Eigenfunctions and eigenvalues of the generalized squeeze operator
Chi‐Fai Lo · Quantum Optics Journal of the European Optical Society Part B · 1991
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.