Klein-Gordon oscillators in noncommutative phase space

WANG Jian-Hua; LI Kang; Dulat Sayipjamal

doi:10.1088/1674-1137/32/10/007

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2024年10月30日

Chinese Physics C> 2008, Vol. 32> Issue(10) : 803-806 DOI: 10.1088/1674-1137/32/10/007

Klein-Gordon oscillators in noncommutative phase space

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Abstract：
We study the Klein-Gordon oscillators in non-commutative (NC) phase space. We find that the Klein-Gordon oscillators in NC space and NC phase-space have a similar behaviour to the dynamics of a particle in commutative space moving in a uniform magnetic field. By solving the Klein-Gordon equation in NC phase space, we obtain the energy levels of the Klein-Gordon oscillators, where the additional terms related to the space-space and momentum-momentum non-commutativity are given explicitly.

References

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. Chaichian M, Sheikh-Jabbari M M, Tureanu A. Phys. Rev.Lett., 2001, 86: 2716; Chaichian M, Demichev A, Presna-jder P, Sheikh-Jabbari M M, Tureanu A. Nucl. Phys. B,2001, 611: 3832. Chaichian M, Presnajder P, Sheikh-Jabbari M M, Tureanu A. Phys. Lett. B, 2002, 527: 149; Falomir H, Gamboa J,Loewe M, Mendez F, Rojas J C. Phys. Rev. D, 2002, 66:045018; Dayi O F, Jellal A. J. Math. Phys., 2002, 43: 45923. LI K, Dulat S. Eur. Phys. J. C, 2006, 46: 8254. Mirza B, Zarei M. Eur. Phys. J. C, 2004, 32: 5835. LI K, WANG J H. Eur. Phys. J. C, 2007, 50: 10076. LI K, CAO X H, WANG D Y. Chinese Physics, 2006,15(10): 22367. Mirza B, Narimani R, Zarei M. Eur. Phys. J. C, 2006, 48:6418. Dulat S, LI K. submitted to Eur. Phys. J. C, 20079. Gamboa J, Loewe M, Mendez F, Rojas J C. Mod. Phys.Lett. A, 2001, 16: 2075; Phys. Rev. D, 64: 06790110. Belluchi S. Phys. Lett. B, 2001, 522: 34511. Muthukumar B, Mitra P. Phys. Rev. D, 2002, 66: 02770112. Dulat S, LI K. Chin. Phys. C (HEP NP), 2008, 32: 9213. Mirza B, Mohadesi M. Commun. Theor. Phys., 2004, 42:66414. WANG J H, LI K. J. Phys. A, 2007, 40: 219715. LI K, WANG J H, CHEN C Y. Mod. Phys. Lett. A, 2005,20: 2165

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WANG Jian-Hua, LI Kang, Dulat Sayipjamal and Klein-Gordon oscillators in noncommutative phase space[J]. Chinese Physics C, 2008, 32(10): 803-806. doi: 10.1088/1674-1137/32/10/007

WANG Jian-Hua, LI Kang, Dulat Sayipjamal and Klein-Gordon oscillators in noncommutative phase space[J]. Chinese Physics C, 2008, 32(10): 803-806. doi: 10.1088/1674-1137/32/10/007 shu

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Received: 2007-12-24
Revised: 2008-04-07

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沈阳化工大学材料科学与工程学院沈阳 110142

Klein-Gordon oscillators in noncommutative phase space

Corresponding author: WANG Jian-Hua,

Received Date: 2007-12-24
Accepted Date: 2008-04-07
Available Online: 2008-10-05

Abstract:

We study the Klein-Gordon oscillators in non-commutative (NC) phase space. We find that the Klein-Gordon oscillators in NC space and NC phase-space have a similar behaviour to the dynamics of a particle in commutative space moving in a uniform magnetic field. By solving the Klein-Gordon equation in NC phase space, we obtain the energy levels of the Klein-Gordon oscillators, where the additional terms related to the space-space and momentum-momentum non-commutativity are given explicitly.