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Article Navigation >  Nuclear Physics Review  > 2010  >  27(2): 155-159

CHEN De-sheng, WANG Ya-hui#, WANG Yao, MA Kai. Solution of Wigner Function’s Star product for 3-D Harmonic Oscillator[J]. Nuclear Physics Review, 2010, 27(2): 155-159. doi: 10.11804/NuclPhysRev.27.02.155
Citation: CHEN De-sheng, WANG Ya-hui#, WANG Yao, MA Kai. Solution of Wigner Function’s Star product for 3-D Harmonic Oscillator[J]. Nuclear Physics Review, 2010, 27(2): 155-159. doi: 10.11804/NuclPhysRev.27.02.155
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Solution of Wigner Function’s Star product for 3-D Harmonic Oscillator

doi: 10.11804/NuclPhysRev.27.02.155

  • Department of Physics, Shaanxi University of Technology, Hanzhong 723001, Shaanxi, China

  • Received Date: 1900-01-01
  • Rev Recd Date: 1900-01-01
  • Publish Date: 2010-06-20
  • As a quasiprobability distribution function in phasespace and a special representation of the density matrix, Wigner function has great significance in physics. In this paper, first, Wigner function’s characteristic and calculation approach are introduced. Then, with Stareigen equation we obtain the Wigner function for threedimensional harmonic oscillator. In the end, we discuss the method describing the interaction between phonons and electrons (or photons) and obtain the equation that transition probability satisfies in phase space.
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Solution of Wigner Function’s Star product for 3-D Harmonic Oscillator

doi: 10.11804/NuclPhysRev.27.02.155
  • Department of Physics, Shaanxi University of Technology, Hanzhong 723001, Shaanxi, China
  • Received Date: 1900-01-01
  • Rev Recd Date: 1900-01-01
  • Publish Date: 2010-06-20

Abstract: As a quasiprobability distribution function in phasespace and a special representation of the density matrix, Wigner function has great significance in physics. In this paper, first, Wigner function’s characteristic and calculation approach are introduced. Then, with Stareigen equation we obtain the Wigner function for threedimensional harmonic oscillator. In the end, we discuss the method describing the interaction between phonons and electrons (or photons) and obtain the equation that transition probability satisfies in phase space.

CHEN De-sheng, WANG Ya-hui#, WANG Yao, MA Kai. Solution of Wigner Function’s Star product for 3-D Harmonic Oscillator[J]. Nuclear Physics Review, 2010, 27(2): 155-159. doi: 10.11804/NuclPhysRev.27.02.155
Citation: CHEN De-sheng, WANG Ya-hui#, WANG Yao, MA Kai. Solution of Wigner Function’s Star product for 3-D Harmonic Oscillator[J]. Nuclear Physics Review, 2010, 27(2): 155-159. doi: 10.11804/NuclPhysRev.27.02.155
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