An exactly solvable PT symmetric potential from the Natanzon class

G. Lévai, A. Sinha, P. Roy

Research output: Contribution to journalArticle

25 Citations (Scopus)

Abstract

The PT symmetric version of the generalized Ginocchio potential, a member of the general exactly solvable Natanzon potential class, is analysed and its properties are compared with those of PT symmetric potentials from the more restricted shape-invariant class. It is found that the PT symmetric generalized Ginocchio potential has a number of properties in common with the latter potentials: it can be generated by an imaginary coordinate shift x → x + iε, its states are characterized by the quasi-parity quantum number, the spontaneous breakdown of PT symmetry occurs at the same time for all the energy levels and it has two supersymmetric partners which cease to be PT symmetric when the PT symmetry of the original potential is spontaneously broken.

Original languageEnglish
Pages (from-to)7611-7623
Number of pages13
JournalJournal of Physics A: Mathematical and General
Volume36
Issue number27
DOIs
Publication statusPublished - Jul 11 2003

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)

Fingerprint Dive into the research topics of 'An exactly solvable PT symmetric potential from the Natanzon class'. Together they form a unique fingerprint.

  • Cite this