0486430 - ÚJF 2018 RIV DE eng J - Journal Article
Znojil, Miloslav - Geyer, H.B.
Smeared quantum lattices exhibiting PT -symmetry with positive P.
Fortschritte der Physik - Progress of Physics. Roč. 61, 2-3 (2013), s. 111-123. ISSN 0015-8208. E-ISSN 1521-3978
R&D Projects: GA ČR GAP203/11/1433
Institutional support: RVO:61389005
Keywords : cryptohermiticity * quantum lattices * unphysical and physical inner products
OECD category: Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
Impact factor: 1.233, year: 2013 ; AIS: 0.38, rok: 2013
DOI: https://doi.org/10.1002/prop.201200048

A new strategy of the use of PT symmetry in quantum theory is proposed. The essence of the innovation lies in the replacement of the usual parity-like choice of P by its non-involutory and positive-definite alternative P-(positive) not equal I. The resulting modified concept of P-(positive) T -symmetry remains phenomenologically appealing as well as technically useful. This is demonstrated and illustrated via an N-site quantum lattice model which is exactly solvable in terms of Legendre polynomials.
Permanent Link: http://hdl.handle.net/11104/0281244