAMICS." Modern Physics Letters A 10, no. 12 (April 20, 1995): 941–48. http://dx.doi.org/10.1142/s0217732395001034.

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It is shown that q-deformed quantum mechanics (systems with q-deformed Heisenberg commutation relations) can be interpreted as an ordinary quantum mechanics on Kähler manifolds, or as a quantum theory with second- (or first-) class constraints.
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Elze, Hans-Thomas. "On quantum mechanics as constrained supersymmetric classical dynamics." Physics Letters A 335, no. 4 (February 2005): 258–65. http://dx.doi.org/10.1016/j.physleta.2004.12.045.

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Salazar, R., and G. Téllez. "Constrained quantum mechanics: chaos in non-planar billiards." European Journal of Physics 33, no. 4 (May 23, 2012): 965–85. http://dx.doi.org/10.1088/0143-0807/33/4/965.

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Deriglazov, A. A. "Quantum mechanics on noncommutative plane and sphere from constrained systems." Physics Letters B 530, no. 1-4 (March 2002): 235–43. http://dx.doi.org/10.1016/s0370-2693(02)01262-5.

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Bogusz, A., and A. Gozdz. "The algebraic generator coordinate method as the constrained quantum mechanics." Journal of Physics A: Mathematical and General 25, no. 17 (September 7, 1992): 4613–24. http://dx.doi.org/10.1088/0305-4470/25/17/020.

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Tan, De Kun. "Application of Quantum-Behaved Particle Swarm Optimization in Engineering Constrained Optimization Problems." Advanced Materials Research 383-390 (November 2011): 7208–13. http://dx.doi.org/10.4028/www.scientific.net/amr.383-390.7208.

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To overcome the shortage of standard Particle Swarm Optimization(SPSO) on premature convergence, Quantum-behaved Particle Swarm Optimization (QPSO) is presented to solve engineering constrained optimization problem. QPSO algorithm is a novel PSO algorithm model in terms of quantum mechanics. The model is based on Delta potential, and we think the particle has the behavior of quanta. Because the particle doesn’t have a certain trajectory, it has more randomicity than the particle which has fixed path in PSO, thus the QPSO more easily escapes from local optima, and has more capability to seek the global optimal solution. In the period of iterative optimization, outside point method is used to deal with those particles that violate the constraints. Furthermore, compared with other intelligent algorithms, the QPSO is verified by two instances of engineering constrained optimization, experimental results indicate that the algorithm performs better in terms of accuracy and robustness.
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Bernard, B. J., and L. C. Lew Yan Voon. "Notes on the quantum mechanics of particles constrained to curved surfaces." European Journal of Physics 34, no. 5 (July 26, 2013): 1235–41. http://dx.doi.org/10.1088/0143-0807/34/5/1235.

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Hong, Soon-Tae, Joohan Lee, Tae Hoon Lee, and Phillial Oh. "A complete solution of a constrained system: SUSY monopole quantum mechanics." Journal of High Energy Physics 2006, no. 02 (February 15, 2006): 036. http://dx.doi.org/10.1088/1126-6708/2006/02/036.

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Doldán, Ricardo, Rodolfo Gambini, and Pablo Mora. "Quantum mechanics for totally constrained dynamical systems and evolving hilbert spaces." International Journal of Theoretical Physics 35, no. 10 (October 1996): 2057–74. http://dx.doi.org/10.1007/bf02302226.

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Dissertations / Theses on the topic "Constrained quantum mechanics"

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Olpak, Mehmet Ali. "Quantum Mechanics On Curved Hypersurfaces." Master's thesis, METU, 2010. http://etd.lib.metu.edu.tr/upload/12612316/index.pdf.

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In this work, Schrö
dinger and Dirac equations will be examined in geometries that confine the particles to hypersurfaces. For this purpose, two methods will be considered. The first method is the thin layer method which relies on explicit use of geometrical relations and the squeezing of a certain coordinate of space (or spacetime). The second is Dirac&rsquo
s quantization procedure involving the modification of canonical quantization making use of the geometrical constraints. For the Dirac equation, only the first method will be considered. Lastly, the results of the two methods will be compared and some notes on the differences between the results will be included.
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Bernard, Benjamin. "On the Quantization Problem in Curved Space." Wright State University / OhioLINK, 2012. http://rave.ohiolink.edu/etdc/view?acc_num=wright1344829165.

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Pollack, Jason Aaron. "Constraints on Cosmology and Quantum Gravity from Quantum Mechanics and Quantum Field Theory." Thesis, 2017. https://thesis.library.caltech.edu/10209/1/thesis_JasonPollack.pdf.

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Typical cosmological states have structure, obey to very good approximation the laws of classical physics on large scales, and are far from equilibrium. Typical quantum-mechanical states have none of these properties. If the universe is described by a state in a Hilbert space, the state and its Hilbert space must therefore obey a number of constraints to describe realistic cosmological spacetimes. In particular, they must admit a quantum-to-classical transition via decoherence that allows for the emergence of classical spacetimes, and such spacetimes must obey gravitational constraints, in particular on the entanglement entropy of subsystems within them. The papers collected in this thesis are concerned with these constraints. We investigate two holographic correspondences inspired by AdS/CFT, the AdS-MERA correspondence, which suggests that anti-de~Sitter space may be given a discretized description as a tensor network, and the ER=EPR duality, which identified entangled qubits with wormholes connecting them. In the former case, we use holographic entropy bounds to severely constrain the properties of any such tensor network; in the latter case we prove a new general-relativistic area theorem which states that an area corresponding to the entanglement entropy in wormhole geometries is exactly conserved. We use information-theoretic constraints to show that under mild assumptions about the black hole interior an observer falling beyond the horizon is unable to verify the claimed cloning of information in the firewall paradox before reaching the singularity. Finally, we analyze the decoherence structures of late-time de~Sitter space and early-time slow-roll eternal inflation. We show that in the former case a universe with an infinite-dimensional Hilbert space and a positive cosmological constant inevitably reaches a maximum-entropy state from which no further branching or decoherence is possible, forbidding the existence of dynamical quantum fluctuations at late time. In the latter case, gravitational-strength interaction among inflaton modes leads to decoherence of sufficiently super-Hubble modes, which we argue backreacts to cause different histories of cosmological evolution on different branches and hence creates the conditions necessary for eternal inflation.

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Books on the topic "Constrained quantum mechanics"

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Wachsmuth, Jakob. Effective Hamiltonians for constrained quantum systems. Providence, Rhode Island: American Mathematical Society, 2013.

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Mann, Peter. Constrained Hamiltonian Dynamics. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.003.0021.

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This chapter focuses on autonomous geometrical mechanics, using the language of symplectic geometry. It discusses manifolds (including Kähler manifolds, Riemannian manifolds and Poisson manifolds), tangent bundles, cotangent bundles, vector fields, the Poincaré–Cartan 1-form and Darboux’s theorem. It covers symplectic transforms, the Marsden–Weinstein symplectic quotient, presymplectic and symplectic 2-forms, almost symplectic structures, symplectic leaves and foliation. It also discusses contact structures, musical isomorphisms and Arnold’s theorem, as well as integral invariants, Nambu structures, the Nambu bracket and the Lagrange bracket. It describes Poisson bi-vector fields, Poisson structures, the Lie–Poisson bracket and the Lie–Poisson reduction, as well as Lie algebra, the Lie bracket and Lie algebra homomorphisms. Other topics include Casimir functions, momentum maps, the Euler–Poincaré equation, fibre derivatives and the geodesic equation. The chapter concludes by looking at deformation quantisation of the Poisson algebra, using the Moyal bracket and C*-algebras to develop a quantum physics.
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Silberstein, Michael, W. M. Stuckey, and Timothy McDevitt. Relational Blockworld and Quantum Mechanics. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198807087.003.0005.

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The main thread of chapter 4 introduces some of the major mysteries and interpretational issues of quantum mechanics (QM). These mysteries and issues include: quantum superposition, quantum nonlocality, Bell’s inequality, entanglement, delayed choice, the measurement problem, and the lack of counterfactual definiteness. All these mysteries and interpretational issues of QM result from dynamical explanation in the mechanical universe and are dispatched using the authors’ adynamical explanation in the block universe, called Relational Blockworld (RBW). A possible link between RBW and quantum information theory is provided. The metaphysical underpinnings of RBW, such as contextual emergence, spatiotemporal ontological contextuality, and adynamical global constraints, are provided in Philosophy of Physics for Chapter 4. That is also where RBW is situated with respect to retrocausal accounts and it is shown that RBW is a realist, psi-epistemic account of QM. All the relevant formalism for this chapter is provided in Foundational Physics for Chapter 4.
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Allen, Michael P., and Dominic J. Tildesley. Statistical mechanics. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198803195.003.0002.

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This chapter contains the essential statistical mechanics required to understand the inner workings of, and interpretation of results from, computer simulations. The microcanonical, canonical, isothermal–isobaric, semigrand and grand canonical ensembles are defined. Thermodynamic, structural, and dynamical properties of simple and complex liquids are related to appropriate functions of molecular positions and velocities. A number of important thermodynamic properties are defined in terms of fluctuations in these ensembles. The effect of the inclusion of hard constraints in the underlying potential model on the calculated properties is considered, and the addition of long-range and quantum corrections to classical simulations is presented. The extension of statistical mechanics to describe inhomogeneous systems such as the planar gas–liquid interface, fluid membranes, and liquid crystals, and its application in the simulation of these systems, are discussed.
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Ben-Menahem, Yemima. Causation in Science. Princeton University Press, 2018. http://dx.doi.org/10.23943/princeton/9780691174938.001.0001.

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This book explores the role of causal constraints in science, shifting our attention from causal relations between individual events—the focus of most philosophical treatments of causation—to a broad family of concepts and principles generating constraints on possible change. The book looks at determinism, locality, stability, symmetry principles, conservation laws, and the principle of least action—causal constraints that serve to distinguish events and processes that our best scientific theories mandate or allow from those they rule out. The book's approach reveals that causation is just as relevant to explaining why certain events fail to occur as it is to explaining events that do occur. It investigates the conceptual differences between, and interrelations of, members of the causal family, thereby clarifying problems at the heart of the philosophy of science. The book argues that the distinction between determinism and stability is pertinent to the philosophy of history and the foundations of statistical mechanics, and that the interplay of determinism and locality is crucial for understanding quantum mechanics. Providing a historical perspective, the book traces the causal constraints of contemporary science to traditional intuitions about causation, and demonstrates how the teleological appearance of some constraints is explained away in current scientific theories such as quantum mechanics. The book represents a bold challenge to both causal eliminativism and causal reductionism—the notions that causation has no place in science and that higher-level causal claims are reducible to the causal claims of fundamental physics.
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Silberstein, Michael, W. M. Stuckey, and Timothy McDevitt. Beyond the Dynamical Universe. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198807087.001.0001.

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Theoretical physics and foundations of physics have not made much progress in the last few decades. There is no consensus among researchers on how to approach unifying general relativity and quantum field theory (quantum gravity), explaining so-called dark energy and dark matter (cosmology), or the interpretation and implications of quantum mechanics and relativity. In addition, both fields are deeply puzzled about various facets of time including, above all, time as experienced. This book argues that this impasse is the result of the “dynamical universe paradigm,” the idea that reality fundamentally comprises physical entities that evolve in time from some initial state according to dynamical laws. Thus, in the dynamical universe, the initial conditions plus the dynamical laws explain everything else going exclusively forward in time. In cosmology, for example, the initial conditions reside in the Big Bang and the dynamical law is supplied by general relativity. Accordingly, the present state of the universe is explained exclusively by its past. A completely new paradigm (called Relational Blockworld) is offered here whereby the past, present, and future co-determine each other via “adynamical global constraints,” such as the least action principle. Accordingly, the future is just as important for explaining the present as the past is. Most of the book is devoted to showing how Relational Blockworld resolves many of the current conundrums of both theoretical physics and foundations of physics, including the mystery of time as experienced and how that experience relates to the block universe.
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Book chapters on the topic "Constrained quantum mechanics"

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Kaushal, R. S. "Constrained Dynamical Systems and Invariants." In Classical and Quantum Mechanics of Noncentral Potentials, 158–66. Berlin, Heidelberg: Springer Berlin Heidelberg, 1998. http://dx.doi.org/10.1007/978-3-662-11325-7_8.

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Iomin, Alexander. "Fractional quantum mechanics with topological constraint." In Applications in Physics, Part B, edited by Vasily E. Tarasov, 279–98. Berlin, Boston: De Gruyter, 2019. http://dx.doi.org/10.1515/9783110571721-012.

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Myrvold, Wayne C. "Relativistic Constraints on Interpretations of Quantum Mechanics." In The Routledge Companion to Philosophy of Physics, 99–121. New York: Routledge, 2021. http://dx.doi.org/10.4324/9781315623818-12.

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Fischler, W., G. F. Giudice, R. G. Leigh, and S. Paban. "Constraints on the Baryogenesis Scale from Neutrino Masses." In Quantum Mechanics of Fundamental Systems 3, 67–72. Boston, MA: Springer US, 1992. http://dx.doi.org/10.1007/978-1-4615-3374-0_5.

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Keil, Mark, Shimon Machluf, Yair Margalit, Zhifan Zhou, Omer Amit, Or Dobkowski, Yonathan Japha, et al. "Stern-Gerlach Interferometry with the Atom Chip." In Molecular Beams in Physics and Chemistry, 263–301. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-63963-1_14.

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AbstractIn this invited review in honor of 100 years since the Stern-Gerlach (SG) experiments, we describe a decade of SG interferometry on the atom chip. The SG effect has been a paradigm of quantum mechanics throughout the last century, but there has been surprisingly little evidence that the original scheme, with freely propagating atoms exposed to gradients from macroscopic magnets, is a fully coherent quantum process. Specifically, no full-loop SG interferometer (SGI) has been realized with the scheme as envisioned decades ago. Furthermore, several theoretical studies have explained why it is a formidable challenge. Here we provide a review of our SG experiments over the last decade. We describe several novel configurations such as that giving rise to the first SG spatial interference fringes, and the first full-loop SGI realization. These devices are based on highly accurate magnetic fields, originating from an atom chip, that ensure coherent operation within strict constraints described by previous theoretical analyses. Achieving this high level of control over magnetic gradients is expected to facilitate technological applications such as probing of surfaces and currents, as well as metrology. Fundamental applications include the probing of the foundations of quantum theory, gravity, and the interface of quantum mechanics and gravity. We end with an outlook describing possible future experiments.
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Rabinovici, Eliezer. "Beyond the Standard Model." In Particle Physics Reference Library, 455–517. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-38207-0_8.

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AbstractStarting sometime in 2008/2009 one expects to be able to take a glimpse at physics at the TeV scale. This will be done through the Large Hadronic Collider (LHC) at CERN, Geneva. It will be a result of an unprecedented coordinated international scientific effort. This chapter is written in 2007. It is essentially inviting disaster to spell out in full detail what the current various theoretical speculations on the physics are, as well motivated as they may seem at this time. What I find of more value is to elaborate on some of the ideas and the motivations behind them. Some may stay with us, some may evolve and some may be discarded as the results of the experiments unfold. When the proton antiproton collider was turned on in the early eighties of the last century at Cern the theoretical ideas were ready to face the experimental results in confidence, a confidence which actually had prevailed. The emphasis was on the tremendous experimental challenges that needed to be overcome in both the production and the detection of the new particles. As far as theory was concerned this was about the physics of the standard model and not about the physics beyond it. The latter part was left safely unchallenged. That situation started changing when the large electron positron (LEP) collider experiments also at Cern were turned on as well the experiments at the Tevatron at Fermilab. Today it is with rather little, scientifically based, theoretical confidence that one is anticipating the outcome of the experiments. It is less the method and foundations that are tested and more the prejudices. It is these which are at the center of this chapter. Some claim to detect over the years an oscilatory behavior in the amount of conservatism expressed by leaders in physics. The generation in whose life time relativity and quantum mechanics were discovered remained non-conservative throughout their life. Some of the latter developed eventually such adventurous ideas as to form as a reaction a much more conservative following generation. The conservative generation perfected the inherited tools and has uncovered and constructed the Standard Model. They themselves were followed by a less conservative generation. The new generation was presented with a seemingly complete description of the known forces. In order to go outside the severe constraints of the Standard Model the new generation has drawn upon some of the more adventurous ideas of the older generation as well as created it own ideas. In a way almost all accepted notions were challenged. In the past such an attitude has led to major discoveries such as relativity and quantum mechanics. In some cases it was carried too far, the discovery of the neutrino was initially missed as energy conservation was temporarily given up.
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"QUANTUM MECHANICS OF CONSTRAINED SYSTEMS:." In Quantization of Gauge Systems, 272–95. Princeton University Press, 2020. http://dx.doi.org/10.2307/j.ctv10crg0r.18.

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"Constrained systems." In An Introduction to the Functional Formulation of Quantum Mechanics, 117–35. WORLD SCIENTIFIC, 2013. http://dx.doi.org/10.1142/9789814520515_0004.

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Aldinger, R. R., A. Bohm, P. Kielanowski, M. Loewe, P. Magnollay, N. Mukunda, W. Drechsler, and S. R. Komy. "Relativistic rotator: I. Quantum observables and constrained Hamiltonian mechanics." In Dynamical Groups and Spectrum Generating Algebras, 773–84. World Scientific Publishing Company, 1988. http://dx.doi.org/10.1142/9789814542319_0044.

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"CHAPTER THIRTEEN. QUANTUM MECHANICS OF CONSTRAINED SYSTEMS: STANDARD OPERATOR METHODS." In Quantization of Gauge Systems, 272–95. Princeton University Press, 1992. http://dx.doi.org/10.1515/9780691213866-016.

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Conference papers on the topic "Constrained quantum mechanics"

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NI, WEI-TOU, A. B. BALAKIN, and HSIEN-HAO MEI. "PSEUDOSCALAR-PHOTON INTERACTIONS, AXIONS, NON-MINIMAL EXTENSIONS, AND THEIR EMPIRICAL CONSTRAINTS FROM OBSERVATIONS." In Quantum Mechanics, Elementary Particles, Quantum Cosmology and Complexity. WORLD SCIENTIFIC, 2010. http://dx.doi.org/10.1142/9789814335614_0054.

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DESPLANQUES, Bertrand. "Form factors in relativistic quantum mechanics: constraints from space-time translations." In LIGHT CONE 2008 Relativistic Nuclear and Particle Physics. Trieste, Italy: Sissa Medialab, 2009. http://dx.doi.org/10.22323/1.061.0018.

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DESPLANQUES, Bertrand, and Yu-bing Dong. "PS-meson form factors in relativistic quantum mechanics and constraints from covariant space-time translations." In Light Cone 2010: Relativistic Hadronic and Particle Physics. Trieste, Italy: Sissa Medialab, 2010. http://dx.doi.org/10.22323/1.119.0016.

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Mori, Kanji. "Quantum mechanical constraints on resonances in carbon fusion reaction and its impact on type Ia supernovae." In EXOTIC NUCLEI AND NUCLEAR/PARTICLE ASTROPHYSICS (VII). PHYSICS WITH SMALL ACCELERATORS: Proceedings of the Carpathian Summer School of Physics 2018 (CSSP18). Author(s), 2019. http://dx.doi.org/10.1063/1.5091647.

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Khoshnoud, Farbod, Houman Owhadi, and Clarence W. de Silva. "Stochastic Simulation of a Casimir Oscillator." In ASME 2010 International Mechanical Engineering Congress and Exposition. ASMEDC, 2010. http://dx.doi.org/10.1115/imece2010-39746.

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Stochastic simulation of a Casimir Oscillator is presented in this paper. This oscillator is composed of a flat boundary of semiconducting oscillator parallel to a fixed plate separated by vacuum. In this system the oscillating surface is attracted to the fixed plate by the Casimir effect, due to quantum fluctuations in the zero point electromagnetic field. Motion of the oscillating boundary is opposed by a spring. The stored potential energy in the spring is converted into kinetic energy when the spring force exceeds the Casimir force, which generates an oscillatory motion of the moving plate. Casimir Oscillators are used as micro-mechanical switches, sensors and actuators. In the present paper, a stochastic simulation of a Casimir oscillator is presented for the first time. In this simulation, Stochastic Variational Integrators using a Langevin equation, which describes Brownian motion, is considered. Formulations for Symplectic Euler, Constrained Symplectic Euler, Stormer-Verlet and RATTLE integrators are obtained and the Symplectic Euler case is solved numerically. When the moving parts in a micro/nano system travel in the vicinity of 10 nanometers to 1 micrometer range relative to other parts of the system, the Casimir phenomenon is in effect and should be considered in analysis and design of such system. The simulation in this paper considers modeling such uncertainties as friction, effect of surface roughness on the Casimir force, and change in environmental conditions such as ambient temperature. In this manner the paper explores a realistic model of the Casimir Oscillator. Furthermore, the presented study of this system provides a deeper understanding of the nature of the Casimir force.
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Thompson, Corey, Matt Gordon, Ajay P. Malshe, and Deep Gupta. "Development of Thermal Interface Materials for Harsh Environment Packaging of Superconducting Integrated Circuits." In ASME 2010 International Mechanical Engineering Congress and Exposition. ASMEDC, 2010. http://dx.doi.org/10.1115/imece2010-40527.

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Superconducting integrated circuits (SCICs) require cooling to about 4 K for proper circuit operation. Current efforts are being made to transfer SCIC technology from lab experiments to viable consumer and military products. In order for this to be feasible, SCICs must function in cryogen-free closed-cycle refrigerator (or cryocooler) based systems. Design constraints for SCICs utilizing rapid single-flux-quantum (RSFQ) logic require a maximum temperature gradient across the package of less than 50 mK for proper circuit operation when implemented in cryocooler mounted systems. Also, to achieve increased functional density and decreased signal delays, it is desired to implement multichip module (MCM) SCICs in which RSFQ signals are passed from chip-to-chip through a common MCM substrate. Satisfying these constraints requires innovative packaging and thermal interface materials for harsh environment packaging (low temperature, high vacuum). The objective of this modeling work is to: explain the role of underfill in harsh environment cryogenic packages, explore the role of polymers and nanocomposites in filling this role, and anticipate the role of manufacturing defects on thermal management of 4 K packages. A characteristic model is developed in COMSOL MultiPhysics that allows for investigation of the dependence of temperature gradients across the package on these variables. It is found that at 4 K thermal interface resistances act as major bottlenecks to heat removal from the active die. It is also shown that as bump diameter decreases below 100 microns due to device miniaturization, the need for effective thermal interface materials is exacerbated. A novel nanoengineered cryogenic adhesive (nECA) comprised of nanoparticles dispersed in an epoxy matrix is proposed to act as a heat transfer medium between chip and substrate. Incorporation of nECA into the FEA model of a single chip package reduces the overall temperature gradient from 78 mK to 44 mK. This advance in thermal management of low temperature SCICs is paramount for the advancement of MCM packaging requiring efficient removal of heat from densely packaged chips.
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