Deformed Harmonic Oscillator Algebras defined by their Bargmann representations

M. Irac-Astaud, G. Rideau

Deformed Harmonic Oscillator Algebras are generated by four operators, two mutually adjoint $a$ and $a^{†}$, and two self-adjoint $N$ and the unity $1$ such as: $[a,N] = a, [a^…