2011/11/23 by Raquel M. López, Lopez, Raquel M., Sergeĭ K. Suslov +3
Physics and Astronomy · #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Cold Atom Physics and Bose-Einstein Condensates
paper · pdf · doi:10.48550/arxiv.1111.5569
We discuss the maximum kinematical invariance group of the quantum harmonic oscillator from a view point of the Ermakov-type system. A six parameter family of the square integrable oscillator wave functions, which seems cannot be obtained by the standard separation of variables, is presented as an example. The invariance group of generalized driven harmonic oscillator is shown to be isomorphic to the corresponding Schroedinger group of the free particle.