1205.6302 (Nicolae Cotfas et al.)

Properties of finite Gaussians and the discrete-continuous transition    [PDF]

Nicolae Cotfas, Daniela Dragoman

We investigate the uncertainty relation of finite Gaussian states, the form of the associated Wigner quasi-distribution and the evolution under free-particle and quantum harmonic oscillator Hamiltonians. In all cases, a particular emphasis is put on the recovery of the known continuous-limit results when the dimension of the system increases.

View original: http://arxiv.org/abs/1205.6302