A new method for constructing squeezed states for the isotropic 2D harmonic oscillator
arXiv:2001.07652 · doi:10.1007/978-3-030-55777-5_24
Abstract
We introduce a new method for constructing squeezed states for the 2D isotropic harmonic oscillator. Based on the construction of coherent states in [1], we define a new set of ladder operators for the 2D system as a linear combination of the x and y ladder operators and construct the SU(2) coherent states. The new ladder operators are used for generalizing the squeezing operator to 2D and the SU(2) coherent states play the role of the Fock states in the expansion of the 2D squeezed states. We discuss some properties of the 2D squeezed states.
8 pages, Quantum Theory and Symmetries XI 2019 proceedings