Matrix Hamiltonians with an algebraic guarantee of unbroken PT-symmetry
| dc.creator | Znojil, Miloslav | |
| dc.date | 2008-01-02 | |
| dc.date.accessioned | 2026-07-07T10:01:09Z | |
| dc.date.available | 2026-07-07T10:01:09Z | |
| dc.description | Quantum bound-state energies are assumed generated by PT-symmetric Hamiltonians H where P is, typically, parity. It is known that their spectrum only remains real and observable (i.e., in the language of physics, the PT-symmetry remains unbroken) inside a certain domain D of couplings. We show that the boundary of this domain (i.e., certain stability and observability horizon formed by the Kato's exceptional points) remains algebraic (i.e., we determine it by closed formulae) for a certain toy-model family of N-dimensional anharmonic-oscillator-related matrix Hamiltonians with dimensions between N=2 and N=11. | |
| dc.description | 25 pp., partially presented during the 6th International Workshop on Pseudo Hermitian Hamiltonians in Quantum Physics (16th-18th of July 2007, City University, London, http://www.staff.city.ac.uk/~fring/PT/) | |
| dc.identifier | https://arxiv.org/abs/0801.0359 | |
| dc.identifier | http://arxiv.org/abs/0801.0359 | |
| dc.identifier | J. Phys. A: Math. Theor. 41 (2008) 244027 | |
| dc.identifier | doi:10.1088/1751-8113/41/24/244027 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/168541 | |
| dc.subject | Mathematical Physics | |
| dc.subject | 81Q10; 12D10; 14J81; 14M12; 26C10; 46C20; 47B50 | |
| dc.title | Matrix Hamiltonians with an algebraic guarantee of unbroken PT-symmetry | |
| dc.type | text |