Theory of Response to Perturbations in Non-Hermitian Systems Using Five-Hilbert-Space Reformulation of Unitary Quantum Mechanics

0523763 - ÚJF 2021 RIV CH eng J - Journal Article
Znojil, Miloslav
Theory of Response to Perturbations in Non-Hermitian Systems Using Five-Hilbert-Space Reformulation of Unitary Quantum Mechanics.
Entropy. Roč. 22, č. 1 (2020), č. článku 80. E-ISSN 1099-4300
Institutional support: RVO:61389005
Keywords : hidden Hermiticity * Hilbert space metric * size of perturbations * stability * PT symmetry * nitary quantum evolution
OECD category: Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
Impact factor: 2.524, year: 2020
Method of publishing: Open access
https://doi.org/10.3390/e22010080

Non-Hermitian quantum-Hamiltonian-candidate combination H lambda of a non-Hermitian unperturbed operator H=H0 with an arbitrary 'small' non-Hermitian perturbation lambda W is given a mathematically consistent unitary-evolution interpretation. The formalism generalizes the conventional constructive Rayleigh-Schrodinger perturbation expansion technique. It is sufficiently general to take into account the well known formal ambiguity of reconstruction of the correct physical Hilbert space of states. The possibility of removal of the ambiguity via a complete, irreducible set of observables is also discussed.
Permanent Link: http://hdl.handle.net/11104/0308060