COMMUTATIVE PROPERTIES OF OPERATORS IN SCHWINGER BOSON PEPRESENTATION

FAN Hong-Yi

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1986, Vol. 10> Issue(3) : 380-384

COMMUTATIVE PROPERTIES OF OPERATORS IN SCHWINGER BOSON PEPRESENTATION

FAN Hong-Yi ^,

China University of Science and Technology

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Abstract：
The angular momentum theory in the schwinger boson representation is developed to derive a new normal product expression for the commutator [e^iaJx,e^iβJy] by means of the integral technique within normal product, and the effect on the coherent state caused by two rotations which are in different seqences. Some new normal product expressions for exponential operators, such as e^σJ-e^λJ+ etc, are also derived and their applications in atomic coherent states are presented.

References

[1]

Rose, M. E., Elementary Theory of Angular Momentum, John Whey and Sons, Inc, (1957).[2] Fan Hongyi and Ruan Tunan, SCIENTIA SINICA, Series A, No. 4(1984), 393.[3] Schwinger, J., quantum Theory of Angular Momentum, Academic Press, (1965), 229.[4] Glauber, R. G., Phys. Rev., 131(1963), 2766.[5] Arecchi, F. T., et al, Phys. Rev., A6(1972), 2211.[6] Gupta, S. N., quantum Electrodynamics, Gondon and Breach Science Publishers, Inc.[7] Fan Hongyi and Ruan Tunan, Ke Xue Tong Bao, No. 14(1985), 1063.

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FAN Hong-Yi. COMMUTATIVE PROPERTIES OF OPERATORS IN SCHWINGER BOSON PEPRESENTATION[J]. Chinese Physics C, 1986, 10(3): 380-384.

FAN Hong-Yi. COMMUTATIVE PROPERTIES OF OPERATORS IN SCHWINGER BOSON PEPRESENTATION[J]. Chinese Physics C, 1986, 10(3): 380-384. 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

COMMUTATIVE PROPERTIES OF OPERATORS IN SCHWINGER BOSON PEPRESENTATION

FAN Hong-Yi ^,

Corresponding author: FAN Hong-Yi,

China University of Science and Technology

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1986-06-05

Abstract: The angular momentum theory in the schwinger boson representation is developed to derive a new normal product expression for the commutator [e^iaJx,e^iβJy] by means of the integral technique within normal product, and the effect on the coherent state caused by two rotations which are in different seqences. Some new normal product expressions for exponential operators, such as e^σJ-e^λJ+ etc, are also derived and their applications in atomic coherent states are presented.