aqora

A NUMERICAL METHOD FOR EVALUATING FEYNMAN PATH INTEGRALS

Richard J. Creswick

A method for numerically evaluating Feynman path integrals based on the density of actions is presented. The method is illustrated by calculating the propagator for the free particle and the simple harmonic oscillator.

Modern Physics Letters BMay 20, 19954 citations

On Model Theory, Zilber and Physics

Åsa Hirvonen, Tapani Hyttinen

We study B. Zilber's method of calculating the Feynman propagator for the free particle and harmonic oscillator.

Jun 19, 20141 citation

The harmonic oscillator propagator

Barry R. Holstein

The Feynman propagator for the harmonic oscillator is evaluated by a variety of path-integral-based means.

American Journal of PhysicsJul 1, 199858 citations

รายละเอยดการตพมพเผยแพร เรอง Evaluation of correlation functions and wave-functions of the Gaussian random potentials by numerical shooting method ในJournal of Mathematical Chemistry (30 April 2014) อยโนฐานขอมล ISI (Quartile 3)

อาทิตย์ หู้เต็ม

รายละเอยดการตพมพเผยแพร เรอง Evaluation of correlation functions and wave-functions of the Gaussian random potentials by numerical shooting method ในJournal of Mathematical Chemistry (30 April 2014) อยโนฐานขอมล ISI (Quartile 3) เมอวนท 2014-01-01

ระบบฐานข้อมูลงานวิจัย สถาบันวิจัยและพัฒนา มหาวิทยาลัยราชภัฏเพชรบูรณ์Jun 30, 20170 citations

Extended Feynman formula for harmonic oscillator

P. A. Horváthy

International Journal of Theoretical PhysicsApr 1, 197945 citations

Penentuan Density Matrix Sistem Kuantum Satu Partikel Dimensi Satu dengan Metode Discretized Path Integral (DPI)

Iyan Islamiyati, I Wayan Sudiarta, Lily Maysari Angraini

A mixed quantum system can be represented by a density matrix. By knowing the density matrix of the system, other thermodynamic properties of the system such as Helmholtz free energy and entropy can be determined. Computation of the density matrix of a one-dimensional single-particle quantum system using the discretized path integral(DPI) method is presented. The results of the DPI method were validated using the finite difference time domain (FDTD) method for a particle in an infinite square well and harmonic oscillator potentials. The results of density matrix, Helmholtz’s free energy and entropy have shown that the DPI method produces correct numerical values compared to the FDTD results. Then, the DPI method is used in the double-well potential by giving variations in barrier potential and temperature of the system. The results show that the particle will be tunneling when the barrier potential energy is more than the kinetic energy of the particle. The particle also can tunnel easily if the system has the higher temperature.A mixed quantum system can be represented by a density matrix. By knowing the density matrix of the system, other thermodynamic properties of the system such as Helmholtz free energy and entropy can be determined. Computation of the density matrix of a one-dimensional single-particle quantum system using the discretized path integral(DPI) method is presented. The results of the DPI method were validated using the finite difference time domain (FDTD) method for a particle in an infinite square well and harmonic oscillator potentials. The results of density matrix, Helmholtz’s free energy and entropy have shown that the DPI method produces correct numerical values compared to the FDTD results. Then, the DPI method is used in the double-well potential by giving variations in barrier potential and temperature of the system. The results show that the particle will be tunneling when the barrier potential energy is more than the kinetic energy of the particle. The particle also can tunnel easily if the system has the higher temperature.

Jurnal Teori dan Aplikasi FisikaFeb 20, 20230 citations

Abstract

Related papers

Abstract

Related papers