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- W2065483643 abstract "Transformations which leave the q-oscillator algebra invariant are considered. In general there exists no uniqueness theorem for the q-oscillator case. It is proven, however. that the analogue of von Neumann's theorem exists for a certain class of transformations. An essential part of these transformations is defined by the relation between the elements a+a and N involving a constant. The latter can be interpreted as a central element of the q-oscillator algebra. The explicit form of non-unitary transformations with invariance of the algebra is obtained as well." @default.
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- W2065483643 date "1994-03-21" @default.
- W2065483643 modified "2023-09-27" @default.
- W2065483643 title "Invariance properties of the q-oscillator algebra: q-analogue of von Neumann's theorem" @default.
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- W2065483643 doi "https://doi.org/10.1088/0305-4470/27/6/028" @default.
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