Non-Hermitian interaction representation and its use in relativistic quantum mechanics

0480789 - ÚJF 2018 RIV US eng J - Článek v odborném periodiku
Znojil, Miloslav
Non-Hermitian interaction representation and its use in relativistic quantum mechanics.
Annals of Physics. Roč. 385, č. 10 (2017), s. 162-179. ISSN 0003-4916. E-ISSN 1096-035X
Grant CEP: GA ČR GA16-22945S
Institucionální podpora: RVO:61389005
Klíčová slova: unitary quantum systems * non-Hermitian version of Dirac's interaction picture * complete set of time-evolution equations * application in relativistic quantum mechanics * Klein-Gordon example with space-time-dependent mass
Obor OECD: Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
Impakt faktor: 2.367, rok: 2017

The textbook interaction-picture formulation of quantum mechanics is extended to cover the unitarily evolving systems in which the Hermiticity of the observables is guaranteed via an ad hoc amendment of the inner product in Hilbert space. These systems are sampled by the Klein Gordon equation with a space- and time dependent mass term.
Trvalý link: http://hdl.handle.net/11104/0276477