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Relevant bibliographies by topics / Quantum mechanics on curved spacetime

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Academic literature on the topic 'Quantum mechanics on curved spacetime'

Author: Grafiati

Published: 22 February 2023

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Journal articles on the topic "Quantum mechanics on curved spacetime"

1

Robles-Pérez, Salvador J. "Quantum Cosmology in the Light of Quantum Mechanics." Galaxies 7, no. 2 (2019): 50. http://dx.doi.org/10.3390/galaxies7020050.

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There is a formal analogy between the evolution of the universe, when it is seen as a trajectory in the minisuperspace, and the worldline followed by a test particle in a curved spacetime. The analogy can be extended to the quantum realm, where the trajectories are transformed into wave packets that give us the probability of finding the universe or the particle in a given point of their respective spaces: the spacetime in the case of the particle and the minisuperspace in the case of the universe. The wave function of the spacetime and the matter fields, all together, can then be seen as a su

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SINGH, DINESH, and NADER MOBED. "A NEW PERSPECTIVE ON PATH INTEGRAL QUANTUM MECHANICS IN CURVED SPACETIME." Modern Physics Letters A 27, no. 16 (2012): 1250065. http://dx.doi.org/10.1142/s0217732312500654.

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A fundamentally different approach to path integral quantum mechanics in curved spacetime is presented for scalar particle propagation on a locally curved background, as described by Fermi or Riemann normal coordinates. While using a strictly non-unitary form of local time translation involving Lie transport, the formalism nevertheless correctly recovers the free-particle Lagrangian in curved spacetime, plus new contributions. All the probability violating terms due to curvature contribute to a quantum violation of the weak equivalence principle at the particle's Compton wavelength scale and t

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KRÓL, JERZY. "TOPOS THEORY AND SPACETIME STRUCTURE." International Journal of Geometric Methods in Modern Physics 04, no. 02 (2007): 297–303. http://dx.doi.org/10.1142/s0219887807002028.

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According to the recently proposed model of spacetime, various difficulties of quantum field theories and semiclassical quantum gravity on curved 4-Minkowski spacetimes gain new formulations, leading to new solutions. The quantum mechanical effects appear naturally when diffeomorphisms are lifted to 2-morphisms between topoi. The functional measures can be well defined. Diffeomorphisms invariance and background independence are approached from the perspective of topoi. In the spacetimes modified at short distances by the internal structure of some topoi, the higher dimensional regions appear a

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Cariglia, Marco. "Quantum mechanics of Yano tensors: Dirac equation in curved spacetime." Classical and Quantum Gravity 21, no. 4 (2004): 1051–77. http://dx.doi.org/10.1088/0264-9381/21/4/022.

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Jalalzadeh, Shahram, and A. J. S. Capistrano. "Bohmian mechanics of Klein–Gordon equation via quantum metric and mass." Modern Physics Letters A 34, no. 33 (2019): 1950270. http://dx.doi.org/10.1142/s0217732319502705.

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The causal stochastic interpretation of relativistic quantum mechanics has the problems of superluminal velocities, motion backward in time and the incorrect non-relativistic limit. In this paper, according to the original ideas of de Broglie, Bohm and Takabayasi, we introduce simultaneously a quantum mass and a quantum metric of a curved spacetime to obtain a correct relativistic theory free of mentioned problems.

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Arminjon, Mayeul, and Frank Reifler. "Basic quantum mechanics for three Dirac equations in a curved spacetime." Brazilian Journal of Physics 40, no. 2 (2010): 242–55. http://dx.doi.org/10.1590/s0103-97332010000200020.

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Bilic, Neven, and Dijana Tolic. "Analogue cosmology in a hadronic fluid." Facta universitatis - series: Physics, Chemistry and Technology 12, no. 2 (2014): 77–83. http://dx.doi.org/10.2298/fupct1402077b.

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Analog gravity models of general relativity seem promising routes to providing laboratory tests of the foundation of quantum field theory in curved space-time. In contrast to general relativity, where geometry of a spacetime is determined by the Einstein equations, in analog models geometry and evolution of analog spacetime are determined by the equations of fluid mechanics. In this paper we study the analogue gravity model based on massless pions propagating in a expanding hadronic fluid. The analog expanding spacetime takes the form of an FRW universe, with the apparent and trapping horizons

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Canarutto, Daniel, Marco Modugno, and Arkadiusz Jadczyk. "Quantum mechanics of a spin particle in a curved spacetime with absolute time." Reports on Mathematical Physics 36, no. 1 (1995): 99–145. http://dx.doi.org/10.1016/0034-4877(96)82487-6.

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Alsing, P. M., J. C. Evans, and K. K. Nandi. "The Phase of a Quantum Mechanical Particle in Curved Spacetime." General Relativity and Gravitation 33, no. 9 (2001): 1459–87. http://dx.doi.org/10.1023/a:1012284625541.

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Kuipers, Folkert. "Analytic continuation of stochastic mechanics." Journal of Mathematical Physics 63, no. 4 (2022): 042301. http://dx.doi.org/10.1063/5.0073096.

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We study a (relativistic) Wiener process on a complexified (pseudo-)Riemannian manifold. Using Nelson’s stochastic quantization procedure, we derive three equivalent descriptions for this problem. If the process has a purely real quadratic variation, we obtain the one-sided Wiener process that is encountered in the theory of Brownian motion. In this case, the result coincides with the Feyman–Kac formula. On the other hand, for a purely imaginary quadratic variation, we obtain the two-sided Wiener process that is encountered in stochastic mechanics, which provides a stochastic description of a

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Dissertations / Theses on the topic "Quantum mechanics on curved spacetime"

1

Di, Gennaro Sofia. "Quantum rotating black holes and extra dimensions." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2020. http://amslaurea.unibo.it/19851/.

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We employ the formalism of the Horizon Quantum Mechanics to describe the gravitational radius of compact sources by means of an operator and derive a Horizon Wave Function which will allow us to estimate the probability of formation of black holes in scattering processes. If the Planck scale is kept at its standard value, however, it will be impossible to test that regime with any foreseeable technology. We then review how the introduction of extra dimensions can potentially lower the Planck scale down to the TeV range in an attempt to solve the hierarchy problem. In this context, we proceed b

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Grant, James D. E. "Spacetime distortion and quantum gravity." Thesis, University of Cambridge, 1994. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.321392.

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Hodgkinson, Lee. "Particle detectors in curved spacetime quantum field theory." Thesis, University of Nottingham, 2013. http://eprints.nottingham.ac.uk/13636/.

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Unruh-DeWitt particle detector models are studied in a variety of time-dependent and time-independent settings. We work within the framework of first-order perturbation theory and couple the detector to a massless scalar field. The necessity of switching on (off) the detector smoothly is emphasised throughout, and the transition rate is found by taking the sharp-switching limit of the regulator-free and finite response function. The detector is analysed on a variety of spacetimes: d-dimensional Minkowski, the Banados-Teitelboim-Zanelli (BTZ) black hole, the two-dimensional Minkowski half-plane

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Hollands, Stefan. "Aspects of quantum field theory in curved spacetime." Thesis, University of York, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.325670.

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Palmer, Matthew. "Relativistic quantum information theory and quantum reference frames." Thesis, The University of Sydney, 2013. http://hdl.handle.net/2123/9891.

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This thesis is a compilation of research in relativistic quantum information theory, and research in quantum reference frames. The research in the former category provides a fundamental construction of quantum information theory of localised qubits in curved spacetimes. For example, this concerns quantum experiments on free-space photons and electrons in the vicinity of the Earth. From field theory a description of localised qubits that traverse classical trajectories in curved spacetimes is obtained, for photons and massive spin-1/2 fermions. The equations governing the evolution of the two-d

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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, Schr&ouml<br>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<br>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 wi

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Long, D. V. "Quantum field theory in curved spacetime and the Schrödinger representation." Thesis, Swansea University, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.637948.

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One of the fundamental questions in quantum field theory in curved spacetime concerns the nature of the vacuum state. This is the subject that we address in this thesis. A generalised Schrödinger wave functional equation is constructed, and a general framework is introduced to solve the Schrödinger equation for a general curved spacetime. Vacuum wave functional solutions are given for a wide class of spacetimes; namely static, dynamic and conformally static. These include the physically important Robertson-Walker, Bianchi type I, de Sitter, Rindler and Schwarzschild spacetimes. The nature of t

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Manning, Adrian Gordon. "Quantum Fields in Curved Spacetime with Cosmological and Gravitational Wave Implications." Thesis, The University of Sydney, 2018. http://hdl.handle.net/2123/17804.

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A range of novel ideas, covering both general relativity and quantum field theory are introduced and explored. An analytic procedure for theories that modify the stress-energy-tensor in general relativity is examined which compares predicted deviations in the gravitational wave radiation from binary black hole mergers to the observed waveform from recent detections, i.e GW150914. This is applied directly to the theory of non-commutative spacetimes, which ultimately constrains the scale of non-commutative spacetime up to the Planck scale, some 15 orders of magnitude improvement on previous boun

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Takahashi, Maki. "Studies in relativity and quantum information theory." Thesis, The University of Sydney, 2013. http://hdl.handle.net/2123/9915.

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This thesis explores a broad range of topics in the foundations of relativity and quantum information theory. The first and main topic of this thesis is on relativistic quantum information theory. Here we construct a reformulation of quantum information, which is consistent with relativity theory. We will see that by providing a rigorous formulation starting with the field equations for a massive fermion and a photon we can construct a theory for relativistic quantum information. In particular we provide a measurement formalism, a transport equation which describes the unitary evolution of a s

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Borrott, Andrew Robert. "Admissible states for quantum fields and allowed temperatures of extremal black holes." Thesis, University of York, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.245966.

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Books on the topic "Quantum mechanics on curved spacetime"

1

NATO Advanced Research Workshop on Quantum Mechanics in Curved Space-Time (1989 Erice, Italy). Quantum mechanics in curved space-time. Plenum Press, 1990.

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2

Audretsch, Jürgen, and Venzo de Sabbata, eds. Quantum Mechanics in Curved Space-Time. Springer US, 1990. http://dx.doi.org/10.1007/978-1-4615-3814-1.

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Audretsch, Jürgen. Quantum Mechanics in Curved Space-Time. Springer US, 1990.

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4

Quantum field theory in curved spacetime and black hole thermodynamics. University of Chicago Press, 1994.

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5

Wald, Robert M. Quantum field theory in curved spacetime and black hole thermodynamics. University of Chicago Press, 1994.

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6

Parker, Leonard Emanuel. Quantum field theory in curved spacetime: Quantized fields and gravity. Cambridge University Press, 2009.

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7

Prugovečki, Eduard. Stochastic quantum mechanics and quantum spacetime: Consistent unification of relativity and quantum theory based on stochastic spaces. D. Reidel Pub. Co., 1986.

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Prugovečki, Eduard. Stochastic Quantum Mechanics and Quantum Spacetime: A Consistent Unification of Relativity and Quantum Theory Based on Stochastic Spaces. Springer Netherlands, 1986.

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9

Kachelriess, Michael. Quantum fields in curved spacetime. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198802877.003.0023.

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After a review of conformal symmetry, this chapter covers the quantisation of fields in curved space-times. It is shown that field operators defined with respect to different vacua are related by a Bogolyubov transformation and that the mixing of positive and negative frequencies determines the amount of particle production. The Unruh effect is explained and it is shown that in a space-time with an event horizon, a thermal spectrum of particles is created close to the horizon.

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Relativity in Curved Spacetime. Chocolate Tree Books, 2008.

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Book chapters on the topic "Quantum mechanics on curved spacetime"

1

Canarutto, Daniel, Arkadiusz Jadczyk, and Marco Modugno. "On Quantum Mechanics in a Curved Spacetime with Absolute Time." In Quantization, Coherent States, and Complex Structures. Springer US, 1995. http://dx.doi.org/10.1007/978-1-4899-1060-8_1.

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2

DeWitt-Morette, Cécile. "Quantum Mechanics in Curved Spacetimes Stochastic Processes on Frame Bundles." In NATO ASI Series. Springer US, 1990. http://dx.doi.org/10.1007/978-1-4615-3814-1_3.

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3

Saller, Heinrich. "Quantum Mechanics." In Operational Spacetime. Springer New York, 2009. http://dx.doi.org/10.1007/978-1-4419-0898-8_5.

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4

Narlikar, Jayant V., and T. Padmanabhan. "Quantum Theory in Curved Spacetime." In Gravity, Gauge Theories and Quantum Cosmology. Springer Netherlands, 1986. http://dx.doi.org/10.1007/978-94-009-4508-1_9.

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Kay, Bernard S. "Quantum Field Theory in Curved Spacetime." In Mathematical Physics X. Springer Berlin Heidelberg, 1992. http://dx.doi.org/10.1007/978-3-642-77303-7_40.

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Panangaden, Prakash. "Quantum Information Channels in Curved Spacetime." In Models of Computation in Context. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-21875-0_23.

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Kay, Bernard S. "Quantum Field Theory in Curved Spacetime." In Differential Geometrical Methods in Theoretical Physics. Springer Netherlands, 1988. http://dx.doi.org/10.1007/978-94-015-7809-7_20.

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O’Hara, Paul. "Minkowski Space and Quantum Mechanics." In Space, Time, and Spacetime. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-13538-5_4.

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Iyer, B. R. "Quantum Field Theory in Curved Spacetime: Canonical Quantization." In Gravitation, Gauge Theories and the Early Universe. Springer Netherlands, 1989. http://dx.doi.org/10.1007/978-94-009-2577-9_15.

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Wald, Robert M. "The Formulation of Quantum Field Theory in Curved Spacetime." In Einstein Studies. Springer New York, 2018. http://dx.doi.org/10.1007/978-1-4939-7708-6_15.

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Conference papers on the topic "Quantum mechanics on curved spacetime"

1

HARTLE, JAMES B. "SPACETIME QUANTUM MECHANICS." In Proceedings of the Inaugural Conference of the Michigan Center for Theoretical Physics. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812778185_0008.

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FORD, L. H. "D3: QUANTUM FIELD THEORY IN CURVED SPACETIME." In Proceedings of the 16th International Conference. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812776556_0036.

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FREDENHAGEN, KLAUS. "D3: QUANTUM FIELD THEORY ON CURVED SPACETIME." In Proceedings of the 17th International Conference. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812701688_0035.

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Milburn, G. J., T. Downes, Timothy Ralph, and Ping Koy Lam. "Estimating the metric in curved spacetime with quantum fields." In QUANTUM COMMUNICATION, MEASUREMENT AND COMPUTING (QCMC): The Tenth International Conference. AIP, 2011. http://dx.doi.org/10.1063/1.3630158.

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BARS, ITZHAK. "GAUGE SYMMETRY IN PHASE SPACE CONSEQUENCES FOR PHYSICS AND SPACETIME." In Quantum Mechanics, Elementary Particles, Quantum Cosmology and Complexity. WORLD SCIENTIFIC, 2010. http://dx.doi.org/10.1142/9789814335614_0026.

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Drachal, Krzysztof. "Spacetime Structure Implications from Quantum Mechanics and Relativity." In The 4th Electronic International Interdisciplinary Conference. Publishing Society, 2015. http://dx.doi.org/10.18638/eiic.2015.4.1.462.

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Grib, A. A., Yu V. Pavlov, Piotr Kielanowski, Anatol Odzijewicz, Martin Schlichenmeier, and Theodore Voronov. "Quantum field theory in curved spacetime and the dark matter problem." In XXVI INTERNATIONAL WORKSHOP ON GEOMETRICAL METHODS IN PHYSICS. AIP, 2007. http://dx.doi.org/10.1063/1.2820984.

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RAUSCHER, ELIZABETH A., JAMES J. HURTAK, and DESIRE E. HURTAK. "Reexamining Quantum Gravity." In Unified Field Mechanics: Natural Science Beyond the Veil of Spacetime. WORLD SCIENTIFIC, 2015. http://dx.doi.org/10.1142/9789814719063_0021.

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Longhi, S., D. Janner, M. Marangom, and P. Laporta. "Quantum mechanics in periodically curved optical waveguides." In Nonlinear Guided Waves and Their Applications. OSA, 2004. http://dx.doi.org/10.1364/nlgw.2004.mc25.

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KAR, SUPRIYA, K. PRIYABRAT PANDEY, SUNITA SINGH, and ABHISHEK K. SINGH. "CURVED D-BRANEWORLD ACTION IN 4D AND BLACK HOLES." In Quantum Mechanics, Elementary Particles, Quantum Cosmology and Complexity. WORLD SCIENTIFIC, 2010. http://dx.doi.org/10.1142/9789814335614_0058.

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