Split Angular Momentum in Noncommutative Phase Space

  • In the very tiny string scale, the effect of noncommutativity of space may appear. In this paper, the expression of angular momentum in Schwinger representation is briefly reviewed first, then the quantum mechanics algebra in noncommutative phase space is discussed, moreover, the angular momentum in noncommutative phase space is represented in terms of creation and annihilation operations of commutative space. At last, the angular momentum splitting effect is discussed in detail.
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  • [1] . LI Kang, WANG Jian-Hua, CHEN Chi-Yi. Representationof Noncommutative Phase Space. Modern Physics Letter, 2005, A20(28). hep-th/04092342. WANG Jian-Hua, LI Kang, LIU Peng. HEP NP, 2006, 30(5): 387-391(in Chinese)(王剑华, 李康, 刘鹏. 高能物理与核物理, 2006, 30(5): 387-391)3. 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/010604827. QIAN Bo-Chu, ZENG Jin-Yan. Fine Selection and Analysison the Problems of Quantum Mechanics. Second Edition.Beijing: Science Press, 1999. 249-251(in Chinese)(钱伯初, 曾谨言. 量子力学习题精选与剖析. 第一版. 北京: 科学出版社, 1999. 249-251)
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WANG Jian-Hua and LI Kang. Split Angular Momentum in Noncommutative Phase Space[J]. Chinese Physics C, 2006, 30(11): 1053-1057.
WANG Jian-Hua and LI Kang. Split Angular Momentum in Noncommutative Phase Space[J]. Chinese Physics C, 2006, 30(11): 1053-1057. shu
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Received: 2006-02-16
Revised: 1900-01-01
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Split Angular Momentum in Noncommutative Phase Space

    Corresponding author: WANG Jian-Hua,
  • Department of Physics, Shaanxi College of Science and Engineer, Hanzhong 723000, China2 Department of Physics, Hangzhou Teacher's College, Hangzhou 310036, China

Abstract: In the very tiny string scale, the effect of noncommutativity of space may appear. In this paper, the expression of angular momentum in Schwinger representation is briefly reviewed first, then the quantum mechanics algebra in noncommutative phase space is discussed, moreover, the angular momentum in noncommutative phase space is represented in terms of creation and annihilation operations of commutative space. At last, the angular momentum splitting effect is discussed in detail.

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