Non-Stationary Non-Hermitian 'Wrong-Sign' Quantum Oscillators and Their Meaningful Physical Interpretation
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F23%3A00571840" target="_blank" >RIV/61389005:_____/23:00571840 - isvavai.cz</a>
Alternative codes found
RIV/62690094:18470/23:50020909
Result on the web
<a href="https://doi.org/10.3390/e25040692" target="_blank" >https://doi.org/10.3390/e25040692</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3390/e25040692" target="_blank" >10.3390/e25040692</a>
Alternative languages
Result language
angličtina
Original language name
Non-Stationary Non-Hermitian 'Wrong-Sign' Quantum Oscillators and Their Meaningful Physical Interpretation
Original language description
In the framework of quantum mechanics using quasi-Hermitian operators the standard unitary evolution of a non-stationary but still closed quantum system is only properly described in the non-Hermitian interaction picture (NIP). In this formulation of the theory both the states and the observables vary with time. A few aspects of implementation of this picture are illustrated via the 'wrong-sign' quartic oscillators. It is shown that in contrast to the widespread belief, both of the related Schrodinger-equation generators G(t) and the Heisenberg-equation generators s(t) are just auxiliary concepts. Their spectra are phenomenologically irrelevant and, in general, complex. It is argued that only the sum H(t)=G(t)+s(t) of the latter operators retains the standard physical meaning of the instantaneous energy of the unitary quantum system in question.
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
10102 - Applied mathematics
Result continuities
Project
—
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
Entropy
ISSN
1099-4300
e-ISSN
1099-4300
Volume of the periodical
25
Issue of the periodical within the volume
4
Country of publishing house
CH - SWITZERLAND
Number of pages
16
Pages from-to
692
UT code for WoS article
000980885000001
EID of the result in the Scopus database
2-s2.0-85153859442