Infinite-dimensional Hamiltonian systems associated with matrix Schrödinger operators

E. Olmedilla; L. Martínez; F. Guil

doi:10.1007/bf02721702

Infinite-dimensional Hamiltonian systems associated with matrix Schrödinger operators

Il Nuovo Cimento B ◽

10.1007/bf02721702 ◽

1981 ◽

Vol 61 (1) ◽

pp. 49-61 ◽

Cited By ~ 16

Author(s):

E. Olmedilla ◽

L. Martínez ◽

F. Guil

Keyword(s):

Hamiltonian Systems ◽

Schrödinger Operators ◽

Schrodinger Operators ◽

Infinite Dimensional

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Modified Hamiltonian systems and canonical transformations arising from the relationship between generalized Zakharov–Shabat and energy‐dependent Schrödinger operators

Journal of Mathematical Physics ◽

10.1063/1.524811 ◽

1981 ◽

Vol 22 (11) ◽

pp. 2497-2503 ◽

Cited By ~ 6

Author(s):

L. Martínez Alonso ◽

F. Guil Guerrero

Keyword(s):

Hamiltonian Systems ◽

Schrödinger Operators ◽

Schrodinger Operators ◽

Canonical Transformations ◽

Energy Dependent ◽

The Relationship

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The Trace Formula for Schrödinger Operators from Infinite Dimensional Oscillatory Integrals

Mathematische Nachrichten ◽

10.1002/mana.19961820103 ◽

1996 ◽

Vol 182 (1) ◽

pp. 21-65 ◽

Cited By ~ 8

Author(s):

Sergio Albeverio ◽

Anne Boutet De Monvel-Berthier ◽

Zdzislaw Brzeźniak

Keyword(s):

Trace Formula ◽

Schrödinger Operators ◽

Oscillatory Integrals ◽

Schrodinger Operators ◽

Infinite Dimensional

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Absolutely continuous spectrum of one-dimensional random Schrödinger operators and hamiltonian systems

Lecture Notes in Mathematics - Probability Theory and Mathematical Statistics ◽

10.1007/bfb0078474 ◽

1988 ◽

pp. 195-205

Author(s):

S. Kotani

Keyword(s):

Continuous Spectrum ◽

Hamiltonian Systems ◽

Schrödinger Operators ◽

Random Schrödinger Operators ◽

Schrodinger Operators ◽

Absolutely Continuous Spectrum ◽

Absolutely Continuous ◽

One Dimensional

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Energy dependent Schrödinger operators and complex Hamiltonian systems on Riemann surfaces

Nonlinearity ◽

10.1088/0951-7715/10/1/015 ◽

1997 ◽

Vol 10 (1) ◽

pp. 223-241 ◽

Cited By ~ 11

Author(s):

Mark S Alber ◽

Gregory G Luther ◽

Jerrold E Marsden

Keyword(s):

Hamiltonian Systems ◽

Riemann Surfaces ◽

Schrödinger Operators ◽

Schrodinger Operators ◽

Energy Dependent

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Scale-free and quantitative unique continuation for infinite dimensional spectral subspaces of Schrödinger operators

Communications on Pure & Applied Analysis ◽

10.3934/cpaa.2017083 ◽

2017 ◽

Vol 16 (5) ◽

pp. 1719-1730 ◽

Cited By ~ 3

Author(s):

Matthias Täufer ◽

◽

Martin Tautenhahn ◽

Keyword(s):

Schrödinger Operators ◽

Unique Continuation ◽

Schrodinger Operators ◽

Scale Free ◽

Infinite Dimensional ◽

Quantitative Unique Continuation ◽

Spectral Subspaces

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Asymptotics for the Number of Negative Eigenvalues of Three-Body Schrödinger Operators with Efimov Effect

Spectral and Scattering Theory and Applications ◽

10.2969/aspm/02310311 ◽

2018 ◽

Cited By ~ 9

Author(s):

Hideo Tamura

Keyword(s):

Schrödinger Operators ◽

Schrodinger Operators ◽

Efimov Effect ◽

Negative Eigenvalues ◽

Three Body

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Weyl formulae for Schrödinger operators with critically singular potentials

Communications in Partial Differential Equations ◽

10.1080/03605302.2021.1925915 ◽

2021 ◽

pp. 1-46

Author(s):

Xiaoqi Huang ◽

Christopher D. Sogge

Keyword(s):

Schrödinger Operators ◽

Schrodinger Operators ◽

Singular Potentials

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Coincidence of weighted Hardy spaces associated with higher-order Schrödinger operators

Bulletin des Sciences Mathématiques ◽

10.1016/j.bulsci.2021.103031 ◽

2021 ◽

pp. 103031

Author(s):

Trong Ngoc Nguyen ◽

Truong Xuan Le ◽

Tan Duc Do

Keyword(s):

Hardy Spaces ◽

Schrödinger Operators ◽

Higher Order ◽

Schrodinger Operators ◽

Weighted Hardy Spaces

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Existence of the Gauge for Fractional Laplacian Schrödinger Operators

Journal of Geometric Analysis ◽

10.1007/s12220-020-00576-y ◽

2021 ◽

Author(s):

Michael W. Frazier ◽

Igor E. Verbitsky

Keyword(s):

Fractional Laplacian ◽

Schrödinger Operators ◽

Schrodinger Operators

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Absence of Eigenvalues of Analytic Quasi-Periodic Schrödinger Operators on $${\mathbb {R}}^d$$

Communications in Mathematical Physics ◽

10.1007/s00220-021-04174-z ◽

2021 ◽

Author(s):

Yunfeng Shi

Keyword(s):

Schrödinger Operators ◽

Schrodinger Operators

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