Quantum Phase Operator and Phase States
classification
🪐 quant-ph
keywords
phaseoperatorquantumclassicaldependenceeigenstatesformulatedgegenbauer
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A Hermitian quantum phase operator is formulated that mirrors the classical phase variable with proper time dependence and satisfies trigonometric identities. The eigenstates of the phase operator are solved in terms of Gegenbauer ultraspherical polynomials in the number state representation.
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