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Path Integrals and Their Application to Dissipative Quantum Systems [PDF]
, 2002 Introduction Path Integrals - Introduction - Propagator - Free Particle - Path Integral Representation of Quantum Mechanics - Particle on a Ring - Particle in a Box - Driven Harmonic Oscillator - Semiclassical Approximation ...
A. Auerbach +31 more
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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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Classification of Solvable Feynman Path Integrals
, 1992 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 ten years or so, including, of course, the main contributions since ...
Grosche, Christian, Steiner, Frank
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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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Quantizing Constrained Systems: New Perspectives [PDF]
, 1997 We consider quantum mechanics on constrained surfaces which have non-Euclidean metrics and variable Gaussian curvature. The old controversy about the ambiguities involving terms in the Hamiltonian of order hbar^2 multiplying the Gaussian curvature is ...
B. S. Dewitt +23 more
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Functional methods for false-vacuum decay in real time
Journal of High Energy Physics, 2019 We present the calculation of the Feynman path integral in real time for tunneling in quantum mechanics and field theory, including the first quantum corrections.
Wen-Yuan Ai +2 more
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Invariance in adelic quantum mechanics
, 2006 Adelic quantum mechanics is form invariant under an interchange of real and p-adic number fields as well as rings of p-adic integers. We also show that in adelic quantum mechanics Feynman's path integrals for quadratic actions with rational coefficients ...
A.Yu. Khrennikov +12 more
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Persistence and nonpersistence as complementary models of identical quantum particles
New Journal of Physics, 2019 Classical mechanics is based on the notion that matter consists of persistent particles that can be reidentified (or tracked) across time. However, the mathematical symmetrization procedures (due to Dirac (1926 Proc. R. Soc.
Philip Goyal
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Building a path-integral calculus: a covariant discretization approach
, 2019 Path integrals are a central tool when it comes to describing quantum or thermal fluctuations of particles or fields. Their success dates back to Feynman who showed how to use them within the framework of quantum mechanics.
Cugliandolo, Leticia F. +2 more
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