Energy Splitting of Isotropic Harmonic Oscillator in Noncommutative Phase Space

  • Space coordinates may become noncommutative near the string scale. In this paper, we give a representation of the noncommutative coordinates and noncommutative momenta. We then apply this representation to compute the eigen energy splitting of the isotropic harmonic oscillator in two and three dimensional noncommutative spaces.
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  • [1] . LI Kang, WANG Jian-Hua, CHEN Chi-Yi. Representationof Noncommutative Phase Space. Modern Physics Letter,2005, A20(34)( to appear). hep-th/04092342. Connes A, Douglas M R, Schwarz A. JHEP, 1998, 9802:003. hep-th/97111623. Douglas M R, Hull C M. JHEP, 1998, 9802: 008. hep-th/97111654. Ardalan F, Arfaei H, Sheikh-Jabbari M M. JHEP, 1999,9902: 016. hep-th/98100725. CHU S C, HO P M. Nucl. Phys., 1999, B550: 151. hep-th/98122196. CHU S C, HO P M. Nucl. Phys., 2000, B568: 447. hep-th/99061927. Schomerus V. JHEP, 1999, 9906: 030. hep-th/99032058. Banerjee R, Lee C, YANG H S. Seiberg-witten-type Mapsfor Currents and Energy-Momentum Tensors in Noncom-muative Gauge Theories. hep-th/03121039. ZHANG Jian-Zu. Phys. Lett., 2004, B584: 20410. Chaichian M, Sheikh-Jabbari M M, Tureanu A. Phys. Rev.Lett., 2001, 86: 2716. hep-th/001017511. Gamboa J, Loewe M, Rojas J C. Phys. Rev., 2001, D64:067901. hep-th/001022012. Gamboa J et al. Int. J. Mod. Phys., 1999, A17: 2555. hep-th/010612513. Muthukumar B, Mitra P. Phys. Rev., 2002, D66: 027701.hep-ph/020414914. Nair V P, Polychronakos A P. Phys. Lett., 2001, B505:267. hep-th/001117215. Kochan D, Demetrian M. hep-th/010205016. Morariu B, Polychronakos A P. Nucl. Phys., 2001, B610:531. hep-th/010215717. Hatzinikitas A, Smyrnakis I. J. Math. Phys., 2002, 43: 113.hep-th/010307418. Bellucci S, Neressian A, Sochichiu C. Phys. Lett., 2001,B522: 345. hep-th/010613819. Smailagic A, Spallucci E. Phys. Rev., 2002, D65: 107701.hep-th/010821620. Christiansen H R, Schaposnik F A. Phys. Rev., 2002, D65:08600. hep-th/010618121. Acatrinei C. JHEP, 2001, 0109: 007. hep-th/010707822. HO P M, KAO H C. Phys. Rev. Lett., 2002, 88: 151602.hep-th/011019123. Alvarez-Gaume L, Wadia S R. Phys. Lett., 2001, B501:319. hep-th/000621924. Micu A, Sheikh-Jabbari M M. JHEP, 2001, 0101: 025.hep-th/000805725. Riad I F, Sheikh-Jabbari M M. JHEP, 2000, 0008: 045.hep-th/000813226. Douglas M R, Nekrasov N A. Rev. Mod. Phys., 2001, 73:977. hep-th/0106048
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WANG Jian-Hua, LI Kang and LIU Peng. Energy Splitting of Isotropic Harmonic Oscillator in Noncommutative Phase Space[J]. Chinese Physics C, 2006, 30(5): 387-391.
WANG Jian-Hua, LI Kang and LIU Peng. Energy Splitting of Isotropic Harmonic Oscillator in Noncommutative Phase Space[J]. Chinese Physics C, 2006, 30(5): 387-391. shu
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Received: 2005-07-20
Revised: 1900-01-01
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Energy Splitting of Isotropic Harmonic Oscillator in Noncommutative Phase Space

    Corresponding author: LI Kang,
  • Shaanxi College of Science and Engineer, Hanzhong 723000, China2 Hangzhou Teacher's College, Hangzhou 310036, China

Abstract: Space coordinates may become noncommutative near the string scale. In this paper, we give a representation of the noncommutative coordinates and noncommutative momenta. We then apply this representation to compute the eigen energy splitting of the isotropic harmonic oscillator in two and three dimensional noncommutative spaces.

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