0185139 - UJF-V 20000313 RIV GB eng J - Journal Article
Levai, G. - Znojil, Miloslav
Systematic search for PT symmetric potentials with real energy spectra.
Journal of Physics. A - Mathematical and General Physics. Roč. 33, - (2000), s. 7165-7168. ISSN 0305-4470
R&D Projects: GA AV ČR IAA1048004
Subject RIV: BE - Theoretical Physics
Impact factor: 1.365, year: 2000

Changes of coordinates represent one of the most effectiveways of deriving solvable potentials from ordinary differential equations for separate special functions. Here we relax the standard Hermiticity requirement and get an innovated construction which leads to unusual, complex potentials. Their energy spectrum is shown to stay real after a weakening of the Hermiticity of the Schrödinger equation to its mere invariance under the combined P (=parity) and T ( =time reversal symmetry. This ultimately results in richerbound-state spectra. Some of our new exactly solvable potentials generalize the current textbook models. Details aregiven for constructions based on the hypergeometric and confluent hypergeometric special functions.
Permanent Link: http://hdl.handle.net/11104/0081556