Spin path integral and quantum mechanics in the rotating frame of reference

CHEN Tong; WU Ning; YU Yue

doi:10.1088/1674-1137/35/2/006

Chinese Physics C> 2011, Vol. 35> Issue(2) : 139-143 DOI: 10.1088/1674-1137/35/2/006

Spin path integral and quantum mechanics in the rotating frame of reference

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We have developed a path integral formalism of the quantum mechanics in the rotating frame of reference, and proposed a path integral description of spin degrees of freedom, which is connected to the Schwinger bosons realization of the angular momenta. We have also given several important examples for the applications in the rotating frames.

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[1]

Brune M, Schmidt-Kaler F, Maali A, Dreyer J, Hagley E, Raimond J M, Haroche S. Phys. Rev. Lett., 1996, 76: 1800-18032 Martinis J M, Nam S, Aumentado J, Urbina C. Phys. Rev. Lett., 2002, 89: 1179013 LI Xiao-Qin, WU Yan-Wen, Steel D, Gammon D, Stievater T H, Katzer D S, Park D, Piermarocchi C, Sham L J. Science, 2003, 301: 809-8114 Johansson J, Saito S, Meno T, Nakano H, Ueda M, Semba K, Takayanagi H. Phys. Rev. Lett., 2006, 96: 1270065 Bliokh K Y, Gorodetski Y, Kleiner V, Hasman E. Phys. Rev. Lett., 2008, 101: 0304046 Sagnac G. C. R. Acad. Sci. (Paris), 1913, 157: 708-710; ibid., 1913, 157: 1410-14137 Bonse U, Hart M. Appl. Phys. Lett., 1965, 6: 1558 Riehle F, Kisters T, Witte A, Helmcke J, Bordé C J. Phys. Rev. Lett., 1991, 67: 177-1809 Rauch H, Treimer W, Bonse U. Phys. Lett. A, 1974, 47: 42510 Page L R. Phys. Rev. Lett., 1975, 35: 543-54311 Anandan J. Phys. Rev. D, 1977, 15: 1448-145712 Stodolsky L. General Relativity and Gravitation, 1979, 11: 391-40513 Werner S A, Staudenmann J L, Colella R. Phys. Rev. Lett., 1979, 42: 1103-110614 Mashhoon B. Phys. Rev. Lett., 1988, 61: 2639-264215 Mashhoon B, Neutze R, Hannam M, Stedman G E. 1998, arXiv: gr-qc/980807716 Rabi I I, Ramsey N F, Schwinger J. Rev. Mod. Phys., 1954, 26: 167-17117 WEN Xiao-Gang. Quantum Field Theory of Many-Body Systems-from the Origin of Sound to an Origin of Light and Electrons. USA: Oxford University Press, 200418 Landau L D, Lifshitz E M. Quantum Mechanics: Non-Relativistic Theory, Vol. 3. 3rd edition. UK: Butterworth-Heinemann, 197719 Schwinger J. Quantum Mechanics: Symbolism of Atomic Measurement. New York: Springer, 2001

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CHEN Tong, WU Ning and YU Yue. Spin path integral and quantum mechanics in the rotating frame of reference[J]. Chinese Physics C, 2011, 35(2): 139-143. doi: 10.1088/1674-1137/35/2/006

CHEN Tong, WU Ning and YU Yue. Spin path integral and quantum mechanics in the rotating frame of reference[J]. Chinese Physics C, 2011, 35(2): 139-143. doi: 10.1088/1674-1137/35/2/006 shu

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Received: 2010-05-03
Revised: 2010-06-24

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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

Spin path integral and quantum mechanics in the rotating frame of reference

Received Date: 2010-05-03

Accepted Date: 2010-06-24

Available Online: 2011-02-05

Abstract: We have developed a path integral formalism of the quantum mechanics in the rotating frame of reference, and proposed a path integral description of spin degrees of freedom, which is connected to the Schwinger bosons realization of the angular momenta. We have also given several important examples for the applications in the rotating frames.

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Spin path integral and quantum mechanics in the rotating frame of reference

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通讯作者: 陈斌, bchen63@163.com

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