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How to solve path integrals in quantum mechanics [PDF]
Journal of Mathematical Physics, 1995 A systematic classification of Feynman path integrals in quantum mechanics is presented and a table of solvable path integrals is given which reflects the progress made during the last 15 years, including, of course, the main contributions since the invention of the path integral by Feynman in 1942.
Grosche, Christian, Steiner, Frank
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Anomalous paths in quantum mechanical path-integrals
Physics Letters B, 2013 We investigate modifications of the discrete-time lattice action, for a quantum mechanical particle in one spatial dimension, that vanish in the na ve continuum limit but which, nevertheless, induce non-trivial effects due to quantum fluctuations. These effects are seen to modify the geometry of the paths contributing to the path-integral describing ...
Grimsmo, Arne L. +2 more
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Nonperturbative renormalization of quantum thermodynamics from weak to strong couplings
Physical Review Research, 2022 By solving the exact master equation of open quantum systems, we formulate the quantum thermodynamics from weak to strong couplings. The open quantum systems exchange matters, energies, and information with their reservoirs through quantum particle ...
Wei-Ming Huang, Wei-Min Zhang
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014 A quantum path integral was transformed into the real form using a complex representation of the time. Such procedure gives the possibility to specify measures for the sets of the virtual paths in continual integrals determining amplitudes of quantum ...
Natalia V Meleshko, Alexey Yu Samarin
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A path integral for classical dynamics, entanglement, and Jaynes-Cummings model at the quantum-classical divide [PDF]
, 2010 The Liouville equation differs from the von Neumann equation 'only' by a characteristic superoperator. We demonstrate this for Hamiltonian dynamics, in general, and for the Jaynes-Cummings model, in particular. -- Employing superspace (instead of Hilbert
Adler S. L. +7 more
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Unraveling looping efficiency of stochastic Cosserat polymers
Physical Review Research, 2022 Understanding looping probabilities, including the particular case of ring closure or cyclization, of fluctuating polymers (e.g., DNA) is important in many applications in molecular biology and chemistry.
Giulio Corazza, Raushan Singh
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A naturally regularized path integral formalism
European Physical Journal C: Particles and Fields, 2019 A minimal uncertainty in position measurement comes into play if, for instance, one incorporates gravitational interaction of photon and electron in the Heisenberg’s Electron Microscope Gedanken Experiment.
Kourosh Nozari +3 more
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Morlet Wavelets in Quantum Mechanics
Quanta, 2012 Wavelets offer significant advantages for the analysis of problems in quantum mechanics. Because wavelets are localized in both time and frequency they avoid certain subtle but potentially fatal conceptual errors that can result from the use of plane ...
John Ashmead
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Feynman's Path Integrals and Bohm's Particle Paths [PDF]
, 2005 Both Bohmian mechanics, a version of quantum mechanics with trajectories, and Feynman's path integral formalism have something to do with particle paths in space and time. The question thus arises how the two ideas relate to each other.
Albeverio S A +5 more
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European Physical Journal C: Particles and Fields, 2018 Given the classical dynamics of a non-relativistic particle in terms of a Hamiltonian or an action, it is relatively straightforward to obtain the non-relativistic quantum mechanics (NRQM) of the system.
T. Padmanabhan
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