Spectral theory of Schrödinger operators with infinitely many point interactions and radial positive definite functions

Mark M. Malamud; Konrad Schmüdgen

doi:10.1016/j.jfa.2012.07.019

Spectral theory of Schrödinger operators with infinitely many point interactions and radial positive definite functions

Journal of Functional Analysis ◽

10.1016/j.jfa.2012.07.019 ◽

2012 ◽

Vol 263 (10) ◽

pp. 3144-3194 ◽

Cited By ~ 15

Author(s):

Mark M. Malamud ◽

Konrad Schmüdgen

Keyword(s):

Spectral Theory ◽

Schrödinger Operators ◽

Positive Definite ◽

Positive Definite Functions ◽

Schrodinger Operators ◽

Point Interactions

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Radial positive definite functions and spectral theory of the Schrödinger operators with point interactions

Mathematische Nachrichten ◽

10.1002/mana.201100132 ◽

2012 ◽

Vol 285 (14-15) ◽

pp. 1839-1859 ◽

Cited By ~ 4

Author(s):

N. Goloshchapova ◽

M. Malamud ◽

V. Zastavnyi

Keyword(s):

Spectral Theory ◽

Schrödinger Operators ◽

Positive Definite ◽

Positive Definite Functions ◽

Schrodinger Operators ◽

Point Interactions

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Spectral Theory of One-Dimensional Schrödinger Operators with Point Interactions

Journal of Mathematical Analysis and Applications ◽

10.1006/jmaa.1994.1218 ◽

1994 ◽

Vol 184 (3) ◽

pp. 491-516 ◽

Cited By ~ 21

Author(s):

C.S. Christ ◽

G. Stolz

Keyword(s):

Spectral Theory ◽

Schrödinger Operators ◽

Schrodinger Operators ◽

Point Interactions ◽

One Dimensional

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Radiation conditions and spectral theory for 2-body Schrödinger operators with “oscillating” long-range potentials III

Journal of Mathematics of Kyoto University ◽

10.1215/kjm/1250521982 ◽

1981 ◽

Vol 21 (3) ◽

pp. 605-618 ◽

Cited By ~ 4

Author(s):

Kiyoshi Mochizuki ◽

Jun Uchiyama

Keyword(s):

Long Range ◽

Spectral Theory ◽

Schrödinger Operators ◽

Schrodinger Operators ◽

Radiation Conditions

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Value distribution and spectral theory of Schrödinger operators with L2-sparse potentials

Journal of Computational and Applied Mathematics ◽

10.1016/s0377-0427(02)00587-3 ◽

2002 ◽

Vol 148 (1) ◽

pp. 307-322

Author(s):

S.V. Breimesser ◽

James D.E. Grant ◽

D.B. Pearson

Keyword(s):

Spectral Theory ◽

Schrödinger Operators ◽

Value Distribution ◽

Schrodinger Operators ◽

Sparse Potentials

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Schrödinger operators with nonlocal point interactions

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2006.10.070 ◽

2007 ◽

Vol 332 (2) ◽

pp. 884-895 ◽

Cited By ~ 11

Author(s):

Sergio Albeverio ◽

Leonid Nizhnik

Keyword(s):

Schrödinger Operators ◽

Schrodinger Operators ◽

Point Interactions

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A power series analysis of bound and resonance states of one-dimensional Schrödinger operators with finite point interactions

Applied Mathematics and Computation ◽

10.1016/j.amc.2021.126774 ◽

2022 ◽

Vol 417 ◽

pp. 126774

Author(s):

Víctor Barrera-Figueroa

Keyword(s):

Power Series ◽

Schrödinger Operators ◽

Schrodinger Operators ◽

Point Interactions ◽

Finite Point ◽

Resonance States ◽

One Dimensional ◽

Series Analysis

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Numerical calculation of the discrete spectra of one‐dimensional Schrödinger operators with point interactions

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.5444 ◽

2018 ◽

Vol 42 (15) ◽

pp. 5072-5093 ◽

Cited By ~ 4

Author(s):

Víctor Barrera‐Figueroa ◽

Vladimir S. Rabinovich

Keyword(s):

Numerical Calculation ◽

Schrödinger Operators ◽

Schrodinger Operators ◽

Point Interactions ◽

One Dimensional ◽

Discrete Spectra

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Uniqueness theorems in inverse spectral theory for one-dimensional Schrödinger operators

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-96-01525-5 ◽

1996 ◽

Vol 348 (1) ◽

pp. 349-373 ◽

Cited By ~ 46

Author(s):

F. Gesztesy ◽

B. Simon

Keyword(s):

Spectral Theory ◽

Schrödinger Operators ◽

Schrodinger Operators ◽

Uniqueness Theorems ◽

One Dimensional ◽

Inverse Spectral Theory ◽

Inverse Spectral

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Spectral Theory of Random Schrödinger Operators

10.1007/978-1-4612-4488-2 ◽

1990 ◽

Cited By ~ 297

Author(s):

René Carmona ◽

Jean Lacroix

Keyword(s):

Spectral Theory ◽

Schrödinger Operators ◽

Random Schrödinger Operators ◽

Schrodinger Operators

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Spectral Theory of Semibounded Schrödinger Operators with δ′-Interactions

Annales Henri Poincaré ◽

10.1007/s00023-013-0245-9 ◽

2013 ◽

Vol 15 (3) ◽

pp. 501-541 ◽

Cited By ~ 5

Author(s):

Aleksey Kostenko ◽

Mark Malamud

Keyword(s):

Spectral Theory ◽

Schrödinger Operators ◽

Schrodinger Operators

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