Abstract
Displaced negative-binomial mixed states are introduced and their properties are studied. It is shown that they may be used to construct a resolution of the identity operator and, therefore, that they can be used as a ''basis'' in the Hilbert space. Generalized P and Q representations with respect to these states are introduced and their properties are discussed. The pure SU(1,1) coherent states discussed by Perelomov are considered in the two-mode harmonic oscillator Hilbert space and it is shown that the partial trace with respect to one of the modes leads to negative-binomial mixed states. Using this observation, the formalism of thermo-field-dynamics is generalized in a corresponding negative-binomial field dynamics. © 1995 The American Physical Society.
| Original language | English |
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| Pages (from-to) | 2353-2360 |
| Number of pages | 8 |
| Journal | Physical Review A (Atomic, Molecular and Optical Physics) |
| Volume | 51 |
| DOIs | |
| Publication status | Published - 1995 |