Research Information System
Thesis Type: Postgraduate
Institution Of The Thesis: Gazi Üniversitesi, Fen Bilimleri Enstitüsü, Turkey
Approval Date: 2009
Student: AHMET FERHAT ERDOĞAN
Supervisor: ÖZLEM YEŞİLTAŞ
Abstract:Quantum Hamilton Jacobi which in the most efficrent approach is used in solutions of various potential classes. Exact solutions and bound states of a wide class of potential solutions are obtained by quantum Hamilton Jacobi method which is developed first by Leacock and Padgett. In this thesis, both energy eigenvalues and wave functions are obtained by using the singularity structure of the quantum momentum function in non-relativistic quantum mechanics. Besides, supersymmetryic quantum mechanics is connected to Quantum Hamilton Jacobi approach and the shape invariance method that is an integrability condition in supersymmetryic quantum mechanics is used to discuss fractional linear transformations of quantum momentum function.