Quasi-hermitian quantum mechanics and a new class of user-friendly matrix hamiltonians

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F23%3A50021177" target="_blank" >RIV/62690094:18470/23:50021177 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/61389005:_____/23:00581037

Výsledek na webu

<a href="https://iopscience.iop.org/article/10.1088/1742-6596/2667/1/012036" target="_blank" >https://iopscience.iop.org/article/10.1088/1742-6596/2667/1/012036</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1088/1742-6596/2667/1/012036" target="_blank" >10.1088/1742-6596/2667/1/012036</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Quasi-hermitian quantum mechanics and a new class of user-friendly matrix hamiltonians

Popis výsledku v původním jazyce

In the conventional Schrödinger&apos;s formulation of quantum mechanics the unitary evolution of a state ψ is controlled, in Hilbert space L, by a Hamiltonian h which must be self-adjoint. In the recent, &quot;quasi-Hermitian&quot;reformulation of the theory one replaces h by its isospectral but non-Hermitian avatar H = ω-1 o ω with ω†ω = Θ ≠ I. Although acting in another, manifestly unphysical Hilbert space H, the amended Hamiltonian H ≠ H † can be perceived as self-adjoint with respect to the amended inner-product metric Θ. In our paper motivated by a generic technical &quot;user-unfriendliness&quot;of the non-Hermiticity of H we introduce and describe a specific new family of Hamiltonians H for which the metrics Θ become available in closed form. © Published under licence by IOP Publishing Ltd.

Název v anglickém jazyce

Quasi-hermitian quantum mechanics and a new class of user-friendly matrix hamiltonians

Popis výsledku anglicky

In the conventional Schrödinger&apos;s formulation of quantum mechanics the unitary evolution of a state ψ is controlled, in Hilbert space L, by a Hamiltonian h which must be self-adjoint. In the recent, &quot;quasi-Hermitian&quot;reformulation of the theory one replaces h by its isospectral but non-Hermitian avatar H = ω-1 o ω with ω†ω = Θ ≠ I. Although acting in another, manifestly unphysical Hilbert space H, the amended Hamiltonian H ≠ H † can be perceived as self-adjoint with respect to the amended inner-product metric Θ. In our paper motivated by a generic technical &quot;user-unfriendliness&quot;of the non-Hermiticity of H we introduce and describe a specific new family of Hamiltonians H for which the metrics Θ become available in closed form. © Published under licence by IOP Publishing Ltd.

Druh

D - Stať ve sborníku

CEP obor

—

OECD FORD obor

10301 - Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2023

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

Journal of Physics: Conference Series

ISBN

—

ISSN

1742-6588

e-ISSN

1742-6596

Počet stran výsledku

7

Strana od-do

"Article number: 012036"

Název nakladatele

Institute of Physics

Místo vydání

Bristol

Místo konání akce

Prague

Datum konání akce

24. 7. 2023

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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