Quantum mechanics using two auxiliary inner products
Result description
The current applications of non-Hermitian but PT-symmetric Hamiltonians H cover several, mutually not too closely connected subdomains of quantum physics. Mathematically, the split between the open and closed systems can be characterized by the respective triviality and non-triviality of an auxiliary inner-product metric Theta = Theta(H). With our attention restricted to the latter, mathematically more interesting unitary-evolution case we show that the intuitive but technically decisive simplification of the theory achieved via an 'additional' PCT-symmetry constraint upon H can be given a deeper mathematical meaning via introduction of a certain second auxiliary inner product.
Keywords
Formulations of quantum mechanicsSchrodinger representationNon-Hermitian HamiltoniansPT- and PCT-symmetryPhysical and auxiliary inner products
The result's identifiers
Result code in IS VaVaI
Alternative codes found
RIV/62690094:18470/22:50018615
Result on the web
DOI - Digital Object Identifier
Alternative languages
Result language
angličtina
Original language name
Quantum mechanics using two auxiliary inner products
Original language description
The current applications of non-Hermitian but PT-symmetric Hamiltonians H cover several, mutually not too closely connected subdomains of quantum physics. Mathematically, the split between the open and closed systems can be characterized by the respective triviality and non-triviality of an auxiliary inner-product metric Theta = Theta(H). With our attention restricted to the latter, mathematically more interesting unitary-evolution case we show that the intuitive but technically decisive simplification of the theory achieved via an 'additional' PCT-symmetry constraint upon H can be given a deeper mathematical meaning via introduction of a certain second auxiliary inner product.
Czech name
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Czech description
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Classification
Type
Jimp - 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
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2022
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
421
Issue of the periodical within the volume
JAN
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
6
Pages from-to
127792
UT code for WoS article
000715094600006
EID of the result in the Scopus database
2-s2.0-85118130721
Basic information
Result type
Jimp - Article in a specialist periodical, which is included in the Web of Science database
OECD FORD
Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
Year of implementation
2022