New types of solvability in PT symmetric quantum theory

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The characteristic anti-linear (parity/time reversal, PT) symmetry of non-Hermitian Hamiltonians with real energies is presented as a source of two new forms of solvability of Schrödinger's bound-state problems. In detail we describe (1) their very specific semi-exact solvability (SES) and (2) their innovated variational tractability. SES technicalities are discussed via charged oscillator example. In a broader context, speculations are added concerning possible relationship between PT symmetry, solvability and superintegrability.
Workshop on Superintegrability in Classical and Quantum Systems, September 16-21, 2002, CRM Montreal, Canada, invited talk. 15 pp

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Mathematical Physics, 81Q05; 34M25; 35Q40; 46C20

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http://salesiana.dossiersoluciones.com/handle/123456789/57965

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math-ph/0501058
 http://arxiv.org/abs/math-ph/0501058
 in "Superintegrability in Classical and Quantum Systems", Ed. P.Tempesta et al, CRM Proc. Lect. Notes 37, AMS, Providence, 2004

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arXiv