Non-self-adjoint Schrödinger operators with nonlocal one-point interactions
Result description
We generalize and study, within the framework of quantum mechanics and working with 1-dimensional, manifestly non-Hermitian Hamiltonians H = -d(2)/dx(2) + V, the traditional class of exactly solvable models with local point interactions V = V(x). We discuss the consequences of the use of nonlocal point interactions such that (Vf) (x) = integral K(x, s) f(s) ds by means of the suitably adapted formalism of boundary triplets.
Keywords
1-dimensional Schrodinger operatornonlocal one-point interactionsboundary triplet
The result's identifiers
Result code in IS VaVaI
Result on the web
DOI - Digital Object Identifier
Alternative languages
Result language
angličtina
Original language name
Non-self-adjoint Schrödinger operators with nonlocal one-point interactions
Original language description
We generalize and study, within the framework of quantum mechanics and working with 1-dimensional, manifestly non-Hermitian Hamiltonians H = -d(2)/dx(2) + V, the traditional class of exactly solvable models with local point interactions V = V(x). We discuss the consequences of the use of nonlocal point interactions such that (Vf) (x) = integral K(x, s) f(s) ds by means of the suitably adapted formalism of boundary triplets.
Czech name
—
Czech description
—
Classification
Type
Jimp - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
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
GA16-22945S: Quantum Wheeler-DeWitt equation and its unitary evolution interpretation
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Banach Journal of Mathematical Analysis
ISSN
1735-8787
e-ISSN
—
Volume of the periodical
11
Issue of the periodical within the volume
4
Country of publishing house
IR - IRAN, ISLAMIC REPUBLIC OF
Number of pages
22
Pages from-to
923-944
UT code for WoS article
000423613200011
EID of the result in the Scopus database
2-s2.0-85030639865
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
2017