NEW APPROACH TO DERIVING THE THERMO-MINIMUM UNCERTAINTY STATES AND ITS WIGNER FUNCTION

Hong‐Chun Yuan, Xue-xiang Xu, Hong-Yi Fan · Modern Physics Letters B · 2010

Based on our previous study [Mod. Phys. Lett. A18 (2003) 677] in which minimum uncertainty states for thermo-field dynamics were proposed, we use a new approach to derive the thermo-minimum uncertainty states via the relation of two-variable Hermite polynomial. In addition, the compact expression for its corresponding Wigner function is obtained analytically by using the Weyl-ordered invariance under the similar transformations, which seems a new result.

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