Composite Quantum Coriolis Forces
Result description
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.
Keywords
quantum mechanics of closed unitary systemsoperators of observables in non-Hermitian representationtime-dependent physical inner productsnon-stationary non-Hermitian interaction pictureN alternative triplets of evolution equationswrong-sign anharmonic oscillator
The result's identifiers
Result code in IS VaVaI
Alternative codes found
RIV/62690094:18470/23:50020910
Result on the web
DOI - Digital Object Identifier
Alternative languages
Result language
angličtina
Original language name
Composite Quantum Coriolis Forces
Original language description
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.
Czech name
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Czech description
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Classification
Type
Jimp - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10301 - Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Mathematics
ISSN
2227-7390
e-ISSN
2227-7390
Volume of the periodical
11
Issue of the periodical within the volume
6
Country of publishing house
CH - SWITZERLAND
Number of pages
18
Pages from-to
1375
UT code for WoS article
000960560600001
EID of the result in the Scopus database
2-s2.0-85151352163
Basic information
Result type
Jimp - Article in a specialist periodical, which is included in the Web of Science database
OECD FORD
Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
Year of implementation
2023