Isaac Scientific Publishing

Theoretical Physics

Coherent States of Systems with Non-Equidistant Energy Levels

Download PDF (349.7 KB) PP. 97 - 107 Pub. Date: April 27, 2017

DOI: 10.22606/tp.2017.22007


  • Dušan POPOV*
    Department of Physical Foundations of Engineering, University Politehnica Timisoara, Romania


In the paper we have built and examined the properties of quantum systems with nonequidistant energy levels from a point of view of a new introduced approach – the diagonal operator ordering technique (DOOT). In this frame, we examine also the properties of mixed states described by a canonical density operator. We particularize the obtained results for some particular cases (the system with Hamiltonian whose eigenfunctions are the generalized Laguerre functions, as well as the Pöschl-Teller like potentials, and the infinite quantum well).


Coherent states, operator ordering, density operator, energy spectra.


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