Results 11 to 20 of about 935 (218)
Path Integral Implementation of Relational Quantum Mechanics [PDF]
Scientific Reports, 2021 Abstract Relational formulation of quantum mechanics is based on the idea that relational properties among quantum systems, instead of the independent properties of a quantum system, are the most fundamental elements to construct quantum mechanics. In the recent works (J. M. Yang, Sci. Rep.
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Differentiable-path integrals in quantum mechanics [PDF]
International Journal of Geometric Methods in Modern Physics, 2015 A method is presented which restricts the space of paths entering the path integral of quantum mechanics to subspaces of Cα, by only allowing paths which possess at least α derivatives. The method introduces two external parameters, and induces the appearance of a particular time scale ϵD such that for time intervals longer than ϵD the model behaves ...
Koch, Benjamin, Reyes, Ignacio
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PATH INTEGRATION IN RELATIVISTIC QUANTUM MECHANICS [PDF]
International Journal of Modern Physics A, 1993 The simple physics of a free particle reveals important features of the path-integral formulation of relativistic quantum theories. The exact quantum-mechanical propagator is calculated here for a particle described by the simple relativistic action proportional to its proper time.
Redmount, Ian H., Suen, Wai-Mo
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Renormalized path integral in quantum mechanics [PDF]
Journal of Mathematical Physics, 1997 We obtain direct, finite, formulations of a renormalized quantum mechanical system with no reference to ultraviolet cutoffs and running coupling constants, in both the Hamiltonian and path integral pictures. The path integral description requires a modification to the Wiener measure on continuous paths that describes an unusual diffusion process ...
Henderson, R. J., Rajeev, S. G.
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Anomalous paths in quantum mechanical path-integrals
Physics Letters B, 2013 7 pages,6 ...
Grimsmo, Arne L. +2 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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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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Anomaly-Induced Transport Phenomena from Imaginary-Time Formalism
Particles, 2019 A derivation of anomaly-induced transport phenomena—the chiral magnetic/vortical effect—is revisited based on the imaginary-time formalism of quantum field theory.
Masaru Hongo, Yoshimasa Hidaka
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Solving Caldeira-Leggett Model by Inchworm Method with Frozen Gaussian Approximation [PDF]
QuantumWe propose an algorithm that combines the inchworm method and the frozen Gaussian approximation to simulate the Caldeira-Leggett model in which a quantum particle is coupled with thermal harmonic baths.
Geshuo Wang, Siyao Yang, Zhenning Cai
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Feynman Path Integral and Landau Density Matrix in Probability Representation of Quantum States
PhysicsThe quantizer–dequantizer method is employed. Using the construction of probability distributions describing density operators of a quantum system states, the connection between the Feynman path integral and the time evolution of the density operator ...
Olga V. Man’ko
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