Transactions in Theoretical and Mathematical Physics

Transactions in Theoretical and Mathematical Physics

Generalized coherent states with shifted (displaced) arguments

Document Type : Original Article

Author
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
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.
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Articles in Press, Accepted Manuscript
Available Online from 31 August 2026

  • Receive Date 26 July 2026
  • Accept Date 26 August 2026
  • First Publish Date 30 August 2026
  • Publish Date 31 August 2026