Angular Momentum-Phase Coherent State for an Electron in Uniform Magnetic Field

Chin. Phys. Lett.

2001, Vol. 18

Issue (3): 319-321 DOI:

Original Articles

Angular Momentum-Phase Coherent State for an Electron in Uniform Magnetic Field

FAN Hong-Yi;FAN Yue

Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026

Cite this article:

FAN Hong-Yi, FAN Yue 2001 Chin. Phys. Lett. 18 319-321

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Abstract Based on the newly constructed state |l,r>> [FAN et al., Chin. Phys. Lett. 16(1999)706], where l is the angular mometum quantum number and r denotes the electron's orbit radius in a uniform magnetic field, we propose a new angular momentum-phase coherent state by introducing a new operator A. A and A^† are annihilation and creation operator in the |l,r>> space, respectively. The coherent state is A's eigenket and possesses non-orthonormal and overcomplete properties, it is constructed on the certain superposition of zero-angular momentum states along the radius direction.

Keywords: 03.65.-w

Published: 01 March 2001

PACS:

03.65.-w

(Quantum mechanics)

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https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y2001/V18/I3/0319

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