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Systematic search for PT symmetric potentials with real energy spectra
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SYSNO ASEP 0185139 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Ostatní články Title Systematic search for PT symmetric potentials with real energy spectra Author(s) Levai, G. (HU)
Znojil, Miloslav (UJF-V) RID, ORCID, SAISource Title Journal of Physics. A - Mathematical and General Physics - ISSN 0305-4470
Roč. 33, - (2000), s. 7165-7168Number of pages 4 s. Language eng - English Country GB - United Kingdom Subject RIV BE - Theoretical Physics R&D Projects IAA1048004 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) Annotation 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. Workplace Nuclear Physics Institute Contact Markéta Sommerová, sommerova@ujf.cas.cz, Tel.: 266 173 228 Year of Publishing 2001
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