Discrete quantum square well of the first kind

0365427 - ÚJF 2012 RIV NL eng J - Článek v odborném periodiku
Znojil, Miloslav
Discrete quantum square well of the first kind.
Physics Letters. A. Roč. 375, č. 25 (2011), s. 2503-2509. ISSN 0375-9601. E-ISSN 1873-2429
Grant CEP: GA ČR GAP203/11/1433
Výzkumný záměr: CEZ:AV0Z10480505
Klíčová slova: NON-HERMITIAN HAMILTONIANS * PSEUDO-HERMITICITY * REAL SPECTRUM * PT-SYMMETRY
Kód oboru RIV: BE - Teoretická fyzika
Impakt faktor: 1.632, rok: 2011

A new exactly solvable cryptohermitian quantum chain model is proposed and analyzed. Its discrete-square-well-like Hamiltonian with the real spectrum possesses a manifestly non-Hermitian form. It is only made self-adjoint by the constructive transition to an ad hoc Hilbert space. Such a space (i.e., the closed form of its inner product, i.e., the "metric" Theta) varies with an N-plet of optional parameters. The simplicity of our model enables one to obtain the complete family of these physics-determining metrics Theta in a user-friendly band-matrix closed form. (C) 2011 Elsevier B.V. All rights reserved.
Trvalý link: http://hdl.handle.net/11104/0200671