Geometric Phase in Path Integral and Quantisation Rule

Chin. Phys. Lett.

1999, Vol. 16

Issue (4): 241-243 DOI:

Original Articles

Geometric Phase in Path Integral and Quantisation Rule

WANG Zheng-chuan;LI Bo-zang

Institute of Physics and Center for Condensed Matter Physics, Chinese Academy of Sciences, Beijing 100080

Cite this article:

WANG Zheng-chuan, LI Bo-zang 1999 Chin. Phys. Lett. 16 241-243

Download: PDF(212KB)
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks

Abstract A description of geometric phase in terms of path integral formalism is presented. It is proved that this adiabatic phase can appear in the propagator or Green function of an adiabatic system. In the semiclassical approximation, following the Green function expression of the electronic density of states, the corresponding generalized Bohr-Sommerfeld quantisation rule can thus be obtained. It is shown that this rule has been corrected by the geometric phase.

Keywords: 03.65.Bz 03.65.Sq

Published: 01 April 1999

PACS:	03.65.Bz
	03.65.Sq	(Semiclassical theories and applications)

TRENDMD:

URL:

https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y1999/V16/I4/0241

Service
	E-mail this article
	E-mail Alert
	RSS
Articles by authors
	WANG Zheng-chuan
	LI Bo-zang

Related articles from Frontiers Journals

[1]	WANG De-Hua. Corrigendum: “Extracting Closed Classical Orbits from Quantum Recurrence Spectra of a Non-Hydrogenic Atom in Parallel Electric and Magnetic Fields”[J]. Chin. Phys. Lett., 2010, 27(8): 241-243
[2]	CUI Bo, WU Song-Lin, YI Xue-Xi. Mean-Field Dynamics of a Two-Mode Bose-Einstein Condensate Subject to Decoherence[J]. Chin. Phys. Lett., 2010, 27(7): 241-243
[3]	ZHAN You-Bang, ZHANG Qun-Yong, WANG Yu-Wu, MA Peng-Cheng. Schemes for Teleportation of an Unknown Single-Qubit Quantum State by Using an Arbitrary High-Dimensional Entangled State[J]. Chin. Phys. Lett., 2010, 27(1): 241-243
[4]	XU Xu, ZHOU Xiao-Ji. Phase-Dependent Effects in Stern-Gerlach Experiments[J]. Chin. Phys. Lett., 2010, 27(1): 241-243
[5]	MA Shan-Jun. Optical Four-Wave Mixing Operator, Fresnel Operators and Three-Mode Entangled State Representation[J]. Chin. Phys. Lett., 2009, 26(6): 241-243
[6]	ZHONG Hong-Wei, XU Hai-Qing, HUANG Ping-Hua. Time-Dependent Variational Approach to Ground-State Phase Transition and Phonon Dispersion Relation of the Quantum Double-Well Model[J]. Chin. Phys. Lett., 2008, 25(8): 241-243
[7]	ZHANG Qin-Lei, YANG Guang-Can. Experimental Investigation of Energy Level Dynamics in luminium Blocks with Temperature Distribution[J]. Chin. Phys. Lett., 2008, 25(8): 241-243
[8]	XU Xue-You, ZHANG Yan-Hui, LI Hong-Yun, GAO Song, LIN Sheng-Lu. Semiclassical Calculation of Conductance Transmission through an Open Equilateral Triangular Billiards[J]. Chin. Phys. Lett., 2008, 25(5): 241-243
[9]	WANG De-Hua. Photodetachment of HF^- in an Electric Field[J]. Chin. Phys. Lett., 2008, 25(3): 241-243
[10]	LIN Sheng-Lu, ZHOU Hui, XU Xue-You, JIA Zheng-Mao, DENG Shan-Hong. Semiclassical Calculations of Autoionization Rate for Lithium Atoms in Parallel Electric and Magnetic Fields[J]. Chin. Phys. Lett., 2008, 25(12): 241-243
[11]	SHAO Dan, SHAO Liang, SHAO Chang-Gui, NODA Huzio. Entanglement of Area Quantums in Quantized Space[J]. Chin. Phys. Lett., 2008, 25(1): 241-243
[12]	WANG De-Hua. Photodetachment of H^- near Elastic Surface in Parallel Electric and Magnetic Fields[J]. Chin. Phys. Lett., 2007, 24(7): 241-243
[13]	LU Dao-Ming, ZHENG Shi-Biao. Establishment of Entanglement for Two Atoms Trapped in Two Distant Bad Cavities[J]. Chin. Phys. Lett., 2007, 24(3): 241-243
[14]	WANG De-Hua. Photodetachment of a Negative Hydrogen Molecular Ion near an Interface[J]. Chin. Phys. Lett., 2007, 24(2): 241-243
[15]	JI Hua, ZHAN Xiao-Gui, ZENG Hao-Sheng. Controlled Teleportation of Multi-Qudit Quantum Information[J]. Chin. Phys. Lett., 2007, 24(10): 241-243

Viewed

Full text

Abstract