CPT-Symmetric Discrete Square Well

0365880 - ÚJF 2012 RIV US eng J - Článek v odborném periodiku
Znojil, Miloslav - Tater, Miloš
CPT-Symmetric Discrete Square Well.
International Journal of Theoretical Physics. Roč. 50, č. 4 (2011), s. 982-990. ISSN 0020-7748. E-ISSN 1572-9575.
[International Conference on Pseudo-Hermitian Hamiltonians in Quantum Physics. Hangzhou, 21.06.2010-24.06.2010]
Grant CEP: GA MŠMT LC06002
Výzkumný záměr: CEZ:AV0Z10480505
Klíčová slova: HERMITIAN QUANTUM-MECHANICS * PT-SYMMETRY * HAMILTONIANS
Kód oboru RIV: BE - Teoretická fyzika
Impakt faktor: 0.845, rok: 2011

In an addendum to the recent systematic Hermitization of certain N by N matrix Hamiltonians H ((N))(lambda) (Znojil in J. Math. Phys. 50:122105, 2009) we propose an amendment H ((N))(lambda,lambda) of the model. The gain is threefold. Firstly, the updated model acquires a natural mathematical meaning of Runge-Kutta approximant to a differential PT-symmetric square well in which P is parity. Secondly, the appeal of the model in physics is enhanced since the related operator C of the so called "charge" (the requirement of observability of which defines the most popular Bender's metric Theta = PC) becomes also obtainable (and is constructed here) in an elementary antidiagonal matrix form at all N.
Trvalý link: http://hdl.handle.net/11104/0201022