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Bodinchat Sukbot
Department of Physics, Faculty of Science, Rajamangala University of Technology Thanyaburi, Thailand
Astronomy Computer Science & IT Earth & Planetary Sciences Electrical & Electronics Engineering Energy Engineering

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Path Integral and Space-Time Transformations for Time-Dependent Hamiltonian Systems Surarit Pepore; Bodinchat Sukbot
Indonesian Journal of Physics Vol 21 No 2 (2010): Vol. 21 No. 2, April 2010
Publisher : Institut Teknologi Bandung

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (75.669 KB) | DOI: 10.5614/itb.ijp.2010.21.2.3

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.
Co-Authors Surarit Pepore