Composite Quantum Coriolis Forces

Miloslav Znojil ()
Additional contact information
Miloslav Znojil: The Czech Academy of Sciences, Nuclear Physics Institute, Hlavní 130, 250 68 Řež, Czech Republic

Mathematics, 2023, vol. 11, issue 6, 1-18

Abstract: In a consistent quantum theory known as “non-Hermitian interaction picture” (NIP), the standard quantum Coriolis operator Σ ( t ) emerges whenever the observables of a unitary system are given in their quasi-Hermitian and non-stationary rather than “usual” representations. With Σ ( t ) needed, in NIP, in both the Schrödinger-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 Ω ( t ) . The knowledge of this factorization is shown to lead to a multiplet of alternative eligible Coriolis forces Σ n ( t ) with n = 0 , 1 , … , 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.

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 (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/11/6/1375/pdf (application/pdf)
https://www.mdpi.com/2227-7390/11/6/1375/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:11:y:2023:i:6:p:1375-:d:1094941

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().