## Generalized Weyl quantization on the cylinder and quantum phase    [PDF]

Maciej Przanowski, Przemysław Brzykcy
Generalized Weyl quantization formalism for the cylindrical phase space $S^1 \times \mathbb{R}^1$ 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 $L^2(S^1)$.
View original: http://arxiv.org/abs/1302.2800