Exactly solvable potentials from decemvirate power potential

Authors : Nilamoni SAIKIA

Pages : 187-196

Doi:10.3906/muh-1204-8

View : 11 | Download : 5

Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :A transformation method is presented which consist of a coordinate transformation and a functional transformation that allow generation of exact analytic bound state solutions of the Schrodinger Green`s function equation. The method proposed here, which involves the generation of an exact analytic solution from solvable decemvirate power potential within the framework of Green`s functions technique, makes it possible to generate a number of solved quantum systems for original quantum systems with multi-term potentials. The generated quantum systems are in general energy dependent with a single normalized eigenstate. A method has been devised to convert a subset of the generated quantum systems with energy-dependent potentials to a single normal system with an energy-independent potential.
Keywords : Schrodinger Green`s function equation, bound state solution, extended transformation method, decemvirate power potential