Qualities  of  Wigner  Function  and  Its  Applications  to Onedimensional Infinite  Potential  Well  and  Onedimensional  Harmonic Oscillator

XU  Hao; SHI  Tian-jun

doi:10.11804/NuclPhysRev.28.01.044

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Article Navigation > Nuclear Physics Review > 2011 > 28(1): 44-50

XU Hao, SHI Tian-jun. Qualities of Wigner Function and Its Applications to Onedimensional Infinite Potential Well and Onedimensional Harmonic Oscillator[J]. Nuclear Physics Review, 2011, 28(1): 44-50. doi: 10.11804/NuclPhysRev.28.01.044

Citation:

XU Hao, SHI Tian-jun. Qualities of Wigner Function and Its Applications to Onedimensional Infinite Potential Well and Onedimensional Harmonic Oscillator[J]. Nuclear Physics Review, 2011, 28(1): 44-50. doi: 10.11804/NuclPhysRev.28.01.044

Qualities of Wigner Function and Its Applications to Onedimensional Infinite Potential Well and Onedimensional Harmonic Oscillator

doi: 10.11804/NuclPhysRev.28.01.044

Department of Physics, Northwest University, Xi’an 710069, China

Received Date: 1900-01-01
Rev Recd Date: 1900-01-01
Publish Date: 2011-03-20

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 onedimensional harmonic oscillator， and then the particular Wigner function of onedimensional 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 onedimensional infinite potential well and one dimensional harmonic oscillator under perturbation are calculated according to stationary phase space perturbation theory.
- onedimensional infinite potential well,
- phase space,
- Wigner Function,
- perturbation,
- one dimensional harmonic oscillator
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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

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Qualities of Wigner Function and Its Applications to Onedimensional Infinite Potential Well and Onedimensional Harmonic Oscillator

doi: 10.11804/NuclPhysRev.28.01.044

Department of Physics, Northwest University, Xi’an 710069, China

Received Date: 1900-01-01
Rev Recd Date: 1900-01-01
Publish Date: 2011-03-20

Key words:

onedimensional infinite potential well /
phase space /
Wigner Function /
perturbation /
one dimensional harmonic oscillator

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 onedimensional harmonic oscillator， and then the particular Wigner function of onedimensional 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 onedimensional infinite potential well and one dimensional harmonic oscillator under perturbation are calculated according to stationary phase space perturbation theory.

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