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24 April 2024

» arxiv » 1302.2800

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Generalized Weyl quantization on the cylinder and quantum phase
Maciej Przanowski ; Przemysław Brzykcy ;
Date:	12 Feb 2013
Abstract:	Generalized Weyl quantization formalism for the cylindrical phase space $S^1 imes mathbb{R}^1$ is developed. It is shown that the quantum observables relevant to the phase of linear harmonic oscillator or electromagnetic field can be represented within this formalism by the self-adjoint operators on the Hilbert space $L^2(S^1)$.
Source:	arXiv, 1302.2800
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