D-Pseudo-Bosons, Complex Hermite Polynomials, and Integral Quantization

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2015
• Main Authors: Ali, S.T., Bagarello, F., Gazeau, J.P.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2015
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147152
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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.

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 represen...