Non-Hermitian-Hamiltonian-induced unitarity and optional physical inner products in Hilbert space

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F24%3A00598021" target="_blank" >RIV/61389005:_____/24:00598021 - isvavai.cz</a>
Alternative codes found
RIV/62690094:18470/24:50021893
Result on the web
<a href="https://doi.org/10.1016/j.physleta.2024.129782" target="_blank" >https://doi.org/10.1016/j.physleta.2024.129782</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.physleta.2024.129782" target="_blank" >10.1016/j.physleta.2024.129782</a>

Result language
angličtina
Original language name
Non-Hermitian-Hamiltonian-induced unitarity and optional physical inner products in Hilbert space
Original language description
For unitary quantum systems an innovative construction of different evolution patterns sharing the same energy- representing quasi-Hermitian Hamiltonian H not equal H dagger is proposed. The differences originate from the use of nonequivalent physical inner product metrics Theta = Theta(rho)(H) with rho = 0, 1, 2, ..... The main message is that a weakening of the isotropy of the Hilbert-space geometry can be compensated by a prolongation of the interval of unitarity of the evolution. Some of the related technical details are illustrated via a two-level and a four-level exactly solvable toy models.
Czech name
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Czech description
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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

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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