The method of Hill determinants in PT-symmetric quantum mechanics
| dc.creator | Znojil, Miloslav | |
| dc.date | 2004-10-04 | |
| dc.date.accessioned | 2026-07-25T22:29:11Z | |
| dc.description | Hill-determinant method is described and shown applicable within the so called PT-symmetric quantum mechanics. We demonstrate that in a way paralleling its traditional Hermitian applications and proofs the method guarantees the necessary asymptotic decrease of wave functions as resulting from a fine-tuned mutual cancellation of their asymptotically growing exponential components. Technically, the rigorous proof is needed/offered that in a quasi-variational spirit the method allows us to work, in its numerical implementations, with a sequence of truncated forms of the rigorous Hill-determinant power series for the normalizable bound states. | |
| dc.description | review lecture for Proceedings ``Recent Trends in Exponential Asymptotics" (June 28 - July 2, RIMS, Kyoto), 14 p | |
| dc.identifier | https://arxiv.org/abs/math-ph/0410009 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0410009 | |
| dc.identifier.uri | https://dspace.dare.co.zw/handle/123456789/89524 | |
| dc.subject | Mathematical Physics | |
| dc.subject | 81Q05 | |
| dc.title | The method of Hill determinants in PT-symmetric quantum mechanics | |
| dc.type | text |