Generalized coherent states with shifted (displaced) arguments

POPOV, Dusan

doi:10.30511/ttmp.2026.2095670.1087

Generalized coherent states with shifted (displaced) arguments

Document Type : Original Article

Author

Dusan POPOV

1 University Politehnica Timisoara, Department of Physical Foundations of Engineering, Bd. V. Parvan No.2, 300223 Timisoara, Romania 2 Member of Serbian Academy of Nonlinear Sciences (SANS), Belgrade, Serbia

10.30511/ttmp.2026.2095670.1087

Abstract

In the paper we developed a procedure for constructing generalized coherent states with shifted argument, as a result of the action of the generalized displacement operator. This was based on the action of a pair of nonlinear ladder operators, which generate nonlinear coherent states. To examine the properties of coherent states with shifted argument, the rules of the diagonal operator ordering technique (DOOT) were used. The results obtained were verified for a series of particular cases, obtaining expressions consistent with those in the literature. The expressions obtained will be, among others, useful in quantum optics, e.g. for calculating the Wigner operator in the representation of coherent states.

Keywords

coherent states

displacement operator

hypergeometric function

Subjects

Quantum and nonlinear Optics

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