Quantum Optics Journal of the European Optical Society Part B

Eigenfunctions and eigenvalues of the generalized squeeze operator

Chi‐Fai Lo

Published Dec 1, 1991• 9 citations

Abstract

The author has constructed the eigenfunctions and eigenvalue spectrum for the generalized squeeze operator in the Hilbert space of entire functions. Proper eigenstates exist only for beta > mod alpha mod with a discrete eigenvalue spectrum resembling that of a displaced simple harmonic oscillator, whereas for beta < mod alpha mod the generalized squeeze operator has continuum eigenfunctions only.

DOI: 10.1088/0954-8998/3/6/003

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