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电场中二维带电谐振子在非对易空间的Wigner函数 被引量：1

Wigner Function of Two-dimensional Charged Harmonic Oscillator in Non-commutative Space
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摘要 该文把谐振子模型放在非对易空间,在有外加电场的情况下,研究二维带电谐振子在电场中的Wigner函数.而量子谐振子是许多复杂模型的基础,它的Wigner函数积分后能写成简单的形式,可用来讨论许多实际问题. This paper has placed the harmonic oscillator is placed model in the non-commutative space, and researched on the Wigner function of the two-dimensional charged harmonic oscillator. The quantum harmonic oscillator is the basis model of many complex ones, it can be expressed by a simple form and can be used to solve many related problems.
作者 车宇 李康
机构地区 杭州师范大学理学院
出处 《杭州师范大学学报（自然科学版）》 CAS 2010年第5期344-349,共6页 Journal of Hangzhou Normal University(Natural Science Edition)
关键词 非对易空间 WIGNER函数 带电谐振子 non-commutative space Wigner function charged harmonic oscillator
分类号 O413.1 [理学—理论物理]
  • 相关文献

参考文献8

  • 1Snyder H S.Quantized space time[J].Phys Rev,1947,71:38.
  • 2Snyder H S.The electromagnetic field in quantized space-time[J].Phys Rev,1947,72:68.
  • 3Seiberg N,Witten E.String theory and non-commutative geometry[J/OL].High Energy Physics-Therom(1999-11-03)[2010-01-12].http://arxiv.org/abs/hep-th/9908142.
  • 4Wigner E.On the quantum correction for thermodynamic equilibrium[J].Phys Rev,1932,40:749-759.
  • 5车宇,李康.非对易相空间下电场中二维带电谐振子的Wigner函数[J].杭州师范大学学报（自然科学版）,2010,9(1):43-47. 被引量：1
  • 6Chaichian M,Sheikh-Jabbari M M,Tureanu A.Hydrogen atom spectrum and the lamb shift in noncommutative QED[J].Phys Rev Lett,2001,86(13):2716-2719.
  • 7Wang Jianhua,Li Kang,Dulat Sayipiamal.Wigner functions for harmonic oscillator in non-commutative phase space[J/OL].High Energy Physics-Therom(2009-08-12)[2010-01-12].http://arxiv.org/abs/hep-th/0908.1703.
  • 8Wang Jianhua,Li Kang,Dulat Sayipiamal,et al.Wigner functions for Klein-Gordon oscillators in non-commutative space[J/OL].High Energy Physics-Therom(2009-08-12)[2010-01-12].http://arxiv.org/abs/hep-th/0908.1703.

二级参考文献11

  • 1Snyder H S. Quantized space time[J]. Phys Rev,1947,71:38-41.
  • 2Snyder H S. The Electromagnetic field in quantized space time[J]. Phys Rev, 1947,72:68-71.
  • 3Seiberg N, Witten E. String theory and non-commutative geometry[J/OL]. High Energy Physics-Theory(1999-11-30)[2009-10-12]. http://arxiv. org/abs/hep-th/9908142.
  • 4Li Kang, Dulat S. The Aharonov-Bohm effect in non-commutative quantum mechanics[J]. Eur Phys J C,2006,46(3):825-828.
  • 5Li Kang, Wang Jianhua. The topological AC effect on non-commutative phase space[J]. Eur Phys J C,2007,50(4):1007-1011.
  • 6Dulat S, Li Kang. Quantum hall effect in non-commutative quantum mechanics[J]. Eur Phys J C,2009,60(1):163-168.
  • 7Wigner E. On the quantum correction for thermodynamic equilibrium[J]. Phys Rev,1932,40:749-759.
  • 8曾谨言.量子力学[M].4版.北京:科学出版社,2007:8184.
  • 9Li Kang, Wang Jianhua, Dulat S, et al. Wigner functions for Klein-Gordon oscillators in non-commutative space[J]. International Journal of Theoretical Physics, 2010,49 ( 1 ) : 134-143.
  • 10Wang Jianhua, Li Kang, Dulat S. Wigner functions for harmonic oscillator in non-commutative phase space[J/OL]. High Energy Physics-Theory(2009-08-12)[2009-10-12]. http://arxiv. org/abs/0908. 1703.

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引证文献1

杭州师范大学学报（自然科学版）
2010年 第5期

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