Equivalence of Weyl Vacuum and Normal Ordered Vacuum in the Moyal Quantization

Details Equivalence of Weyl Vacuum and Normal Ordered Vacuum in the Moyal Quantization Equivalence of Weyl Vacuum and Normal Ordered Vacuum in the Moyal Quantization

2001-12-30

arxiv.org/abs/hep-th/0112256v1

Prog.Theor.Phys. 107 (2002) 1061-1067

Physics

High Energy Physics

High Energy Physics - Theory

8 pages

Scientific paper

10.1143/PTP.107.1061

We study the features of the vacuum of the harmonic oscillator in the Moyal
quantization. Two vacua are defined, one with the normal ordering and the other
with the Weyl ordering. Their equivalence is shown by using a differential
equation satisfied by the normal ordered vacuum.

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