DISTORTION OF A PHASE-SPACE UNDER THE DARBOUX TRANSFORMATION

The Darboux transformation operator technique is applied to construct exactly solvable anharmonic singular oscillator potentials and to stud y their coherent states. Classical system corresponding to a transform ed quantum system is constructed with the help of the coherent states technique. It is shown that at classical level the Darboux transformat ion may be treated as a transformation of Kahler potential, which lead s to a distortion of the initial phase space. (C) 1998 American Instit ute of Physics. [S0022-2488(98)01601-6].