Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-09-05
Physics
High Energy Physics
High Energy Physics - Theory
19 pages, revtex
Scientific paper
Equivalent relations between quantum mechanical systems in the Robertson-Walker (RW) background metric and quantum dynamics with an induced quadratic background potential are derived in this work. Two elementary applications, which include an algebraic derivation of the evolution operator for a simple harmonic oscillator without using any special function or the path integral technique, and a moving soliton solution of a free particle in an oscillating universe, are presented to illustrate the use of these equivalent relations.
Chan Chuan-Tsung
Chua Chun-Khiang
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