SOME APPLICATIONS OF COHERENT STATE FORMULATION OF THE WIGNER OPERATOR

FAN Hong-Yi; RUAN Tu-Nan

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2024年10月30日

Chinese Physics C> 1985, Vol. 9> Issue(1) : 19-33

SOME APPLICATIONS OF COHERENT STATE FORMULATION OF THE WIGNER OPERATOR

FAN Hong-Yi ^, ,
RUAN Tu-Nan

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Abstract：
In this paper both the normal product form and the coherent state form of the Wigner operator are derived. Furthermore, the applications of the new forms of the Wigner operator are also presented, which are involved in deriving some new quantum operator formulas, in the coherent state generalization of the Moyal theorem, and in evaluating some quantum operators which corresponds to the given classical functions in the Weyl manner and vice versa.

References

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McCoy, N. H., Proc. Nati Acad. Sci., 18(1932), 674.[2] Weyl, H., Z. Physik, 46( 1927), 1. Weyl, H., The Theory of Groups and Quantum Mechanics (Dover Publications, New Yotk, 1950)[3] Wigner, E. P., Phys. Rev., 40(1932), 749. O'Connel, R. F. and Wignet, E. P., Phys. Lett., 83A(1981), 145.[4] Moyal, J. E., Proc. Cambridge Phys., 19(1949), 99.[5] Glauber, R. G., Phys. Rev., 131(1963), 2766.[6] Louisell, W. H., Quantum Statistical Properties of Radiation, John Wiley (1973) 156. [7] Miuahi, M. M., Jour. Math. Phys., 16(1975), 2201. [8] Moyal, J., E. el, Proc. Camb. Phil. Soc., 45 (1949), 545. [9] Tarō Kashiwa, Prog. Theor. Phys., 64, No. 6, (1980), 2164.

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FAN Hong-Yi and RUAN Tu-Nan. SOME APPLICATIONS OF COHERENT STATE FORMULATION OF THE WIGNER OPERATOR[J]. Chinese Physics C, 1985, 9(1): 19-33.

FAN Hong-Yi and RUAN Tu-Nan. SOME APPLICATIONS OF COHERENT STATE FORMULATION OF THE WIGNER OPERATOR[J]. Chinese Physics C, 1985, 9(1): 19-33. shu

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Received: 1900-01-01
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

SOME APPLICATIONS OF COHERENT STATE FORMULATION OF THE WIGNER OPERATOR

FAN Hong-Yi ^,
RUAN Tu-Nan

Corresponding author: FAN Hong-Yi,

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1985-02-05

Abstract: In this paper both the normal product form and the coherent state form of the Wigner operator are derived. Furthermore, the applications of the new forms of the Wigner operator are also presented, which are involved in deriving some new quantum operator formulas, in the coherent state generalization of the Moyal theorem, and in evaluating some quantum operators which corresponds to the given classical functions in the Weyl manner and vice versa.