Dirk Hundertmark

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All published works
Action Title Year Authors
+ PDF Chat Why a System of Three Bosons on Separate Lines Can Not Exhibit the Confinement Induced Efimov Effect 2024 Dirk Hundertmark
Michael Schulz
Semjon Vugalter
+ PDF Chat Absence of embedded eigenvalues of Pauli and Dirac operators 2023 Dirk Hundertmark
Hynek Kovařík
+ On the van der Waals interaction between a molecule and a half-infinite plate 2023 Ioannis Anapolitanos
Mariam Badalyan
Dirk Hundertmark
+ PDF Chat Absence of positive eigenvalues of magnetic Schrödinger operators 2023 Silvana Avramska-Lukarska
Dirk Hundertmark
Hynek Kovařík
+ PDF Chat Quantum systems at the brink: existence of bound states, critical potentials, and dimensionality 2023 Dirk Hundertmark
Michal Jex
Markus Lange
+ Quantum Systems at the Brink 2023 Dirk Hundertmark
Michal Jex
Markus Lange
+ Absence of embedded eigenvalues of Pauli and Dirac operators 2023 Dirk Hundertmark
Hynek Kovařík
+ PDF Chat Well–posedness of dispersion managed nonlinear Schrödinger equations 2022 Mi-Ran Choi
Dirk Hundertmark
Young-Ran Lee
+ PDF Chat Van der Waals–London interaction of atoms with pseudorelativistic kinetic energy 2022 Jean-Marie Barbaroux
M. Härtig
Dirk Hundertmark
Semjon Vugalter
+ PDF Chat Quantitative Bounds Versus Existence of Weakly Coupled Bound States for Schrödinger Type Operators 2022 Vu Hoang
Dirk Hundertmark
Johanna Richter
Semjon Vugalter
+ PDF Chat Cwikel’s bound reloaded 2022 Dirk Hundertmark
Peer Christian Kunstmann
Tobias Ried
Semjon Vugalter
+ Quantum Systems at The Brink 2022 Dirk Hundertmark
Michal Jex
Markus Lange
+ Quantum Systems at The Brink: Helium-type systems. 2021 Dirk Hundertmark
Michal Jex
Markus Lange
+ Quantum Systems at The Brink -- Existence and Decay Rates of Bound States at Thresholds; Critical Potentials and dimensionality 2021 Dirk Hundertmark
Michal Jex
Markus Lange
+ PDF Chat Out-of-equilibrium optomechanical resonance self-excitation 2021 Peter Milde
Malte Langenhorst
H. Hölscher
Jens Rottmann-Matthes
Dirk Hundertmark
Lukas M. Eng
R. Hoffmann
+ Counting bound states with maximal Fourier multipliers 2021 Dirk Hundertmark
Peer Christian Kunstmann
Tobias Ried
Semjon Vugalter
+ The Lieb–Thirring inequality revisited 2021 Rupert L. Frank
Dirk Hundertmark
Michal Jex
Phan Thành Nam
+ PDF Chat On the global well-posedness of the quadratic NLS on $$H^1({{\mathbb {T}}}) + L^2({{\mathbb {R}}})$$ 2021 Leonid Chaichenets
Dirk Hundertmark
Peer Christian Kunstmann
Nikolaos Pattakos
+ PDF Chat On the Asymptotic Dynamics of 2-D Magnetic Quantum Systems 2021 Esteban Felipe Molina Cardenas
Dirk Hundertmark
Edgardo Stockmeyer
Semjon Vugalter
+ Quantum Systems at the Brink: Existence of Bound States, Critical Potentials and Dimensionality 2021 Dirk Hundertmark
Michal Jex
Markus Lange
+ Quantum Systems at The Brink: Properties of Atomic Bound States at The Ionization Threshold 2020 Dirk Hundertmark
Michal Jex
Markus Lange
+ On the van der Waals interaction between a molecule and a half-infinite plate 2020 Ioannis Anapolitanos
Mariam Badalyan
Dirk Hundertmark
+ Correction to: Local Well-Posedness for the Nonlinear Schrödinger Equation in the Intersection of Modulation Spaces $$M_{p, q}^s({\mathbb {R}}^d) \cap M_{\infty , 1}({\mathbb {R}}^d)$$ 2020 Leonid Chaichenets
Dirk Hundertmark
Peer Christian Kunstmann
Nikolaos Pattakos
+ PDF Chat Local Well-Posedness for the Nonlinear Schrödinger Equation in the Intersection of Modulation Spaces $$M_{p, q}^s({\mathbb {R}}^d) \cap M_{\infty , 1}({\mathbb {R}}^d)$$ 2020 Leonid Chaichenets
Dirk Hundertmark
Peer Christian Kunstmann
Nikolaos Pattakos
+ Quantum Systems at The Brink: Properties of Atomic Bound States at The Ionization Threshold 2020 Dirk Hundertmark
Michal Jex
Markus Lange
+ Well-posedness of dispersion managed nonlinear Schrödinger equations 2020 Mi-Ran Choi
Dirk Hundertmark
Young-Ran Lee
+ Absence of positive eigenvalues of magnetic Schrödinger operators 2020 Silvana Avramska-Lukarska
Dirk Hundertmark
Hynek Kovařík
+ On the van der Waals interaction between a molecule and a half-infinite plate 2020 Ioannis Anapolitanos
Mariam Badalyan
Dirk Hundertmark
+ Quantum Systems at The Brink. Existence and Decay Rates of Bound States at Thresholds; Helium 2019 Dirk Hundertmark
Michal Jex
Markus Lange
+ PDF Chat Nonlinear Schrödinger equation, differentiation by parts and modulation spaces 2019 Leonid Chaichenets
Dirk Hundertmark
Peer Christian Kunstmann
Nikolaos Pattakos
+ PDF Chat Van der Waals-London interaction of atoms with pseudo-relativistic kinetic energy 2019 Jean-Marie Barbaroux
M. Härtig
Dirk Hundertmark
Semjon Vugalter
+ PDF Chat Knocking Out Teeth in One-Dimensional Periodic Nonlinear Schrödinger Equation 2019 Leonid Chaichenets
Dirk Hundertmark
Peer Christian Kunstmann
Nikolaos Pattakos
+ Quantum Systems at The Brink: Helium-type systems 2019 Dirk Hundertmark
Michal Jex
Markus Lange
+ Quantum Systems at The Brink. Existence and Decay Rates of Bound States at Thresholds; Atoms 2019 Dirk Hundertmark
Michal Jex
Markus Lange
+ The Lieb-Thirring inequality revisited 2018 Rupert L. Frank
Dirk Hundertmark
Michal Jex
Phan Thành Nam
+ Cwikel's bound reloaded 2018 Dirk Hundertmark
Peer Christian Kunstmann
Tobias Ried
Semjon Vugalter
+ The Lieb-Thirring inequality revisited 2018 Rupert L. Frank
Dirk Hundertmark
Michal Jex
Phan Thành Nam
+ PDF Chat Discrete diffraction managed solitons: Threshold phenomena and rapid decay for general nonlinearities 2017 Mi-Ran Choi
Dirk Hundertmark
Young-Ran Lee
+ PDF Chat Solitary waves in nonlocal NLS with dispersion averaged saturated nonlinearities 2017 Dirk Hundertmark
Young‐Ran Lee
Tobias Ried
Vadim Zharnitsky
+ Solitary waves in nonlocal NLS with dispersion averaged saturated nonlinearities 2017 Dirk Hundertmark
Young-Ran Lee
Tobias Ried
Vadim Zharnitsky
+ On the existence of global solutions of the one-dimensional cubic NLS for initial data in the modulation space<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mrow><mml:mi>M</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml:mi>q</mml:mi></mml:mrow></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mi mathvariant="double-struck">R</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math> 2017 Leonid Chaichenets
Dirk Hundertmark
Peer Christian Kunstmann
Nikolaos Pattakos
+ PDF Chat Derivation of the Hartree equation for compound Bose gases in the mean field limit 2017 Ioannis Anapolitanos
Michael Hott
Dirk Hundertmark
+ PDF Chat Gevrey Smoothing for Weak Solutions of the Fully Nonlinear Homogeneous Boltzmann and Kac Equations Without Cutoff for Maxwellian Molecules 2017 Jean-Marie Barbaroux
Dirk Hundertmark
Tobias Ried
Semjon Vugalter
+ PDF Chat Strong smoothing for the non-cutoff homogeneous Boltzmann equation for Maxwellian molecules with Debye-Yukawa type interaction 2017 Jean-Marie Barbaroux
Dirk Hundertmark
Tobias Ried
Semjon Vugalter
+ PDF Chat Why do Solutions of the Maxwell-Boltzmann Equation Tend to be Gaussians? A Simple Answer 2017 Dirk Hundertmark
Young-Ran Lee
+ PDF Chat Thresholds for Existence of Dispersion Management Solitons for General Nonlinearities 2017 Mi-Ran Choi
Dirk Hundertmark
Young-Ran Lee
+ Solitary waves in nonlocal NLS with dispersion averaged saturated nonlinearities 2017 Dirk Hundertmark
Young-Ran Lee
Tobias Ried
Vadim Zharnitsky
+ Existence and absence of weakly coupled bound states for Schr\"odinger type operators with arbitrary kinetic energies 2016 Vu Hoang
Dirk Hundertmark
Johanna Richter
Semjon Vugalter
+ Local well-posedness for the nonlinear Schr\"odinger equation in modulation spaces $M_{p,q}^{s}(\mathbb{R}^d)$ 2016 Leonid Chaichenets
Dirk Hundertmark
Peer Christian Kunstmann
Nikolaos Pattakos
+ Localwell-posedness for the nonlinear Schrödinger equation in modulation spaces Ms p;q(Rd) 2016 Leonid Chaichenets
Dirk Hundertmark
Peer Christian Kunstmann
Nikolaos Pattakos
+ Quantitative bounds versus existence of weakly coupled bound states for Schrödinger type operators 2016 Vu Hoang
Dirk Hundertmark
Johanna Richter
Semjon Vugalter
+ PDF Chat Exponential Decay of Dispersion-Managed Solitons for General Dispersion Profiles 2015 William R. Green
Dirk Hundertmark
+ Existence of dispersion management solitons for general nonlinearities 2015 Mi-Ran Choi
Dirk Hundertmark
Young-Ran Lee
+ Thresholds for Existence of dispersion management solitons for general nonlinearities 2015 Mi-Ran Choi
Dirk Hundertmark
Young-Ran Lee
+ Stability of dispersion managed solitons for vanishing average dispersion 2015 Dirk Hundertmark
Peer Christian Kunstmann
Roland Schnaubelt
+ Thresholds for Existence of dispersion management solitons for general nonlinearities 2015 Mi-Ran Choi
Dirk Hundertmark
Young-Ran Lee
+ Exponential Decay for dispersion managed solitons for general dispersion profiles 2012 William R. Green
Dirk Hundertmark
+ Exponential Decay for dispersion managed solitons for general dispersion profiles 2012 William R. Green
Dirk Hundertmark
+ PDF Chat Analyticity of extremizers to the Airy-Strichartz inequality 2011 Dirk Hundertmark
Shuanglin Shao
+ PDF Chat Super-Exponential Decay of Diffraction Managed Solitons 2011 Dirk Hundertmark
Young-Ran Lee
+ PDF Chat On Non-local Variational Problems with Lack of Compactness Related to Non-linear Optics 2011 Dirk Hundertmark
Young-Ran Lee
+ PDF Chat Exponential decay of dispersion managed solitons for vanishing average dispersion 2011 M. Burak Erdoğan
Dirk Hundertmark
Young-Ran Lee
+ Exponential decay of dispersion managed solitons for vanishing average dispersion 2010 M. Burak Erdoğan
Dirk Hundertmark
Young-Ran Lee
+ Exponential decay of dispersion managed solitons for vanishing average dispersion 2010 M. Burak Erdoğan
Dirk Hundertmark
Young-Ran Lee
+ PDF Chat Heat-flow monotonicity of Strichartz norms 2009 Jonathan Bennett
Neal Bez
Anthony Carbery
Dirk Hundertmark
+ PDF Chat A unified theoretical framework for fluctuating-charge models in atom-space and in bond-space 2008 Jiahao Chen
Dirk Hundertmark
Todd J. Martı́nez
+ PDF Chat Decay Estimates and Smoothness for Solutions of the Dispersion Managed Non-linear Schrödinger Equation 2008 Dirk Hundertmark
Young-Ran Lee
+ PDF Chat A Short Introduction to Anderson Localization 2008 Dirk Hundertmark
+ On Dispersion Managed Solitons 2008 Dirk Hundertmark
Young-Ran Lee
+ PDF Chat On inequalities of Hardy-Sobolev type 2008 Alexander Balinsky
W. D. Evans
Dirk Hundertmark
Roger T. Lewis
+ Heat-flow monotonicity of Strichartz norms 2008 Jonathan Bennett
Neal Bez
Anthony Carbery
Dirk Hundertmark
+ Super-exponential decay of Diffraction Managed Solitons 2008 Dirk Hundertmark
Young-Ran Lee
+ Decay estimates and smoothness for solutions of the dispersion managed non-linear Schrödinger equation 2008 Dirk Hundertmark
Young-Ran Lee
+ PDF Chat Eigenvalue bounds in the gaps of Schrödinger operators and Jacobi matrices 2007 Dirk Hundertmark
Barry Simon
+ PDF Chat Exponential decay of eigenfunctions and generalized eigenfunctions of a non-self-adjoint matrix Schrödinger operator related to NLS 2007 Dirk Hundertmark
Young-Ran Lee
+ Improved Hardy-Sobolev inequalities 2007 Alexander Balinsky
W. D. Evans
Dirk Hundertmark
Roger T. Lewis
+ Exponential decay of eigenfunctions and generalized eigenfunctions of a non self-adjoint matrix Schrödinger operator related to NLS 2007 Dirk Hundertmark
Young-Ran Lee
+ Some bound state problems in quantum mechanics 2007 Dirk Hundertmark
+ On sharp Strichartz inequalities in low dimensions 2006 Dirk Hundertmark
Vadim Zharnitsky
+ PDF Chat Bounds on the Spectral Shift Function and the Density of States 2005 Dirk Hundertmark
Rowan Killip
Shu Nakamura
Peter Stollmann
Ivan Veselić
+ Reflection symmetries and absence of eigenvalues for one-dimensional Schrödinger operators 2004 David Damanik
Dirk Hundertmark
+ PDF Chat A diamagnetic inequality for semigroup differences 2004 Dirk Hundertmark
Barry Simon
+ PDF Chat Variational Estimates for Discrete Schr�dinger Operators with Potentials of Indefinite Sign 2003 David Damanik
Dirk Hundertmark
Rowan Killip
Barry Simon
+ Bound states and the Szegő condition for Jacobi matrices and Schrödinger operators 2003 David Damanik
Dirk Hundertmark
Barry Simon
+ PDF Chat An optimalL p -bound on the Krein spectral shift function 2002 Dirk Hundertmark
Barry Simon
+ Lieb–Thirring Inequalities for Jacobi Matrices 2002 Dirk Hundertmark
Barry Simon
+ Bound States and the Szego Condition for Jacobi Matrices and Schrodinger Operators 2002 David Damanik
Dirk Hundertmark
Barry Simon
+ PDF Chat On the number of bound states for Schrödinger operators with operator-valued potentials 2002 Dirk Hundertmark
+ Classical magnetic Lifshits tails in three space dimensions: impurity potentials with slow anisotropic decay 2002 Dirk Hundertmark
Werner Kirsch
Simone Warzel
+ A sharp bound for an eigenvalue moment of the one-dimensional Schrödinger operator 2002 Dirk Hundertmark
Élliott H. Lieb
Lawrence E. Thomas
+ Bound States and the Szego Condition for Jacobi Matrices and Schrodinger Operators 2002 David Damanik
Dirk Hundertmark
Barry Simon
+ PDF Chat Finite-Volume Fractional-Moment Criteria¶for Anderson Localization 2001 Michael Aizenman
Jeffrey Schenker
R. Friedrich
Dirk Hundertmark
+ Lieb-Thirring Inequalities for Jacobi Matrices 2001 Dirk Hundertmark
Barry Simon
+ PDF Chat On the Time - Dependent Approach to Anderson Localization 2000 Dirk Hundertmark
+ PDF Chat New bounds on the Lieb-Thirring constants 2000 Dirk Hundertmark
Ари Лаптев
Timo Weidl
+ None 2000 Dirk Hundertmark
+ The Sharp Bound on the Stability¶of the Relativistic Electron-Positron Field¶in Hartree-Fock Approximation 2000 Dirk Hundertmark
Norbert Röhrl
Heinz Siedentop
+ PDF Chat Constructive fractional-moment criteria for localization in random operators 2000 Michael Aizenman
Jeffrey Schenker
R. Friedrich
Dirk Hundertmark
+ PDF Chat CONTINUITY PROPERTIES OF SCHRÖDINGER SEMIGROUPS WITH MAGNETIC FIELDS 2000 Kurt Broderix
Dirk Hundertmark
Hajo Leschke
+ Continuity properties of Schrödinger semigroups with magnetic fields 1998 Kurt Broderix
Dirk Hundertmark
Hajo Leschke
+ A sharp bound for an eigenvalue moment of the one-dimensional Schroedinger operator 1998 Dirk Hundertmark
Élliott H. Lieb
Lawrence E. Thomas
+ PDF Chat A sharp bound for an eigenvalue moment of the one-dimensional Schrödinger operator 1998 Dirk Hundertmark
Élliott H. Lieb
Lawrence E. Thomas
+ PDF Chat The fate of lifshits tails in magnetic fields 1995 Kurt Broderix
Dirk Hundertmark
Werner Kirsch
Hajo Leschke
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ Weak Type Estimates for Singular Values and the Number of Bound States of Schrodinger Operators 1977 Michael Ćwikel
16
+ Schrodinger Operators: With Application to Quantum Mechanics and Global Geometry 1987 Hans L. Cycon
Barry Simon
16
+ PDF Chat On Non-local Variational Problems with Lack of Compactness Related to Non-linear Optics 2011 Dirk Hundertmark
Young-Ran Lee
14
+ PDF Chat Decay Estimates and Smoothness for Solutions of the Dispersion Managed Non-linear Schrödinger Equation 2008 Dirk Hundertmark
Young-Ran Lee
13
+ PDF Chat Maximizers for the Strichartz Inequality 2007 Damiano Foschi
13
+ On a variational problem with lack of compactness related to the Strichartz inequality 2004 Markus Kunze
13
+ Inequalities for the Moments of the Eigenvalues of the Schrödinger Hamiltonian and Their Relation to Sobolev Inequalities 2006 Élliott H. Lieb
Walter Thirring
12
+ Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations 1977 Robert S. Strichartz
11
+ Stabilizing effects of dispersion management 2001 Vadim Zharnitsky
Emmanuel Grenier
Christopher K. R. T. Jones
Sergei K. Turitsyn
11
+ PDF Chat Bounds on the eigenvalues of the Laplace and Schroedinger operators 1976 Élliott H. Lieb
10
+ PDF Chat Oscillating tails of a dispersion-managed soliton 2004 Pavel M. Lushnikov
10
+ Bound for the Kinetic Energy of Fermions Which Proves the Stability of Matter 1975 Élliott H. Lieb
Walter Thirring
10
+ Brownian motion and harnack inequality for Schrödinger operators 1982 Michael Aizenman
Barry Simon
9
+ PDF Chat Exponential decay of dispersion managed solitons for vanishing average dispersion 2011 M. Burak Erdoğan
Dirk Hundertmark
Young-Ran Lee
9
+ PDF Chat Sharp Lieb-Thirring inequalities in high dimensions 2000 Ари Лаптев
Timo Weidl
8
+ On sharp Strichartz inequalities in low dimensions 2006 Dirk Hundertmark
Vadim Zharnitsky
8
+ Regularity of ground state solutions of dispersion managed nonlinear schrödinger equations 2004 Milena Stanislavova
8
+ Dirichlet and Neumann Eigenvalue Problems on Domains in Euclidean Spaces 1997 Ари Лаптев
7
+ A sharp bound for an eigenvalue moment of the one-dimensional Schrödinger operator 2002 Dirk Hundertmark
Élliott H. Lieb
Lawrence E. Thomas
7
+ Schrödinger semigroups 1982 Barry Simon
7
+ Lectures on exponential decay of solutions of second order elliptic equations : bounds on eigenfunctions of N-body Schrödinger operators 1983 Shmuel Agmon
7
+ PDF Chat On the Lieb-Thirring constantsL γ,1 for γ≧1/2 1996 Timo Weidl
7
+ Ground states for the higher-order dispersion managed NLS equation in the absence of average dispersion 2004 Markus Kunze
J. Moeser
Vadim Zharnitsky
7
+ Exponential decay and ionization thresholds in non-relativistic quantum electrodynamics 2003 Marcel Griesemer
7
+ The bound state of weakly coupled Schrödinger operators in one and two dimensions 1976 Barry Simon
6
+ On the Schr�dinger equation and the eigenvalue problem 1983 Peter Li
Shing Tung Yau
6
+ Asymptotic behaviour of eigenfunctions for multiparticle Schrödinger operators 1973 J. M. Combes
Lawrence E. Thomas
6
+ The Number of Bound States of One-Body Schroedinger Operators and the Weyl Problem 2002 Élliott H. Lieb
6
+ Trace Ideals and Their Applications 2010 Barry Simon
6
+ PDF Chat A new proof of the Cwikel-Lieb-Rosenblijum bound 1985 Joseph G. Conlon
6
+ Methods of Modern Mathematical Physics 1972 Michael C. Reed
Barry Simon
6
+ Studies in Mathematical Physics: Essays in Honor of Valentine Bargmann 2015 V. Bargmann
Élliott H. Lieb
Barry Simon
A. S. Wightman
5
+ The quantum N-body problem 2000 Walter Hunziker
Israel Michael Sigal
5
+ PDF Chat New bounds on the Lieb-Thirring constants 2000 Dirk Hundertmark
Ари Лаптев
Timo Weidl
5
+ Schrödinger operators with magnetic fields. I. general interactions 1978 J. E. Avron
Ira Herbst
Barry Simon
5
+ Schr�dinger operators with singular magnetic vector potentials 1981 Herbert Leinfelder
Christian G. Simader
5
+ Schrödinger operators with singular potentials 1972 Tosis Kato
5
+ Lieb–Thirring Inequalities for Jacobi Matrices 2002 Dirk Hundertmark
Barry Simon
5
+ PDF Chat Sum rules for Jacobi matrices and their applications to spectral theory 2003 Rowan Killip
Barry Simon
5
+ PDF Chat On the spectral distribution of the Schrödinger operator with random potential 1977 Shintaro Nakao
5
+ PDF Chat The global Cauchy problem for the non linear Schrödinger equation revisited 1985 J. Ginibre
G. Velo
5
+ PDF Chat Endpoint Strichartz estimates 1998 M. Keel
Terence Tao
5
+ Lower bounds for solutions of Schrödinger equations 1970 Shmuel Agmon
5
+ On semi-classical bounds for eigenvalues of Schrödinger operators 1978 Michael Aizenman
Élliott H. Lieb
5
+ Orthogonal polynomials from the viewpoint of scattering theory 1974 K. M. Case
4
+ PDF Chat A Refined Global Well-Posedness Result for Schrödinger Equations with Derivative 2002 J. Colliander
M. Keel
G. Staffilani
Hideo Takaoka
Terence Tao
4
+ PDF Chat Sur le spectre des opérateurs aux différences finies aléatoires 1980 Hervé Kunz
Bernard Souillard
4
+ Growth properties of solutions of the reduced wave equation with a variable coefficient 1959 Tosio Kato
4
+ Classical boundary conditions as a technical tool in modern mathematical physics 1978 Barry Simon
4
+ Lyapunov stability of ground states of nonlinear dispersive evolution equations 1986 Michael I. Weinstein
4