Transactions in Theoretical and Mathematical Physics

Transactions in Theoretical and Mathematical Physics

Some properties of coherent states with singular complex matrix argument

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 our aim was to study the properties of a new version of coherent states whose argument is a linear combination of two special singular square 2 x 2 matrix, having a single nonzero element, equal to 1, and two labeling complex variables as developing coefficients. We have shown that this new version of coherent states satisfies all the conditions imposed on coherent states, both of pure, as well as the mixed (thermal) states characterized by the density operator. As applications, we examined the connection between these coherent states and the notions of qubits and von Neuman entropy.
Keywords
Subjects

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Articles in Press, Accepted Manuscript
Available Online from 06 November 2026

  • Receive Date 19 July 2026
  • Accept Date 30 October 2026
  • First Publish Date 06 November 2026
  • Publish Date 06 November 2026