论文信息 - Quantization on and coherent states over

Quantization on and coherent states over

Finite-dimensional quantum mechanics (quantum mechanics on finite discrete space - the cyclic group of order M) is developed further: in analogy with the usual harmonic oscillator coherent states, an overcomplete family of coherent states over the phase space is constructed and their properties are determined.

J. Tolar | G. Chadzitaskos

[1] A. Vourdas. The angle-angular momentum quantum phase space , 1996 .

[2] A. Abul-Magd. Nearest-neighbour spacing distribution of energy levels in the region between integrability and chaos , 1996 .

[3] A. Vourdas. Coherent states on the m-sheeted complex plane as m-photon states , 1994 .

[4] J. Tolar,et al. Feynman path integral and ordering rules on discrete finite space , 1993 .

[5] S. Barnett,et al. Unitary Phase Operator in Quantum Mechanics , 1988 .

[6] W. Wootters. A Wigner-function formulation of finite-state quantum mechanics , 1987 .

[7] A. Perelomov. Generalized Coherent States and Their Applications , 1986 .

[8] J. Tolar,et al. Quantum mechanics in a discrete space-time , 1984 .

[9] V. Naroditsky,et al. Finite-dimensional quantum mechanics , 1981 .

[10] A. Perelomov. Coherent states for arbitrary Lie group , 1972 .

[11] J. Schwinger. Quantum Kinematics And Dynamics , 1970 .