Distortion of a Phase Space Under the Darboux Transformation

Abstract

The Darboux transformation operator technique is applied to construct exactly solvable anharmonic singular oscillator potentials and to study their coherent states. Classical system corresponding to a transformed quantum system is constructed with the help of the coherent states technique. It is shown that at classical level the Darboux transformation may be treated as a transformation of Kähler potential which leads to a distortion of the initial phase space.

To be published in J. Math. Phys. 1998, v. 39, No 1 or No 2

References in corpus (1)

• Generalized Algebraic Bargmann - Darboux Transformations

Cited by in corpus (4)

• Darboux transformations of coherent states of the time-dependent singular oscillator
• q deformation by intertwining with application to the singular oscillator
• Linear second-order differential equations for barotropic FRW cosmologies
• On a Resolution of the Identity in Terms of Coherent States