Quantum Mechanical Path Integral in Phase Space and Class of Harmonic Oscillators with Varied Frequencies - Journal of Modern Physics

JMP > Vol.7 No.4, February 2016

Quantum Mechanical Path Integral in Phase Space and Class of Harmonic Oscillators with Varied Frequencies ()

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Download as PDF (Size: 233KB) PP. 359-364

DOI: 10.4236/jmp.2016.74036 4,735 Downloads 5,752 Views Citations

Author(s)

B. Berrabah^*

Affiliation(s)

Laboratoire de Physique Mathmatique et Subatomique (LPMPS), Constantine 1 University, Constantine, Algeria.

ABSTRACT

We present the problem of the time-dependent Harmonic oscillator with time-dependent mass and frequency in phase space and by using a canonical transformation and delta functional integration we could find the propagator related to the system. New examples of time-dependent frequencies are presented.

KEYWORDS

Phase Space, Canonical Transformations, Propagator, Time-Dependent Harmonic Oscillator

Share and Cite:

Berrabah, B. (2016) Quantum Mechanical Path Integral in Phase Space and Class of Harmonic Oscillators with Varied Frequencies. Journal of Modern Physics, 7, 359-364. doi: 10.4236/jmp.2016.74036.

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