Qualities of Wigner Function and Its Applications to Onedimensional Infinite Potential Well and Onedimensional Harmonic Oscillator
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Graphical Abstract
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Abstract
In this article， the qualities of Wigner function and the corresponding stationary perturbation theory are introduced and applied to one dimensional infinite potential well and onedimensional harmonic oscillator， and then the particular Wigner function of onedimensional infinite potential well is specified and a special constriction effect in its pure state Wigner function is discovered， to which， simultaneously， a detailed and reasonable explanation is elaborated from the perspective of uncertainty principle. Ultimately， the amendment of Wigner function and energy of onedimensional infinite potential well and one dimensional harmonic oscillator under perturbation are calculated according to stationary phase space perturbation theory.
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