Abstract
The D-pseudo-boson formalism is illustrated with two examples. The first one involves deformed complex Hermite polynomials built using finite-dimensional irreducible representations of the group GL(2, C) of invertible 2 × 2 matrices with complex entries. It reveals interesting aspects of these representations. The second example is based on a pseudo-bosonic generalization of operator-valued functions of a complex variable which resolves the identity. We show that such a generalization allows one to obtain a quantum pseudo-bosonic version of the complex plane viewed as the canonical phase space and to understand functions of the pseudo-bosonic operators as the quantized versions of functions of a complex variable.
Lingua originale | English |
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Numero di pagine | 23 |
Rivista | SYMMETRY, INTEGRABILITY AND GEOMETRY: METHODS AND APPLICATIONS |
Volume | 11 |
Stato di pubblicazione | Published - 2015 |
All Science Journal Classification (ASJC) codes
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- ???subjectarea.asjc.2600.2610???
- ???subjectarea.asjc.2600.2608???