Path integral formulation of noncommutative quantum mechanics [PDF]
Journal of High Energy Physics, 2001 We propose a phase-space path integral formulation of noncommutative quantum mechanics, and prove its equivalence to the operatorial formulation. As an illustration, the partition function of a noncommutative two-dimensional harmonic oscillator is calculated.
C. Acatrinei
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Addressing the curse of dimensionality in stochastic dynamics: a Wiener path integral variational formulation with free boundaries [PDF]
Proceedings of the Royal Society A, 2020 A Wiener path integral variational formulation with free boundaries is developed for determining the stochastic response of high-dimensional nonlinear dynamical systems in a computationally efficient manner.
Ioannis Petromichelakis +1 more
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State-dependent diffusion: Thermodynamic consistency and its path integral formulation. [PDF]
Physical review. E, Statistical, nonlinear, and soft matter physics, 2007 The friction coefficient of a particle can depend on its position, as it does when the particle is near a wall. We formulate the dynamics of particles with such state-dependent friction coefficients in terms of a general Langevin equation with ...
A. Lau, T. Lubensky
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Path-integral formulation of pseudo-Hermitian quantum mechanics and the role of the metric operator [PDF]
, 2007 We provide a careful analysis of the generating functional in the path integral formulation of pseudo-Hermitian and in particular PT-symmetric quantum mechanics and show how the metric operator enters the expression for the generating functional.Comment:
Alí Mostafazadeh
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PATH-INTEGRAL FORMULATION OF CASIMIR EFFECTS IN SUPERSYMMETRIC QUANTUM ELECTRODYNAMICS [PDF]
, 1999 The Casimir effect is an interesting phenomenon in the sense that it provides us with one of the primitive means of extracting the energy out of the vacuum. Since the original work of Casimir a number of works have appeared in extending the result to the
HIROYUKI ABE +3 more
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Derivation of the Schrödinger equation from the Hamilton–Jacobi equation in Feynman's path integral formulation of quantum mechanics [PDF]
, 2012 It is shown how the time-dependent Schrödinger equation may be simply derived from the dynamical postulate of Feynman's path integral formulation of quantum mechanics and the Hamilton–Jacobi equation of classical mechanics.
J. Field
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Path-integral formulation of scattering theory
Physical Review D, 1975 A new formulation of nonrelativistic scattering theory is developed which expresses the S matrix as a path integral. This formulation appears to have at least two advantages: (1) A closed formula is obtained for the S matrix in terms of the potential, not involving a series expansion; (2) the energy-conserving δ function can be explicitly extracted ...
W. B. Campbell +3 more
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On the path integral formulation of Wigner–Dunkl quantum mechanics [PDF]
Journal of Physics A: Mathematical and Theoretical, 2023 Feynman’s path integral approach is studied in the framework of the Wigner–Dunkl deformation of quantum mechanics. We start with reviewing some basics from Dunkl theory and investigate the time evolution of a Gaussian wave packet, which exhibits the same
Georg Junker
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Dynamic density and spin responses of a superfluid Fermi gas in the BCS-BEC crossover: Path integral formulation and pair fluctuation theory [PDF]
, 2016 Lianyi He
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Path integral study of the Casimir effect in a chiral medium [PDF]
EPJ Web of Conferences, 2022 The Casimir effect is a remarkable macroscopic feature of QED, while recent lattice studies have also shown its potential nontrivial consequences in QCD.
Oosthuyse Thomas +4 more
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