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Prog. Theor. Phys. Vol. 106 No. 5 (2001) pp. 1027-1035
On the Vacuum in the Moyal Quantization
Takao Koikawa*
School of Social Information Studies,
Otsuma Women's University,
Tama 206-0035, Japan
(Received May 17, 2001)
Abstract:
We study the features of the vacuum of a harmonic oscillator in the Moyal
quantization. The vacuum defined using the normal ordering and the Weyl ordering
are studied within the classical function framework.
They are compared at order 1/\hbar,
and the difference between them is elucidated.
URL :
http://ptp.ipap.jp/link?PTP/106/1027/
DOI : 10.1143/PTP.106.1027
References:
- J. E. Moyal, Proc. Cambridge Phil. Soc. 45 (1949), 90.
-
T. Koikawa, Phys. Lett. A 256 (1999), 284[CrossRef]; Prog. Theor. Phys. 102 (1999), 29[IPAP]; 105 (2001), 1045.
-
T. Curtright, D. Fairlie and C. Zachos, Phys. Rev. D 58 (1998), 025002-1[APS].
- D. Fairlie, Proc. Cambridge Philos. Soc. 60 (1964), 581.
D. Fairlie and C. Mnogue, J. of Phys. A 24 (1991), 3807[IoP STACKS].
-
R. Gopakumar, S. Minwalla and A. Strominger, J. High Energy Phys. 20 (2000), 5[IoP STACKS].
-
F. J. Dyson, Phys. Rev. 82 (1951), 428[APS].
Citing Article(s) :
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Progress of Theoretical Physics Vol. 107 No. 5 (2002) pp. 1061-1067
:
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Equivalence of the Weyl Vacuum and Normally Ordered Vacuum in the Moyal Quantization
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Takao Koikawa
-
Progress of Theoretical Physics Vol. 108 No. 6 (2002) pp. 1123-1141
:
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Moyal Quantization for Constrained System
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Takayuki Hori, Takao Koikawa and Takuya Maki
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Progress of Theoretical Physics Vol. 110 No. 1 (2003) pp. 127-136
:
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Quantization via Star Products
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Takayuki Hori and Takao Koikawa
