Open AccessEquivalence of the Weyl Vacuum and Normally Ordered Vacuum in the Moyal Quantization
Author(s) -
T. Koikawa
Publication year - 2002
Publication title -
progress of theoretical physics
Language(s) - English
Resource type - Journals
eISSN - 1347-4081
pISSN - 0033-068X
DOI - 10.1143/ptp.107.1061
Subject(s) - physics , quantization (signal processing) , equivalence (formal languages) , mathematical physics , harmonic oscillator , vacuum state , quantum mechanics , pure mathematics , mathematics , algorithm
We study the features of the vacuum of the harmonic oscillator in the Moyalquantization. Two vacua are defined, one with the normal ordering and the otherwith the Weyl ordering. Their equivalence is shown by using a differentialequation satisfied by the normal ordered vacuum.Comment: 8 page
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