Equivalence of the Weyl Vacuum and Normally Ordered Vacuum in the Moyal Quantization
Equivalence of the Weyl Vacuum and Normally Ordered Vacuum in the Moyal Quantization
We study 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 Weyl ordering. Their equivalence up to an overall constant factor is shown by using a differential equation satisfied by the normally ordered vacuum.