Phase shift operator and cyclic evolution in finite dimensional Hilbert space

Ramandeep S. Johal

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arXiv · quant-ph/0003114

Phase shift operator and cyclic evolution in finite dimensional Hilbert space

Ramandeep S. Johal

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Abstract

We address the problem of phase shift operator acting as time evolution operator in Pegg-Barnett formalism. It is argued that standard shift operator is inconsistent with the behaviour of the state vector under cyclic evolution. We consider a generally deformed oscillator algebra at q-root of unity, as it yields the same Pegg-Barnett operator and show that shift operator meets our requirement.

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Ramandeep S. Johal. 2000-03-24. Phase shift operator and cyclic evolution in finite dimensional Hilbert space. https://arxiv.org/abs/quant-ph/0003114

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