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
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
关键词 ：
03.65.-w
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.
Key words ：
03.65.-w
出版日期: 2001-03-01
引用本文:
FAN Hong-Yi;FAN Yue. Angular Momentum-Phase Coherent State for an Electron in Uniform Magnetic Field[J]. 中国物理快报, 2001, 18(3): 319-321.
链接本文:
https://cpl.iphy.ac.cn/CN/
或
https://cpl.iphy.ac.cn/CN/Y2001/V18/I3/319
[1]
WANG Jian-Hua; LI Kang;. He--McKellar--Wilkens Effect in Noncommutative Space
[2]
WANG An-Min;ZHU Ren-Gui. Energy Spectrum Symmetry of Heisenberg Model in Fock Space
[3]
BIAN Xue-Bin;QIAO Hao-Xue;SHI Ting-Yun. B-Spline with Symplectic Algorithm Method for Solution of Time-Dependent Schrödinger Equations
[4]
HAN Lian-Fang;LIU Yi-Min;ZHANG Zhan-Jun;. Multiparty Quantum Secret Sharing of Classical Message using Cavity Quantum Electrodynamic System
[5]
Salvatore De Vincenzo. SUSY QM in a One-Dimensional Box and Local Observable Quantities
[6]
TIAN Li-Jun;YANG Guo-Hong;ZHANG Hong-Biao;HOU Jing-Min. Reduced Properties and Applications of Y(sl(2)) Algebra for a Two-Spin System
[7]
DONG Dao-Yi;CHEN Chun-Lin;CHEN Zong-Hai;ZHANG Chen-Bin. Quantum Mechanics Helps in Learning for More Intelligent Robots
[8]
ZHANG Zheng-Jie;WANG Ke-Lin;. Discussion on Maximally Entangled States of Two Coupled Two-Level Particles by Coherent State Approximation
[9]
LI Kang;CHAMOUN Nidal;. Hydrogen Atom Spectrum in Noncommutative Phase Space
[10]
LI Hong-Qi;XU Xing-Lei;WANG Ji-Suo. Quantum Fluctuations of Current and Voltage for Mesoscopic Quartz Piezoelectric Crystal at Finite Temperature
[11]
S. A. Alavi. General Noncommuting Curvilinear Coordinates and Fluid Mechanics
[12]
PANG Qian-Jun. Properties and Application of Intermediate Entangled State Representation
[13]
GAO Ying-Fang;ZHANG Yong-Ping. Effect of Connected Multi-Ring Impurity Scattering on Quantum Transport
[14]
ZHANG Min-Cang;WANG Zhen-Bang. Exact Solutions of the Klein--Gordon Equation with a New Anharmonic Oscillator Potential
[15]
TIAN Li-Jun;JIN Shuo;ZHANG Hong-Biao;XUE Kang. A Realization and Truncation of Yangian Algebra in the Generalized Hydrogen Atom with a U(1) Monopole
2001, Vol. 18 
