Two-Mode Wigner Operator in 〈ξ| Representation and 〈τ| Representation

SONG Tong-Qiang, FAN Hong-Yi

理论物理通讯 ›› 2001, Vol. 36 ›› Issue (6) : 695-698.

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会计学季刊
Quarterly Journal of Accounting
主办单位:
香港中文大学会计学院
上海财经大学会计学院
南京大学商学院会计学系
ISSN: 3006-1415
PDF(168 KB)
理论物理通讯 ›› 2001, Vol. 36 ›› Issue (6) : 695-698.

Two-Mode Wigner Operator in 〈ξ| Representation and 〈τ| Representation

  • SONG Tong-Qiang1, FAN Hong-Yi2,3
作者信息 +

Two-Mode Wigner Operator in 〈ξ| Representation and 〈τ| Representation

  • SONG Tong-Qiang1, FAN Hong-Yi2,3
Author information +
文章历史 +

摘要

We derive the two-mode Wigner operator in the 〈ξ| representation and 〈τ| representation, where |ξ〉 is common eigenvector of the mass-weighted relative coordinate and the mass-combinatorial momentum.and |τ〉 common eigenvector of the mass-weighted relative coordinate and the mass-combinatorial momentum. As an application,we calculate the Wigner function of some two-mode state.

Abstract

We derive the two-mode Wigner operator in the 〈ξ| representation and 〈τ| representation, where |ξ〉 is common eigenvector of the mass-weighted relative coordinate and the mass-combinatorial momentum.and |τ〉 common eigenvector of the mass-weighted relative coordinate and the mass-combinatorial momentum. As an application,we calculate the Wigner function of some two-mode state.

关键词

Wigner operator / Wigner function / 〈&xi / representation

Key words

Wigner operator / Wigner function / 〈ξ / representation

引用本文

导出引用
SONG Tong-Qiang, FAN Hong-Yi. Two-Mode Wigner Operator in 〈ξ| Representation and 〈τ| Representation[J]. 理论物理通讯, 2001, 36(6): 695-698
SONG Tong-Qiang, FAN Hong-Yi. Two-Mode Wigner Operator in 〈ξ| Representation and 〈τ| Representation[J]. Communications in Theoretical Physics, 2001, 36(6): 695-698

参考文献

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[2] Fan Hong-Yi and J. Vanderlinde, Phys. Rev. A43 (1991)1604.



[3] FAN Hong-Yi and CHEN Bo-Zhan, Phys. Rev. A53(1996) 2948.



[4] H. Weyl, Z. Phys. 46 (1927) 1; J.E. Moyal, Proc. Cambridge Phil. Soc. 45 (1949) 99.



[5] FAN Hong-Yi and RUAN Tu-Nan, Sci. Sin. Ser. A37(1984) 392.



[6] Fan Hong-Yi and J. Vanderlinde, Phys. Rev. A38 (1989)2987.



[7] FAN Hong-Yi, J. Phys. A: Math. Gen. 23 (1990) 1833.



[8] Fan Hong-Yi and H.R. Zaid, Phys. Lett. A124 (1987)303.



[9] WU He-Jun and FAN Hong-Yi, Mod. Phys. Lett. B11(1997) 549.



[10] FAN Hong-Yi and LIU Nai-Le, Chin. Phys. Lett. 16(1999) 625.



[11] I.M. Mills and A.G. Robiette, Mol. Phys. 56 (1985) 743.

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