Indonesian Journal of Physics (IJP)
Vol 21 No 2 (2010): Vol. 21 No. 2, April 2010

Path Integral and Space-Time Transformations for Time-Dependent Hamiltonian Systems

Surarit Pepore (Department of Physics, Faculty of Science, Rajamangala University of Technology Thanyaburi, Thailand)
Bodinchat Sukbot (Department of Physics, Faculty of Science, Rajamangala University of Technology Thanyaburi, Thailand)

Article Info

Publish Date
03 Nov 2016

Abstract

The exact solutions for the time-dependent Hamiltonian systems is studied by the Feynman path integral method. The quantum mechanical propagator of a harmonic oscillator with strongly pulsating mass is calculated by the Pauli-Van Vleck formula while the wave functions is derived from the spectral representation of the obtained propagator. We demonstrate that the use of a space-time transformation can simplify the evaluation of the propagator for a time-dependent linear potential. We also show that such a propagator can be obtained from the free-particle propagator in the new space-time coordinate system.

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Journal Info
Indonesian Journal of Physics (IJP)
Website

Abbrev

ijp

Publisher

Institut Teknologi Bandung

Subject

Astronomy Computer Science & IT Earth & Planetary Sciences Electrical & Electronics Engineering Energy Engineering

Description

Indonesian Journal of Physics welcomes full research articles in the area of Sciences and Engineering from the following subject areas: Physics, Mathematics, Astronomy, Mechanical Engineering, Civil and Structural Engineering, Chemical Engineering, Electrical Engineering, Geotechnical Engineering, ...