Phase-Space Wave Functions of Harmonic Oscillator in Nanomaterials
In this paper, we solve the rigorous solutions of the stationary Schrödinger equations for the harmonic oscillator in nanomaterials within the framework of the quantum phase-space representation established by Torres-Vega and Frederick. We obtain the phase-space eigenfunctions of the harmonic oscillator. We also discuss the character of wave function and the “Fourier-like” projection transformations in phase space.
Zhong Cao, Lixian Sun, Xueqiang Cao, Yinghe He
J. Lu "Phase-Space Wave Functions of Harmonic Oscillator in Nanomaterials", Advanced Materials Research, Vols. 233-235, pp. 2154-2157, 2011