Quantum mechanics in the gaussian wave-packet phase space representation III: From phase space probability functions to wave-functions

1988 ◽  
Vol 150 (3) ◽  
pp. 541-554 ◽  
Author(s):  
S.S. Mizrahi
Keyword(s):  
Quantum Mechanics ◽  
Phase Space ◽  
Wave Packet ◽  
Wave Functions ◽  
Gaussian Wave Packet ◽  
Space Representation ◽  
Probability Functions ◽  
Phase Space Representation

Phase-Space Wave Functions of Harmonic Oscillator in Nanomaterials

2011 ◽  
Vol 233-235 ◽  
pp. 2154-2157
Author(s):  
Jun Lu
Keyword(s):  
Wave Function ◽  
Phase Space ◽  
Harmonic Oscillator ◽  
Wave Functions ◽  
Quantum Phase ◽  
Space Representation ◽  
Schrodinger Equations ◽  
Schrödinger Equations ◽  
Phase Space Representation ◽  
Space Wave

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.

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