Tridiagonal PT-symmetric N by N Hamiltonians and a fine-tuning of their observability domains in the strongly non-Hermitian regime
| dc.creator | Znojil, Miloslav | |
| dc.date | 2007-09-11 | |
| dc.date.accessioned | 2026-07-07T09:19:25Z | |
| dc.date.available | 2026-07-07T09:19:25Z | |
| dc.description | A generic PT-symmetric Hamiltonian is assumed tridiagonalized and truncated to N dimensions, and its up-down symmetrized special cases with J=[N/2] real couplings are considered. In the strongly non-Hermitian regime the secular equation gets partially factorized at all N. This enables us to reveal a fine-tuned alignment of the dominant couplings implying an asymptotically sharply spiked shape of the boundary of the J-dimensional quasi-Hermiticity domain in which all the spectrum of energies remains real and observable. | |
| dc.description | 28 pp., 4 tables, 1 figure | |
| dc.identifier | https://arxiv.org/abs/0709.1569 | |
| dc.identifier | http://arxiv.org/abs/0709.1569 | |
| dc.identifier | J. Phys. A: Math. Theor. 40 (2007) 13131-13148 | |
| dc.identifier | doi:10.1088/1751-8113/40/43/020 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/154381 | |
| dc.subject | Mathematical Physics | |
| dc.subject | 81Q10; 13P10; 14J81; 14M12; 46C20; 47B50 | |
| dc.title | Tridiagonal PT-symmetric N by N Hamiltonians and a fine-tuning of their observability domains in the strongly non-Hermitian regime | |
| dc.type | text |