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 ◽

Author(s):

Víctor Barrera‐Figueroa ◽

Vladimir S. Rabinovich

Keyword(s):

Numerical Calculation ◽

Schrödinger Operators ◽

Schrodinger Operators ◽

Point Interactions ◽

One Dimensional ◽

Discrete Spectra

Download Full-text

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

Download Full-text

On the Negative Spectrum of One-Dimensional Schrödinger Operators with Point Interactions

Integral Equations and Operator Theory ◽

10.1007/s00020-010-1759-x ◽

2010 ◽

Vol 67 (1) ◽

pp. 1-14 ◽

Author(s):

N. Goloschapova ◽

L. Oridoroga

Keyword(s):

Schrödinger Operators ◽

Schrodinger Operators ◽

Point Interactions ◽

Negative Spectrum ◽

One Dimensional

Download Full-text

On the Degenerate Spectral Gaps of the One-Dimensional Schrödinger Operators with Periodic Point Interactions

SIAM Journal on Mathematical Analysis ◽

10.1137/100792184 ◽

2012 ◽

Vol 44 (4) ◽

pp. 2847-2870

Author(s):

Hiroaki Niikuni

Keyword(s):

Periodic Point ◽

Schrödinger Operators ◽

Schrodinger Operators ◽

Spectral Gaps ◽

Point Interactions ◽

One Dimensional ◽

Download Full-text

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 ◽

Author(s):

C.S. Christ ◽

G. Stolz

Keyword(s):

Spectral Theory ◽

Schrödinger Operators ◽

Schrodinger Operators ◽

Point Interactions ◽

One Dimensional

Download Full-text

One-dimensional Schrödinger operators with local point interactions.

Journal für die reine und angewandte Mathematik (Crelles Journal) ◽

10.1515/crll.1995.467.169 ◽

1995 ◽

Vol 1995 (467) ◽

pp. 169-186 ◽

Keyword(s):

Schrödinger Operators ◽

Schrodinger Operators ◽

Point Interactions ◽

One Dimensional ◽

Download Full-text

Uniqueness results for one-dimensional Schrödinger operators with purely discrete spectra

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-2012-05821-1 ◽

2012 ◽

Vol 365 (7) ◽

pp. 3923-3942 ◽

Author(s):

Jonathan Eckhardt ◽

Gerald Teschl

Keyword(s):

Schrödinger Operators ◽

Schrodinger Operators ◽

One Dimensional ◽

Uniqueness Results ◽

Discrete Spectra

Download Full-text

Spectral properties of one-dimensional Schrödinger operators with potentials generated by substitutions

Communications in Mathematical Physics ◽

10.1007/bf02097231 ◽

1993 ◽

Vol 158 (1) ◽

pp. 45-66 ◽

Author(s):

Anton Bovier ◽

Jean-Michel Ghez

Keyword(s):

Spectral Properties ◽

Schrödinger Operators ◽

Schrodinger Operators ◽

One Dimensional

Download Full-text

Reflection Probabilities of One-Dimensional Schrödinger Operators and Scattering Theory

Annales Henri Poincaré ◽

10.1007/s00023-016-0543-0 ◽

2017 ◽

Vol 18 (6) ◽

pp. 2075-2085 ◽

Author(s):

Benjamin Landon ◽

Annalisa Panati ◽

Jane Panangaden ◽

Justine Zwicker

Keyword(s):

Scattering Theory ◽

Schrödinger Operators ◽

Schrodinger Operators ◽

One Dimensional

Download Full-text

Semiclassical analysis of low and zero energy scattering for one-dimensional Schrödinger operators with inverse square potentials

Journal of Functional Analysis ◽

10.1016/j.jfa.2008.07.015 ◽

2008 ◽

Vol 255 (9) ◽

pp. 2321-2362 ◽

Author(s):

Ovidiu Costin ◽

Wilhelm Schlag ◽

Wolfgang Staubach ◽

Saleh Tanveer

Keyword(s):

Schrödinger Operators ◽

Schrodinger Operators ◽

Semiclassical Analysis ◽

Zero Energy ◽

One Dimensional ◽

Energy Scattering ◽

Inverse Square Potentials

Download Full-text

Bounds for the Points of Spectral Concentration of One-dimensional Schrödinger Operators

Spectral Methods for Operators of Mathematical Physics ◽

10.1007/978-3-0348-7947-7_8 ◽

2004 ◽

pp. 139-149

Author(s):

Daphne J. Gilbert ◽

Bernard J. Harris ◽

Suzanne M. Riehl

Keyword(s):

Schrödinger Operators ◽

Schrodinger Operators ◽

One Dimensional ◽

Spectral Concentration

Download Full-text