N. I. Goloschapova, L. L. Oridoroga, “The One-Dimensional Schrödinger Operator with Point $\delta$- and $\delta'$-Interactions”, Mat. Zametki, 84:1 (2008), 127–131; Math. Notes, 84:1 (2008), 125

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Matematicheskie Zametki, 2008, Volume 84, Issue 1, Pages 127–131
DOI: https://doi.org/10.4213/mzm4424 (Mi mzm4424)

This article is cited in 8 scientific papers (total in 8 papers)

Brief Communications

The One-Dimensional Schrödinger Operator with Point

δ

$\delta$ - and

$\delta'$ -Interactions

N. I. Goloschapova, L. L. Oridoroga^a

^a Donetsk National University

Full-text PDF (404 kB) Citations (8)

References:

PDF

HTML

DOI: https://doi.org/10.4213/mzm4424

Received: 29.12.2007

English version:
Mathematical Notes, 2008, Volume 84, Issue 1, Pages 125–129
DOI: https://doi.org/10.1134/S0001434608070110

Bibliographic databases:

Document Type: Article

UDC: one-dimensional Schr\"odinger operator,

$\delta$ function, point

$\delta$ - and

$\delta'$ -interactions, Weyl function, Sobolev space, boundary triple of an operator

Language: Russian

Citation: N. I. Goloschapova, L. L. Oridoroga, “The One-Dimensional Schrödinger Operator with Point

$\delta$ - and

$\delta'$ -Interactions”, Mat. Zametki, 84:1 (2008), 127–131; Math. Notes, 84:1 (2008), 125–129

Citation in format AMSBIB

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\pages 127--131

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\transl

\jour Math. Notes

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\pages 125--129

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Linking options:

https://www.mathnet.ru/eng/mzm4424

https://doi.org/10.4213/mzm4424

https://www.mathnet.ru/eng/mzm/v84/i1/p127

This publication is cited in the following 8 articles:

Cardone G., Khrabustovskyi A., “Delta `-Interaction as a Limit of a Thin Neumann Waveguide With Transversal Window”, J. Math. Anal. Appl., 473:2 (2019), 1320–1342
Erman F., “On the Number of Bound States of Semirelativistic Hamiltonian With Dirac Delta Potentials in One Dimension”, Can. J. Phys., 96:11 (2018), 1235–1241
Erman F., “On the number of bound states of point interactions on hyperbolic manifolds”, Int. J. Geom. Methods Mod. Phys., 14:1 (2017), 1750011
Yurii Kovalev, “To the theory of nonnegative point Hamiltonians on a plane and in the space”, J Math Sci, 204:3 (2015), 315
Pankrashkin K., Richard S., “Spectral and scattering theory for the Aharonov–Bohm operators”, Rev. Math. Phys., 23:1 (2011), 53–81
Higuchi Yu., Matsumoto T., Ogurisu O., “On the Spectrum of a Discrete Laplacian on Z with Finitely Supported Potential”, Linear Multilinear Algebra, 59:8 (2011), 917–927
Goloschapova N., Oridoroga L., “On the negative spectrum of one-dimensional Schrödinger operators with point interactions”, Integral Equations Operator Theory, 67:1 (2010), 1–14
E de Prunelé, “Critical points for a one-dimensional Schrödinger operator with finite number of point delta- interactions and number of eigenvalues”, J. Phys. A: Math. Theor., 43:28 (2010), 285303

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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References:	74
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