Schr��dinger operators with many bound states (original) (raw)

Exponential bounds and absence of positive eigenvalues forN-body Schr�dinger operators

Ira Herbst

Communications in Mathematical Physics, 1982

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Variational estimates for discrete Schr��dinger operators with potentials of indefinite sign

David Damanik

2003

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On negative eigenvalues of low-dimensional Schr\"{o}dinger operators

B. Vainberg

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A lower bound for the number of negative eigenvalues of Schr "{o}dinger operators

Yannick Sire

2014

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On the number of bound states for Schrödinger operators with operator-valued potentials

Dirk Hundertmark

Arkiv för Matematik, 2002

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An inverse spectral problem for a Schr dinger operator with an unbounded potential

Patricia Gaitan

Inverse Problems, 2003

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Estimates for negative eigenvalues of a random Schr�dinger operator

B. Vainberg

Proc Amer Math Soc, 2008

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Exponential bounds and semi-finiteness of point spectrum forN-body Schr�dinger operators

Peter Perry

Communications in Mathematical Physics, 1984

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L 2-exponential lower bounds to solutions of the Schr�dinger equation

Ira Herbst

Communications in Mathematical Physics, 1982

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SPECTRAL BOUNDS FOR THE HELLMANN AND MIE POTENTIALS

AYOOLUWA OLAKUNLE ODUFOWORA

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Estimates for negative eigenvalues of a random Schrödinger operator

B. Vainberg

Proceedings of the American Mathematical Society, 2008

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Two-sided eigenvalue bounds for the spherically symmetric states of the Schrödinger equation

Agacik Zafer

Journal of Computational and Applied Mathematics, 1998

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On the essential spectrum of Schr�dinger operators with spherically symmetric potentials

Andreas Hinz

Mathematische Annalen, 1987

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On the spectral estimates for the Schr\

Grigori Rozenblioum

2009

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The spectral bound of Schrödinger operators

Wolfgang Arendt

Potential Analysis, 1996

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Improved energy bounds for Schrödinger operators

Giuseppe Buttazzo

Calculus of Variations and Partial Differential Equations, 2014

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On spectral theory for Schr�dinger operators with strongly singular potentials

Fritz Gesztesy

Math Nachr, 2006

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On the lower bound of spectrum of the Schrödinger’s operator for some multi-particle systems

abdumalik rakhimov

2016

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On the spectral estimates for the Schrödinger operator on ℤ d , d ≽ 3

Grigori Rozenblioum

Journal of Mathematical Sciences, 2009

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On the absence of positive eigenvalues for one-body Schrödinger operators

Richard Froese, Thomas Hoffmann-Ostenhof

Journal d'Analyse Mathématique, 1982

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On negative eigenvalues of the discrete schrödinger operator with non-local potential

Zahriddin Muminov

2018

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Bound states of discrete Schrodinger operators with super-critical inverse square potentials

David Damanik

2007

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On spectral estimates for the Schrödinger operators in global dimension 2

Grigori Rozenblioum

St Petersburg Mathematical Journal, 2014

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Some bound state problems in quantum mechanics

Dirk Hundertmark

Spectral Theory and Mathematical Physics: A Festschrift in Honor of Barry Simon’s 60th Birthday, 2007

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Spectral asymptotics for Schrödinger operators with a degenerate potential

Pavel Kurasov

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Estimates for the number of eigenvalues of two dimensional Schrödinger operators lying below the essential spectrum

Martin Karuhanga

arXiv: Spectral Theory, 2016

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Half-line Schr��dinger operators with no bound states

Erik Pedersen

Acta Mathematica, 2004

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On estimates for the number of negative eigenvalues of two-dimensional Schrödinger operators with potentials supported by Lipschitz curves

Martin Karuhanga

Journal of Mathematical Analysis and Applications, 2017

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On negative eigenvalues of two-dimensional Schrödinger operators with singular potentials

Martin Karuhanga

Journal of Mathematical Physics, 2020

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Counting negative eigenvalues of one-dimensional Schrodinger operators with singular potentials

Martin Karuhanga

Gulf Journal of Mathematics

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SCHRODINGER OPERATORS WITH POTENTIAL

Helge Krüger

2010

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A bound for ratios of eigenvalues of Schrödinger operators with single-well potentials

Miklos Horvath

Proceedings of the American Mathematical Society, 2005

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Optimal bounds for ratios of eigenvalues of one-dimensional Schr�dinger operators with Dirichlet boundary conditions and positive potentials

Rafael Benguria

Communications in Mathematical Physics, 1989

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