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Relevant bibliographies by topics / Hamiltonians

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Academic literature on the topic 'Hamiltonians'

Author: Grafiati

Published: 4 June 2021

Last updated: 7 September 2023

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Journal articles on the topic "Hamiltonians"

1

Hiroshima, Fumio. "Weak Coupling Limit with a Removal of an Ultraviolet Cutoff for a Hamiltonian of Particles Interacting with a Massive Scalar Field." Infinite Dimensional Analysis, Quantum Probability and Related Topics 01, no. 03 (July 1998): 407–23. http://dx.doi.org/10.1142/s0219025798000211.

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A Hamiltonian of an interaction system between N-particles and a massive scalar field is considered. The Hamiltonian with an ultraviolet cutoff is defined as a self-adjoint operator acting in a Hilbert space. Renormalized Hamiltonians are defined by subtracting renormalization terms from the Hamiltonian. It is shown that N-body Schrödinger Hamiltonians can be derived from taking a weak coupling limit and removing the ultraviolet cutoff simultaneously for the renormalized Hamiltonians. In particular, in the case where the space dimension equals three, the Yukawa potential appears in the N-body

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Pannell, William H. "The intersection between dual potential and sl(2) algebraic spectral problems." International Journal of Modern Physics A 35, no. 32 (November 20, 2020): 2050208. http://dx.doi.org/10.1142/s0217751x20502085.

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The relation between certain Hamiltonians, known as dual, or partner Hamiltonians, under the transformation [Formula: see text] has long been used as a method of simplifying spectral problems in quantum mechanics. This paper seeks to examine this further by expressing such Hamiltonians in terms of the generators of sl(2) algebra, which provides another method of solving spectral problems. It appears that doing so greatly restricts the set of allowable potentials, with the only nontrivial potentials allowed being the Coulomb [Formula: see text] potential and the harmonic oscillator [Formula: se

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Hastings, Matthew. "Trivial low energy states for commuting Hamiltonians, and the quantum PCP conjecture." Quantum Information and Computation 13, no. 5&6 (May 2013): 393–429. http://dx.doi.org/10.26421/qic13.5-6-3.

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We consider the entanglement properties of ground states of Hamiltonians which are sums of commuting projectors (we call these commuting projector Hamiltonians), in particular whether or not they have ``trivial" ground states, where a state is trivial if it is constructed by a local quantum circuit of bounded depth and range acting on a product state. It is known that Hamiltonians such as the toric code only have nontrivial ground states in two dimensions. Conversely, commuting projector Hamiltonians which are sums of two-body interactions have trivial ground states\cite{bv}. Using a coarse-gr

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Liu, Yu, Jin Liu, and Da-jun Zhang. "On New Hamiltonian Structures of Two Integrable Couplings." Symmetry 14, no. 11 (October 27, 2022): 2259. http://dx.doi.org/10.3390/sym14112259.

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In this paper, we present new Hamiltonian operators for the integrable couplings of the Ablowitz–Kaup–Newell–Segur hierarchy and the Kaup–Newell hierarchy. The corresponding Hamiltonians allow nontrivial degeneration. Multi-Hamiltonian structures are investigated. The involutive property is proven for the new and known Hamiltonians with respect to the two Poisson brackets defined by the new and known Hamiltonian operators.

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Orlov, Yu N., V. Zh Sakbaev, and O. G. Smolyanov. "Randomizes hamiltonian mechanics." Доклады Академии наук 486, no. 6 (June 28, 2019): 653–58. http://dx.doi.org/10.31857/s0869-56524866653-658.

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Randomized Hamiltonian mechanics is the Hamiltonian mechanics which is determined by a time-dependent random Hamiltonian function. Corresponding Hamiltonian system is called random Hamiltonian system. The Feynman formulas for the random Hamiltonian systems are obtained. This Feynman formulas describe the solutions of Hamilton equation whose Hamiltonian is the mean value of random Hamiltonian function. The analogs of the above results is obtained for a random quantum system (which is a random infinite dimensional Hamiltonian system). This random quantum Hamiltonians are the part of Hamiltonians

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Wu, Xin, Ying Wang, Wei Sun, Fu-Yao Liu, and Wen-Biao Han. "Explicit Symplectic Methods in Black Hole Spacetimes." Astrophysical Journal 940, no. 2 (December 1, 2022): 166. http://dx.doi.org/10.3847/1538-4357/ac9c5d.

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Abstract Many Hamiltonian problems in the solar system are separable into two analytically solvable parts, and thus serve as a great chance to develop and apply explicit symplectic integrators based on operator splitting and composing. However, such constructions are not in general available for curved spacetimes in general relativity and modified theories of gravity because these curved spacetimes correspond to nonseparable Hamiltonians without the two-part splits. Recently, several black hole spacetimes such as the Schwarzschild black hole were found to allow for the construction of explicit

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Liu, Yingkai, and Emil Prodan. "A computer code for topological quantum spin systems over triangulated surfaces." International Journal of Modern Physics C 31, no. 07 (June 26, 2020): 2050091. http://dx.doi.org/10.1142/s0129183120500916.

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We derive explicit closed-form matrix representations of Hamiltonians drawn from tensored algebras, such as quantum spin Hamiltonians. These formulas enable us to soft-code generic Hamiltonian systems and to systematize the input data for uniformly structured as well as for un-structured Hamiltonians. The result is an optimal computer code that can be used as a black box that takes in certain input files and returns spectral information about the Hamiltonian. The code is tested on Kitaev’s toric model deployed on triangulated surfaces of genus 0 and 1. The efficiency of our code enables these

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Konig, R. "Simplifying quantum double Hamiltonians using perturbative gadgets." Quantum Information and Computation 10, no. 3&4 (March 2010): 292–334. http://dx.doi.org/10.26421/qic10.3-4-9.

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Perturbative gadgets were originally introduced to generate effective $k$-local interactions in the low-energy sector of a $2$-local Hamiltonian. Extending this idea, we present gadgets which are specifically suited for realizing Hamiltonians exhibiting non-abelian anyonic excitations. At the core of our construction is a perturbative analysis of a widely used hopping-term Hamiltonian. We show that in the low-energy limit, this Hamiltonian can be approximated by a certain ordered product of operators. In particular, this provides a simplified realization of Kitaev's quantum double Hamiltonians

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Childs, A. M., and R. Kothari. "Limitations on the simulation of non-sparse Hamiltonians." Quantum Information and Computation 10, no. 7&8 (July 2010): 669–84. http://dx.doi.org/10.26421/qic10.7-8-7.

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The problem of simulating sparse Hamiltonians on quantum computers is well studied. The evolution of a sparse $N \times N$ Hamiltonian $H$ for time $t$ can be simulated using $\O(\norm{Ht} \poly(\log N))$ operations, which is essentially optimal due to a no--fast-forwarding theorem. Here, we consider non-sparse Hamiltonians and show significant limitations on their simulation. We generalize the no--fast-forwarding theorem to dense Hamiltonians, ruling out generic simulations taking time $\o(\norm{Ht})$, even though $\norm{H}$ is not a unique measure of the size of a dense Hamiltonian $H$. We a

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SYLJUÅSEN, OLAV F. "RANDOM WALKS NEAR ROKHSAR–KIVELSON POINTS." International Journal of Modern Physics B 19, no. 12 (May 10, 2005): 1973–93. http://dx.doi.org/10.1142/s021797920502964x.

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There is a class of quantum Hamiltonians known as Rokhsar–Kivelson (RK)–Hamiltonians for which static ground state properties can be obtained by evaluating thermal expectation values for classical models. The ground state of an RK–Hamiltonian is known explicitly, and its dynamical properties can be obtained by performing a classical Monte Carlo simulation. We discuss the details of a Diffusion Monte Carlo method that is a good tool for studying statics and dynamics of perturbed RK–Hamiltonians without time discretization errors. As a general result we point out that the relation between the qu

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Dissertations / Theses on the topic "Hamiltonians"

1

ABENDA, SIMONETTA. "Analysis of Singularity Structures for Quasi-Integrable Hamiltonian Systems." Doctoral thesis, SISSA, 1994. http://hdl.handle.net/20.500.11767/4499.

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Nagaj, Daniel. "Local Hamiltonians in quantum computation." Thesis, Massachusetts Institute of Technology, 2008. http://hdl.handle.net/1721.1/45162.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Physics, 2008.<br>This electronic version was submitted by the student author. The certified thesis is available in the Institute Archives and Special Collections.<br>Includes bibliographical references (p. 169-176).<br>In this thesis, I investigate aspects of local Hamiltonians in quantum computing. First, I focus on the Adiabatic Quantum Computing model, based on evolution with a time- dependent Hamiltonian. I show that to succeed using AQC, the Hamiltonian involved must have local structure, which leads to a result about eige

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Assis, Paulo. "Non-Hermitian Hamiltonians in field theory." Thesis, City University London, 2009. http://openaccess.city.ac.uk/2118/.

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This thesis is centred around the role of non-Hermitian Hamiltonians in Physics both at the quantum and classical levels. In our investigations of two-level models we demonstrate [1] the phenomenon of fast transitions developed in the PT -symmetric quantum brachistochrone problem may in fact be attributed to the non-Hermiticity of evolution operator used, rather than to its invariance under PT operation. Transition probabilities are calculated for Hamiltonians which explicitly violate PT -symmetry. When it comes to Hilbert spaces of infinite dimension, starting with non-Hermitian Hamiltonians

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Ramaswami, Geetha Pillaiyarkulam. "Numerical solution of special separable Hamiltonians." Thesis, University of Cambridge, 1996. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.627541.

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Moore, David Jeffrey. "Non-adiabatic Berry phases for periodic Hamiltonians." Thesis, University of Canterbury. Physics, 1991. http://hdl.handle.net/10092/8072.

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A method for the calculation of Berry phases for periodic, but not necessarily adiabatic, Hamiltonians is reported. This method is based on a novel factorisation of the evolution operator and is in the spirit of the theory of systems of linear differential equations with periodic coefficients. The use of this approach in practical situations is greatly facilitated by exploiting the Fourier decomposition of the Hamiltonian. This converts the problem into an equivalent time-independent form. The solution to the problem is then expressible in terms of the eigenvectors and eigenvalues of a certai

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Yildirim, Yolcu Selma. "Eigenvalue inequalities for relativistic Hamiltonians and fractional Laplacian." Diss., Atlanta, Ga. : Georgia Institute of Technology, 2009. http://hdl.handle.net/1853/31649.

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Thesis (Ph.D)--Mathematics, Georgia Institute of Technology, 2010.<br>Committee Chair: Harrell, Evans; Committee Member: Chow, Shui-Nee; Committee Member: Geronimo, Jeffrey; Committee Member: Kennedy, Brian; Committee Member: Loss, Michael. Part of the SMARTech Electronic Thesis and Dissertation Collection.

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Bartlett, Bruce. "Flow equations for hamiltonians from continuous unitary transformations." Thesis, Stellenbosch : Stellenbosch University, 2003. http://hdl.handle.net/10019.1/53428.

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Thesis (MSc)--Stellenbosch University, 2003.<br>ENGLISH ABSTRACT: This thesis presents an overview of the flow equations recently introduced by Wegner. The little known mathematical framework is established in the initial chapter and used as a background for the entire presentation. The application of flow equations to the Foldy-Wouthuysen transformation and to the elimination of the electron-phonon coupling in a solid is reviewed. Recent flow equations approaches to the Lipkin model are examined thoroughly, paying special attention to their utility near the phase change boundary. We pre

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Duffus, Stephen N. A. "Open quantum systems, effective Hamiltonians and device characterisation." Thesis, Loughborough University, 2018. https://dspace.lboro.ac.uk/2134/33672.

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We investigate the some of the many subtleties in taking a microscopic approach to modelling the decoherence of an Open Quantum System. We use the RF-SQUID, which will be referred to as a simply a SQUID throughout this paper, as a non-linear example and consider different levels of approximation, with varied coupling, to show the potential consequences that may arise when characterising devices such as superconducting qubits in this manner. We first consider a SQUID inductively coupled to an Ohmic bath and derive a Lindblad master equation, to first and second order in the Baker-Campbell-Hausd

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9

Hyder, Asif M. "Green's operator for Hamiltonians with Coulomb plus polynomial potentials." California State University, Long Beach, 2013.

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10

Engeler, Marco Bruno Raphael. "New model Hamiltonians for improved orbital basis set convergence." Thesis, Cardiff University, 2006. http://orca.cf.ac.uk/54563/.

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The standard approach in quantum chemistry is to expand the eigenfunctions of the non relativistic Born Oppenheimer Hamiltonian in terms of Slater determinants. The quality improvements of such wavefunctions in terms of the underlying one electron basis is frustratingly slow. The error in the correlation energy decreases only with L 3 where L is the maximum angular momentum present in the basis. The integral evaluation effort that grows with 0(N4) prevents the use of ever larger bases for obtaining more accurate results. Most of the developments are therefore focused on wavefunction models wit

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Books on the topic "Hamiltonians"

1

Greiter, Martin. Mapping of Parent Hamiltonians. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-24384-4.

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Margaret, Houghton, ed. The Hamiltonians: [100 fascinating lives]. Toronto: J. Lorimer, 2003.

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3

Benguria, Rafael, Eduardo Friedman, and Marius Mantoiu, eds. Spectral Analysis of Quantum Hamiltonians. Basel: Springer Basel, 2012. http://dx.doi.org/10.1007/978-3-0348-0414-1.

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Hafner, Jürgen. From Hamiltonians to Phase Diagrams. Berlin, Heidelberg: Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-642-83058-7.

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

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6

Minlos, R., ed. Many-Particle Hamiltonians: Spectra and Scattering. Providence, Rhode Island: American Mathematical Society, 1991. http://dx.doi.org/10.1090/advsov/005.

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Bagarello, Fabio, Roberto Passante, and Camillo Trapani, eds. Non-Hermitian Hamiltonians in Quantum Physics. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-31356-6.

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Eduardo, Friedman, Mantoiu Marius, and SpringerLink (Online service), eds. Spectral Analysis of Quantum Hamiltonians: Spectral Days 2010. Basel: Springer Basel, 2012.

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9

Neagu, Mircea, and Alexandru Oană. Dual Jet Geometrization for Time-Dependent Hamiltonians and Applications. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-08885-8.

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Michel, Herman, ed. Global and accurate vibration Hamiltonians from high resolution molecular spectroscopy. New York: Wiley, 1999.

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Book chapters on the topic "Hamiltonians"

1

Agrachev, Andrei A., and Yuri L. Sachkov. "Hamiltonian Systems with Convex Hamiltonians." In Control Theory from the Geometric Viewpoint, 207–9. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-662-06404-7_14.

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2

Baaquie, Belal Ehsan. "Hamiltonians." In Mathematical Methods and Quantum Mathematics for Economics and Finance, 321–34. Singapore: Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-6611-0_14.

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3

Shell, Karl. "Hamiltonians." In The New Palgrave Dictionary of Economics, 1–4. London: Palgrave Macmillan UK, 1987. http://dx.doi.org/10.1057/978-1-349-95121-5_1166-1.

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Shell, Karl. "Hamiltonians." In The New Palgrave Dictionary of Economics, 1–4. London: Palgrave Macmillan UK, 2008. http://dx.doi.org/10.1057/978-1-349-95121-5_1166-2.

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Shell, Karl. "Hamiltonians." In The New Palgrave Dictionary of Economics, 5605–9. London: Palgrave Macmillan UK, 2018. http://dx.doi.org/10.1057/978-1-349-95189-5_1166.

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Exner, Pavel. "Pseudo-Hamiltonians." In Open Quantum Systems and Feynman Integrals, 146–212. Dordrecht: Springer Netherlands, 1985. http://dx.doi.org/10.1007/978-94-009-5207-2_4.

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Raduta, Apolodor Aristotel. "Boson Hamiltonians." In Nuclear Structure with Coherent States, 363–406. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-14642-3_13.

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Guelachvili, G. "Effective hamiltonians." In Linear Triatomic Molecules, 2–7. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/10837166_2.

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Kimmich, Rainer. "Spin Hamiltonians." In NMR, 418–26. Berlin, Heidelberg: Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/978-3-642-60582-6_46.

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Müller, Peter, and Peter Stollmann. "Percolation Hamiltonians." In Random Walks, Boundaries and Spectra, 235–58. Basel: Springer Basel, 2011. http://dx.doi.org/10.1007/978-3-0346-0244-0_13.

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Conference papers on the topic "Hamiltonians"

1

Butcher, Eric A., and S. C. Sinha. "On the Analysis of Time-Periodic Nonlinear Hamiltonian Dynamical Systems." In ASME 1995 Design Engineering Technical Conferences collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium. American Society of Mechanical Engineers, 1995. http://dx.doi.org/10.1115/detc1995-0277.

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Abstract In this paper, some analysis techniques for general time-periodic nonlinear Hamiltonian dynamical systems have been presented. Unlike the traditional perturbation or averaging methods, these techniques are applicable to systems whose Hamiltonians contain ‘strong’ parametric excitation terms. First, the well-known Liapunov-Floquet (L-F) transformation is utilized to convert the time-periodic dynamical system to a form in which the linear pan is time invariant. At this stage two viable alternatives are suggested. In the first approach, the resulting dynamical system is transformed to a

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2

Saue, Trond. "Relativistic Hamiltonians for chemistry." In INTERNATIONAL CONFERENCE OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING 2009: (ICCMSE 2009). AIP, 2012. http://dx.doi.org/10.1063/1.4771717.

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Privman, Vladimir, Dima V. Mozyrsky, and Steven P. Hotaling. "Hamiltonians for quantum computing." In AeroSense '97, edited by Steven P. Hotaling and Andrew R. Pirich. SPIE, 1997. http://dx.doi.org/10.1117/12.277664.

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Lévai, G. "On solvable Bohr Hamiltonians." In NUCLEAR PHYSICS, LARGE AND SMALL: International Conference on Microscopic Studies of Collective Phenomena. AIP, 2004. http://dx.doi.org/10.1063/1.1805947.

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BENDER, CARL M. "COMPLEX HAMILTONIANS HAVING REAL SPECTRA." In Proceedings of the Second International Symposium. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812777850_0002.

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Alexanian, G. "On the renormalization of Hamiltonians." In Montreal-Rochester-Syracuse-Toronto (MRST) conference on high energy physics. AIP, 2000. http://dx.doi.org/10.1063/1.1328913.

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Sheinfux, Hanan Herzig, Stella Schindler, Yaakov Lumer, and Mordechai Segev. "Recasting Hamiltonians with gauged-driving." In CLEO: QELS_Fundamental Science. Washington, D.C.: OSA, 2017. http://dx.doi.org/10.1364/cleo_qels.2017.fth1d.5.

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Hilbert, Astrid. "Degenerate Diffusions with regular Hamiltonians." In FOUNDATIONS OF PROBABILITY AND PHYSICS - 3. AIP, 2005. http://dx.doi.org/10.1063/1.1874570.

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Costello, J. B., S. D. O’Hara, Q. Wu, L. N. Pfeiffer, K. W. West, and M. S. Sherwin. "Experimental Hamiltonian Reconstruction via Polarimetry of High-order Sidebands in a Semiconductor." In CLEO: QELS_Fundamental Science. Washington, D.C.: Optica Publishing Group, 2022. http://dx.doi.org/10.1364/cleo_qels.2022.ftu5b.3.

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Accurate knowledge of the parameters of effective Hamiltonians of quasiparticles is critical for designing the next generation of quantum devices. We present a method to reconstruct quasiparticle Hamiltonians of semiconductors by polarimetry of high-order sidebands.

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Yoshida, Sota, Michio Kohno, Takashi Abe, Takaharu Otsuka, Naofumi Tsunoda, and Noritaka Shimizu. "Shell-Model Hamiltonians from Chiral Forces." In Proceedings of the Ito International Research Center Symposium "Perspectives of the Physics of Nuclear Structure". Journal of the Physical Society of Japan, 2018. http://dx.doi.org/10.7566/jpscp.23.013014.

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Reports on the topic "Hamiltonians"

1

Symon, K. R. Derivation of Hamiltonians for accelerators. Office of Scientific and Technical Information (OSTI), September 1997. http://dx.doi.org/10.2172/555549.

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. Trifonov, Dimitar A. Diagonalization of Hamiltonians, Uncertainty Matrices and Robertson Inequality. GIQ, 2012. http://dx.doi.org/10.7546/giq-2-2001-294-312.

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Boozer, A. H. Transformation of Hamiltonians to near action-angle form. Office of Scientific and Technical Information (OSTI), April 1985. http://dx.doi.org/10.2172/5760929.

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Nebgen, Benjamin, Justin Smith, Sergei Tretiak, and Nicholas Lubbers. Closeout Report: Machine Learned Effective Hamiltonians for Molecular Properties. Office of Scientific and Technical Information (OSTI), February 2021. http://dx.doi.org/10.2172/1768446.

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5

Isichenko, M. B., W. Horton, D. E. Kim, E. G. Heo, and D. I. Choi. Stochastic diffusion and Kolmogorov entropy in regular and random Hamiltonians. Office of Scientific and Technical Information (OSTI), May 1992. http://dx.doi.org/10.2172/7205669.

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Isichenko, M. B., W. Horton, D. E. Kim, E. G. Heo, and D. I. Choi. Stochastic diffusion and Kolmogorov entropy in regular and random Hamiltonians. Office of Scientific and Technical Information (OSTI), May 1992. http://dx.doi.org/10.2172/10156433.

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Somma, Rolando Diego. Hamiltonian Simulation. Office of Scientific and Technical Information (OSTI), May 2020. http://dx.doi.org/10.2172/1618318.

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Boozer, A. H. Magnetic field line Hamiltonian. Office of Scientific and Technical Information (OSTI), February 1985. http://dx.doi.org/10.2172/5915503.

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Ritchie, B. Electron-Vector Potential Interaction Hamiltonian. Office of Scientific and Technical Information (OSTI), March 2003. http://dx.doi.org/10.2172/15003914.

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Malitsky, N., G. Bourianoff, and Yu Severgin. Some remarks about pseudo-Hamiltonian. Office of Scientific and Technical Information (OSTI), November 1993. http://dx.doi.org/10.2172/10194905.

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