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

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F23%3A00581037" target="_blank" >RIV/61389005:_____/23:00581037 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1088/1742-6596/2667/1/012036" target="_blank" >https://doi.org/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>

Result language
angličtina
Original language name
Quasi-hermitian quantum mechanics and a new class of user-friendly matrix hamiltonians
Original language description
In the conventional Schrödinger's formulation of quantum mechanics the unitary evolution of a state ψ is controlled, in Hilbert spaceL, by a Hamiltonian ɧ which must be self-adjoint. In the recent, 'quasi-Hermitian' reformulation of the theory one replaces ɧ by its isospectral but non-Hermitian avatar H = Ω−1 ????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 'user-unfriendliness' 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.
Czech name
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Czech description
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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