New types of solvability in PT symmetric quantum theory
| dc.creator | Znojil, Miloslav | |
| dc.date | 2005-01-22 | |
| dc.date.accessioned | 2026-07-07T04:31:50Z | |
| dc.date.available | 2026-07-07T04:31:50Z | |
| dc.description | 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. | |
| dc.description | Workshop on Superintegrability in Classical and Quantum Systems, September 16-21, 2002, CRM Montreal, Canada, invited talk. 15 pp | |
| dc.identifier | https://arxiv.org/abs/math-ph/0501058 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0501058 | |
| dc.identifier | in "Superintegrability in Classical and Quantum Systems", Ed. P.Tempesta et al, CRM Proc. Lect. Notes 37, AMS, Providence, 2004 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/57965 | |
| dc.subject | Mathematical Physics | |
| dc.subject | 81Q05; 34M25; 35Q40; 46C20 | |
| dc.title | New types of solvability in PT symmetric quantum theory | |
| dc.type | text |