A unified representation of the q-oscillator and the q-plane

Details A unified representation of the q-oscillator and the q-plane A unified representation of the q-oscillator and the q-plane

2000-12-14

arxiv.org/abs/math-ph/0012029v1

Physics

Mathematical Physics

Scientific paper

Using deformations inspired by relativistic considerations and phase space
symmetry, we deform the position and momentum operators in one dimension. The
resulting algebra is shown to yield the q-oscillator algebra in one limiting
case and the q-plane commutation relation in another.

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