Unitary Representations of Quantum Superpositions of two Coherent States and beyond
Quantum Physics
2013-06-13 v2
Abstract
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.
Keywords
Cite
@article{arxiv.1306.2524,
title = {Unitary Representations of Quantum Superpositions of two Coherent States and beyond},
author = {Antonino Messina and Gheorghe Draganescu},
journal= {arXiv preprint arXiv:1306.2524},
year = {2013}
}