Extension of the \(q\)-deformed oscillator and two-parameter coherent states (Q2766235)
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scientific article; zbMATH DE number 1695697
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Extension of the \(q\)-deformed oscillator and two-parameter coherent states |
scientific article; zbMATH DE number 1695697 |
Statements
27 January 2002
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oscillator
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algebra
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deformation
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algebra \(\text{SU}_Q(2)\)
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Extension of the \(q\)-deformed oscillator and two-parameter coherent states (English)
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As is known, the algebra \(\text{SU}_Q(2)\) is a complex associative algebra with identity generated by generators \(a, a^*, b\) and \(b^*\), subject to certain relations which involve the parameters \(q\). In the present paper, this algebra is extended to a new one by introducing two new generators and one new parameter. For the new algebra the authors explain the motivation of such a consideration and also discuss some representations of the new algebra.
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