1306.2524 (Antonino Messina et al.)

Unitary Representations of Quantum Superpositions of two Coherent States
and beyond    [PDF]

Antonino Messina, Gheorghe Dr\uag\uanescu

The construction of a class of unitary operators generating linear superpositions of generalized coherent states from the ground state of a quantum harmonic oscillator is reported. Such a construction, based on the properties of a new ad hoc introduced set of hermitian operators, leads to the definition of new basis in the oscillator Hilbert space, extending in a natural way the displaced Fock states basis. The potential development of our method and our results is briefly outlined.

View original: http://arxiv.org/abs/1306.2524