D-Pseudo-Bosons, Complex Hermite Polynomials, and Integral Quantization
D-Pseudo-Bosons, Complex Hermite Polynomials, and Integral Quantization
The ${\mathcal D}$-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 ${\rm GL}(2,{\mathbb C})$ of invertible $2 \times 2$ matrices with complex entries. It reveals interesting aspects of these representations. The second example is based on …