Results 301 to 310 of about 436,858 (367)

Path integral formulation for eigenfunctions

Il Nuovo Cimento B Series 11, 1976
We generalize the path integral technique of quantum mechanics to provide direct expressions for energy eigenfunctions. We illustrate our technique with the harmonic oscillator.
W. B. Campbell, P. Finkler, C. E. Jones, M. N. Misheloff   +3 more
openaire   +1 more source

Berry’s phase through the path integral formulation

American Journal of Physics, 2007
We study the evolution of a quantum system under adiabatic conditions using the path integral formulation. We obtain the Berry phase for systems with nondegenerate and degenerate energy spectra and recover well-known results. We also present a simple derivation of the adiabatic theorem.
Alves, M. A., Thomaz, M. T.
openaire   +1 more source

Quantum Path Integral Approach for Vehicle Routing Optimization With Limited Qubit

IEEE transactions on intelligent transportation systems (Print)
The Vehicle Routing Problem (VRP) is a crucial combinatorial optimization problem in transportation, logistics, and supply chain management. Quantum computing has gained interest in solving complex optimization issues.
Kumar Gautam, Chang Wook Ahn
semanticscholar   +1 more source

Understanding Diffusion Models by Feynman's Path Integral

International Conference on Machine Learning
Score-based diffusion models have proven effective in image generation and have gained widespread usage; however, the underlying factors contributing to the performance disparity between stochastic and deterministic (i.e., the probability flow ODEs ...
Y. Hirono, A. Tanaka, Kenji Fukushima
semanticscholar   +1 more source

Path-integral formulation of ion heating

The Physics of Fluids, 1988
A description of the generation and evolution of ionospheric oxygen ion conic distributions by electromagnetic ion cyclotron resonance heating is formulated in terms of a path integral. All of the relevant physics is contained in this path integral, which may be used to calculate measurable properties of the conic distribution.
G. B. Crew, Tom Chang
openaire   +1 more source

Path integral formulation of Roothaan's equations

International Journal of Quantum Chemistry, 1988
AbstractThe generating functional Z(N) of the molecular orbital theory of N electrons has been projected into a subspace of atomic orbitals. By application of the saddle‐Point approximataions to the corresponding effective action, a set of equations of motion results. These equations are the classical Roothaan's equations of quantum chemistry.
openaire   +1 more source

Path Integral Formulation for Chern-Simons Quantum Mechanics

International Journal of Theoretical Physics, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Feng-Hua, Li, Yong-Ming, Huang, Yi, Jing, Jian   +3 more
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Integrating Gauge Fields in the ζ-Formulation of Feynman’s Path Integral

2020
In recent work by the authors, a connection between Feynman's path integral and Fourier integral operator $ $-functions has been established as a means of regularizing the vacuum expectation values in quantum field theories. However, most explicit examples using this regularization technique to date, do not consider gauge fields in detail.
Hartung, Tobias, Jansen, Karl
openaire   +1 more source

Path Integral Formulation of Quantum Electrodynamics

2016
Let us consider a pure Abelian gauge theory given by the Lagrangian $$\displaystyle\begin{array}{rcl} \mathcal{L}_{\text{photon}}& =& -\frac{1} {4}F_{\mu \nu }F^{\mu \nu } \\ & =& -\frac{1} {4}\left (\partial _{\mu }A_{\nu } - \partial _{\nu }A_{\mu }\right )\left (\partial ^{\mu }A^{\nu } - \partial ^{\nu }A^{\mu }\right ){}\end{array}$$ (36.1)
Walter Dittrich, Martin Reuter
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Path Integral Formulation

2022
S. Rajasekar, R. Velusamy
openaire   +1 more source