Composite Quantum Coriolis Forces

0571103 - ÚJF 2024 RIV CH eng J - Journal Article
Znojil, Miloslav
Composite Quantum Coriolis Forces.
Mathematics. Roč. 11, č. 6 (2023), č. článku 1375. E-ISSN 2227-7390
Institutional support: RVO:61389005
Keywords : quantum mechanics of closed unitary systems * operators of observables in non-Hermitian representation * time-dependent physical inner products * non-stationary non-Hermitian interaction picture * N alternative triplets of evolution equations * wrong-sign anharmonic oscillator
OECD category: Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
Impact factor: 2.4, year: 2022
Method of publishing: Open access
https://doi.org/10.3390/math11061375

In a consistent quantum theory known as 'non-Hermitian interaction picture' (NIP), the standard quantum Coriolis operator S(t) emerges whenever the observables of a unitary system are given in their quasi-Hermitian and non-stationary rather than 'usual' representations. With S(t) needed, in NIP, in both the Schrodinger-like and Heisenberg-like dynamical evolution equations we show that another, amended and potentially simplified theory can be based on an auxiliary N-term factorization of the Dyson's Hermitization map O(t). The knowledge of this factorization is shown to lead to a multiplet of alternative eligible Coriolis forces S-n(t) with n=0,1, horizontal ellipsis ,N. The related formulae for the measurable predictions constitute a new formalism refered to as 'factorization-based non-Hermitian interaction picture' (FNIP). The conventional NIP formalism (where N=1) becomes complemented by an (N-1)-plet of its innovative 'hybrid' alternatives. Some of the respective ad hoc adaptations of observables may result in an optimal representation of quantum dynamics.
Permanent Link: https://hdl.handle.net/11104/0342404