One-Dimensional Harmonic Oscillator in Quantum Phase Space

Abstract:

Within the framework of the quantum phase space representation established by Torres-Vega and Frederick, we solve the rigorous solutions of the stationary Schrödinger equations for the one-dimensional harmonic oscillator by means of the quantum wave-mechanics method. The result shows that the wave mechanics and the matrix mechanics are equivalent in phase space, just as in position or momentum space.

• Periodical: Applied Mechanics and Materials (Volumes 110-116)
• Pages: 3750-3754
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.110-116.3750
• Online since: October 2011
• Authors: Jun Lu, Xue Mei Wang, Ping Wu
• Keywords: Harmonic Oscillator, Quantum Phase Space, Rigorous Solution, Wave Mechanics

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