
240 Commutation Relations, Normal Ordering, and Stirling Numbers
modify – that is, deform – the commutation relation of an ordinary harmonic oscillator were
encountered many times in theoretical physics. Among different deformed oscillator models,
the simplest and most popular are the Arik–Coon [41] and Biedenharn–Macfarlane [100,749]
models,aswellasatwo-parameter(p, q)-deformed oscillator [220]. In addition, the Tamm–
Dancoff deformed oscillator [241, 879] and the Jannussis μ-oscillator [592] attracted more
and more attention during the last years. In [643], many other deformed oscillator models
were discussed from a systematic point of view.
We sta ...