Abstract. We establish some of the properties of the states interpolating between number and coherent states denoted by |n_λ; among them are the reproduction of these states by the action of an operator-valued function on |n (the standard Fock space) and the fact that they can be regarded as f-deformed coherent bound states. In this paper we use them as the basis of our new Fock space which in this case is not orthogonal but normalized. Then by some special superposition of them we obtain new representations for coherent and squeezed states in the new basis. Finally the statistical properties of these states are studied in detail.

PACS number: 42.50.Dv

Print publication: Issue 21 (28 May 2004)
Received 23 September 2003, in final form 18 March 2004
Published 12 May 2004