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Coherent states with elliptical polarization

E. Colavita·S. Hacyan
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Abstract

Coherent states of the two dimensional harmonic oscillator are constructed as superpositions of energy and angular momentum eigenstates. It is shown that these states are Gaussian wave-packets moving along a classical trajectory, with a well defined elliptical polarization. They are coherent correlated states with respect to the usual cartesian position and momentum operators. A set of creation and annihilation operators is defined in polar coordinates, and it is shown that these same states are precisely coherent states with respect to such operators.

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E. Colavita, S. Hacyan. 2005-01-20. Coherent states with elliptical polarization. https://doi.org/10.1016/j.physleta.2005.01.061

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