Non-stationary quantum mechanics in hybrid non-Hermitian interaction representation
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F23%3A00569665" target="_blank" >RIV/61389005:_____/23:00569665 - isvavai.cz</a>
Alternative codes found
RIV/62690094:18470/23:50020911
Result on the web
<a href="https://doi.org/10.1016/j.physleta.2023.128655" target="_blank" >https://doi.org/10.1016/j.physleta.2023.128655</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.physleta.2023.128655" target="_blank" >10.1016/j.physleta.2023.128655</a>
Alternative languages
Result language
angličtina
Original language name
Non-stationary quantum mechanics in hybrid non-Hermitian interaction representation
Original language description
A new formulation of unitary quantum mechanics is proposed. Conceptually our proposal is inspired not only by the conventional interaction picture (where the wave functions and the observables do both vary with time) and by the newer, non-Hermitian version of Schrodinger picture (where the Hamiltonians with real spectra are still stationary) but also by their universal non-Hermitian interaction-picture 'overlap' (NIP) in which the physical inner-product metric in Hilbert space is also time-dependent. The main idea of the innovation (called 'hybrid interaction picture', HIP) lies in a partial simplification of the NIP Hilbert-space metric achieved via a partial preconditioning of the operators (in this sense we call their necessary Hermitization 'hybrid'). Via an illustrative example it is shown that the HIP approach might open new ways towards the technically optimal quantum-model-building strategies.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - 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
Physics Letters. A
ISSN
0375-9601
e-ISSN
1873-2429
Volume of the periodical
462
Issue of the periodical within the volume
FEB
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
10
Pages from-to
128655
UT code for WoS article
000927450800001
EID of the result in the Scopus database
2-s2.0-85150642350