Results 31 to 40 of about 169,346 (282)

Feynman formulae for solutions of Schrodinger-type equations with fourth-power polinomial potentials [PDF]

open access: yesКомпьютерные исследования и моделирование, 2012
The conditions for the existence of Feynman integrals in a sense of analytic continuation of the exponential functionals with a fourth-power polynomial in the index are studied, their presentations by Gaussian integrals are constructed in the paper.
Anna Konstantinovna Kravtseva
doaj   +1 more source

Chern-Simons Path Integrals in S2 × S1

open access: yesMathematics, 2015
Using torus gauge fixing, Hahn in 2008 wrote down an expression for a Chern-Simons path integral to compute the Wilson Loop observable, using the Chern-Simons action \(S_{CS}^\kappa\), \(\kappa\) is some parameter.
Adrian P. C. Lim
doaj   +1 more source

Numerical calculations of the probabilities for quantum transitions in atoms and molecules by the path integral method

open access: yesEPJ Web of Conferences, 2017
The probabilities of molecular quantum transitions induced by electromagnetic field are expressed as path integrals of a real alternating functional. We propose a new method for computing these integrals by means of recurrence relations.
Biryukov Alexander, Degtyareva Yana
doaj   +1 more source

Path Integrals in Lattice Quantum Chromodynamics

open access: yes, 2007
I discuss the use of path integrals to study strong-interaction physics from first principles. The underlying theory is cast into path integrals which are evaluated numerically using Monte Carlo methods on a space-time lattice.
Lee, Frank X.
core   +1 more source

Path Integrals on Euclidean Space Forms [PDF]

open access: yes, 2015
In this paper we develop a quantization method for flat compact manifolds based on path integrals. In this method the Hilbert space of holomorphic functions in the complexification of the manifold is used. This space is a reproducing kernel Hilbert space.
Capobianco, Guillermo, Reartes, Walter
core   +3 more sources

Simplified path integral for supersymmetric quantum mechanics and type-A trace anomalies

open access: yesJournal of High Energy Physics, 2018
Particles in a curved space are classically described by a nonlinear sigma model action that can be quantized through path integrals. The latter require a precise regularization to deal with the derivative interactions arising from the nonlinear kinetic ...
Fiorenzo Bastianelli   +2 more
doaj   +1 more source

Building a path-integral calculus: a covariant discretization approach

open access: yes, 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
core   +2 more sources

Coordinate Independence of of Quantum-Mechanical Path Integrals

open access: yes, 2000
We develop simple rules for performing integrals over products of distributions in coordinate space. Such products occur in perturbation expansions of path integrals in curvilinear coordinates, where the interactions contain terms of the form dot q^2 q^n,
't Hooft   +3 more
core   +1 more source

Non-perturbative double scaling limits [PDF]

open access: yes, 2002
Recently, the author has proposed a generalization of the matrix and vector models approach to the theory of random surfaces and polymers. The idea is to replace the simple matrix or vector (path) integrals by gauge theory or non-linear sigma model (path)
Ferrari F., FRANK FERRARI, Neumann C.
core   +3 more sources

Quantum Propagator Derivation for the Ring of Four Harmonically Coupled Oscillators

open access: yesJurnal Penelitian Fisika dan Aplikasinya, 2019
The ring model of the coupled oscillator has enormously studied from the perspective of quantum mechanics. The research efforts on this system contribute to fully grasp the concepts of energy transport, dissipation, among others, in mesoscopic and ...
James Mendoza Gallo   +1 more
doaj   +1 more source

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