D-Pseudo-Bosons, Complex Hermite Polynomials, and Integral Quantization
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
D-Pseudo-Bosons, Complex Hermite Polynomials, and Integral Quantization
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| Creator |
Ali, S.T.
Bagarello, F. Gazeau, J.P. |
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| Description |
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.
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| Date |
2019-02-13T17:44:41Z
2019-02-13T17:44:41Z 2015 |
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| Type |
Article
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| Identifier |
D-Pseudo-Bosons, Complex Hermite Polynomials, and Integral Quantization / S.T. Ali, F. Bagarello, J.P. Gazeau // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 41 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 81Q12; 47C05; 81S05; 81R30; 33C45 DOI:10.3842/SIGMA.2015.078 http://dspace.nbuv.gov.ua/handle/123456789/147152 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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