Joachim Kerner

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All published works

Action	Title	Year	Authors
+ PDF Chat	Spectral comparison results for Laplacians on discrete graphs	2024	Patrizio Bifulco Joachim Kerner C. Rose
+ PDF Chat	The curious spectra and dynamics of non-locally finite crystals	2024	Joachim Kerner Olaf Post Mostafa Sabri Matthias Täufer
+	On the spectral gap of one-dimensional Schrödinger operators on large intervals	2024	Joachim Kerner Matthias Täufer
+ PDF Chat	A modified local Weyl law and spectral comparison results for $\delta'$-coupling conditions	2024	Patrizio Bifulco Joachim Kerner
+ PDF Chat	Some spectral comparison results on infinite quantum graphs	2024	Patrizio Bifulco Joachim Kerner
+ PDF Chat	Interacting many-particle systems in the random Kac–Luttinger model and proof of Bose–Einstein condensation	2024	Chiara Boccato Joachim Kerner Maximilian Pechmann
+ PDF Chat	A note on Ambarzumian’s theorem for quantum graphs	2024	Patrizio Bifulco Joachim Kerner
+ PDF Chat	Robustness of Flat Bands on the Perturbed Kagome and the Perturbed Super-Kagome Lattice	2023	Joachim Kerner Matthias Täufer Jens Wintermayr
+ PDF Chat	Comparing the spectrum of Schrödinger operators on quantum graphs	2023	Patrizio Bifulco Joachim Kerner
+ PDF Chat	Mini-Workshop: A Geometric Fairytale full of Spectral Gaps and Random Fruit	2023	Joachim Kerner Matthias Täufer Pavlo Yatsyna
+	Robustness of flat bands on the perturbed Kagome and the perturbed Super-Kagome lattice	2023	Joachim Kerner Matthias Täufer Jens Wintermayr
+	On some notions of surface area and connectivity for graphs	2023	Patrizio Bifulco Joachim Kerner
+	A note on Ambarzumian's theorem for quantum graphs	2023	Patrizio Bifulco Joachim Kerner
+	Some spectral comparison results on infinite quantum graphs	2023	Patrizio Bifulco Joachim Kerner
+	On Bose-Einstein condensation in interacting Bose gases in the Kac-Luttinger model	2023	Chiara Boccato Joachim Kerner Maximilian Pechmann
+ PDF Chat	Bose–Einstein condensation for particles with repulsive short-range pair interactions in a Poisson random external potential in	2022	Joachim Kerner Maximilian Pechmann
+ PDF Chat	Lower bounds on the spectral gap of one-dimensional Schrödinger operators	2022	Joachim Kerner
+ PDF Chat	On the spectral gap of higher-dimensional Schrödinger operators on large domains	2022	Joachim Kerner Matthias Täufer
+	Comparing the spectrum of Schrödinger operators on quantum graphs	2022	Patrizio Bifulco Joachim Kerner
+ PDF Chat	On the spectral gap of higher-dimensional Schr\"odinger operators on large domains	2021	Joachim Kerner Matthias Täufer
+	Bose--Einstein condensation for particles with repulsive short-range pair interactions in a Poisson random external potential in $\mathbb R^d$	2021	Joachim Kerner Maximilian Pechmann
+	A lower bound on the spectral gap of Schr\"odinger operators with weak potentials of compact support	2021	Joachim Kerner
+	A lower bound on the spectral gap of one-dimensional Schr\"odinger operators on large intervals	2021	Joachim Kerner
+	A lower bound on the spectral gap of one-dimensional Schr\"odinger operators	2021	Joachim Kerner
+	On the spectral gap of the path graph in the limit of large volume	2021	Joachim Kerner Pavlo Yatsyna
+	Bose--Einstein condensation for particles with repulsive short-range pair interactions in a Poisson random external potential in $\mathbb R^d$	2021	Joachim Kerner Maximilian Pechmann
+	A lower bound on the spectral gap of one-dimensional Schrödinger operators	2021	Joachim Kerner
+ PDF Chat	On the number of nodal domains on a rectangle with a slit	2021	Joachim Kerner
+ PDF Chat	Bound states of a pair of particles on the half-line with a general interaction potential	2020	Sebastian Egger Joachim Kerner Konstantin Pankrashkin
+	On the effect of repulsive pair interactions on Bose–Einstein condensation in the Luttinger–Sy model	2020	Joachim Kerner Maximilian Pechmann
+	On a condition for type-I Bose–Einstein condensation in random potentials in d dimensions	2020	Joachim Kerner Maximilian Pechmann Wolfgang Spitzer
+ PDF Chat	Impact of surface defects on a condensate of electron pairs in a quantum wire	2020	Joachim Kerner
+ PDF Chat	О влиянии поверхностных дефектов на конденсат электронных пар в квантовом проводе	2020	Иоахим Кернер Joachim Kerner
+ PDF Chat	Many-Particle Quantum Graphs: A Review	2020	Jens Bolte Joachim Kerner
+ PDF Chat	On the number of isolated eigenvalues of a pair of particles on the half-line	2020	Joachim Kerner
+	On the spectral gap of one-dimensional Schrödinger operators on large intervals	2020	Joachim Kerner Matthias Täufer
+ PDF Chat	Discrete spectrum of Schrödinger operators with potentials concentrated near conical surfaces	2019	Sebastian Egger Joachim Kerner Konstantin Pankrashkin
+ PDF Chat	Attractive conical surfaces create infinitely many bound states	2019	Sebastian Egger Joachim Kerner Konstantin Pankrashkin
+ PDF Chat	On Bound Electron Pairs on the Half-Line	2019	Joachim Kerner
+ PDF Chat	Bose–Einstein Condensation in the Luttinger–Sy Model with Contact Interaction	2019	Joachim Kerner Maximilian Pechmann Wolfgang Spitzer
+ PDF Chat	On Bose–Einstein Condensation in the Luttinger–Sy Model with Finite Interaction Strength	2019	Joachim Kerner Maximilian Pechmann Wolfgang Spitzer
+ PDF Chat	A remark on the effect of random singular two-particle interactions	2019	Joachim Kerner
+ PDF Chat	On Lennard-Jones-type potentials on the half-line	2018	Federica Gregorio Joachim Kerner
+ PDF Chat	On pairs of interacting electrons in a quantum wire	2018	Joachim Kerner
+	On the Lennard-Jones potential in one dimension	2018	Federica Gregorio Joachim Kerner
+	Der Konvergenzsatz von Cauchy-Cesáro-Dirichlet für lokalkonvexe Vektorräume	2018	Eugen Grycko Joachim Kerner Werner Kirsch
+	On surface defects and their impact on the superconducting phase in quantum wires	2017	Joachim Kerner
+ PDF Chat	On the impact of surface defects on a condensate of electron pairs in a quantum wire	2017	Joachim Kerner
+ PDF Chat	Remarks on the numerical range with respect to a family of projections	2017	Waed Dada Joachim Kerner
+ PDF Chat	On a two-particle bound system on the half-line	2017	Joachim Kerner Tobias Mühlenbruch
+ PDF Chat	Scattering properties of two singularly interacting particles on the half-line	2017	Sebastian Egger Joachim Kerner
+ PDF Chat	On a non-separable quantum many-particle system on the half-line	2017	Joachim Kerner Tobias Mühlenbruch
+ PDF Chat	Two interacting particles on the half-line: resolvent and scattering properties	2017	Sebastian Egger Joachim Kerner
+	On a non-separable quantum many-particle system on the half-line	2017	Joachim Kerner Tobias Mühlenbruch
+ PDF Chat	Instability of Bose-Einstein condensation into the one-particle ground state on quantum graphs under repulsive perturbations	2016	Jens Bolte Joachim Kerner
+ PDF Chat	Two interacting particles on the half-line	2016	Joachim Kerner Tobias Mühlenbruch
+	Numerical range with respect to a family of projections	2016	Waed Dada N. Erkurşun Joachim Kerner
+ PDF Chat	Bose-Einstein condensation on quantum graphs	2014	Jens Bolte Joachim Kerner
+ PDF Chat	Many-particle quantum graphs and Bose-Einstein condensation	2014	Jens Bolte Joachim Kerner
+ PDF Chat	Quantum graphs with singular two-particle interactions	2013	Jens Bolte Joachim Kerner
+ PDF Chat	Quantum graphs with two-particle contact interactions	2013	Jens Bolte Joachim Kerner

Common Coauthors

Coauthor	Papers Together
Maximilian Pechmann	9
Patrizio Bifulco	8
Matthias Täufer	8
Jens Bolte	6
Sebastian Egger	5
Tobias Mühlenbruch	4
Wolfgang Spitzer	3
Konstantin Pankrashkin	3
Federica Gregorio	2
Pavlo Yatsyna	2
Jens Wintermayr	2
Chiara Boccato	2
Waed Dada	2
Werner Kirsch	1
Eugen Grycko	1
Olaf Post	1
Иоахим Кернер	1
N. Erkurşun	1
Mostafa Sabri	1
Patrizio Bifulco	1
C. Rose	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Quantum graphs with singular two-particle interactions	2013	Jens Bolte Joachim Kerner	12
+ PDF Chat	Quantum graphs with two-particle contact interactions	2013	Jens Bolte Joachim Kerner	12
+ PDF Chat	Two interacting particles on the half-line	2016	Joachim Kerner Tobias Mühlenbruch	8
+ PDF Chat	On a two-particle bound system on the half-line	2017	Joachim Kerner Tobias Mühlenbruch	8
+ PDF Chat	Proof of Bose-Einstein Condensation for Dilute Trapped Gases	2002	Élliott H. Lieb Robert Seiringer	8
+	Caught by Disorder: Bound States in Random Media	2001	Peter Stollmann	8
+ PDF Chat	The Trace Formula for Quantum Graphs with General Self Adjoint Boundary Conditions	2009	Jens Bolte Sebastian Egger	7
+	Statistical Mechanics: Rigorous Results	1969	David Ruelle	7
+ PDF Chat	On pairs of interacting electrons in a quantum wire	2018	Joachim Kerner	7
+ PDF Chat	Quantum graphs: Applications to quantum chaos and universal spectral statistics	2006	Sven Gnutzmann∥ Uzy Smilansky	7
+	Quantum graphs: I. Some basic structures	2004	Peter Kuchment	7
+	Bose‐Einstein condensation in the presence of impurities	1973	Mark Kac J. M. Luttinger	7
+ PDF Chat	On Bound Electron Pairs on the Half-Line	2019	Joachim Kerner	6
+ PDF Chat	Proof of Bose–Einstein condensation for interacting gases with a one-particle spectral gap	2003	J. Lauwers A. Verbeure Valentin A. Zagrebnov	6
+	Bose-Einstein Condensation in the Luttinger-Sy Model	2006	O. Lenoble Valentin A. Zagrebnov	6
+	The Mathematics of the Bose Gas and its Condensation	2005	Elliott H. Lieb	6
+ PDF Chat	Bose–Einstein condensation in random potentials	2004	O. Lenoble L. А. Pastur Valentin A. Zagrebnov	6
+	On a condition for type-I Bose–Einstein condensation in random potentials in d dimensions	2020	Joachim Kerner Maximilian Pechmann Wolfgang Spitzer	6
+ PDF Chat	Long-lived resonances at mirrors	2016	Friedemann Queißer W. G. Unruh	6
+ PDF Chat	Optimal lower bound for the gap between the first two eigenvalues of one-dimensional Schrödinger operators with symmetric single-well potentials	1989	Mark S. Ashbaugh Rafael D. Benguria	5
+ PDF Chat	Two particles on a star graph, II	2008	M. Harmer	5
+ PDF Chat	Solvable quantum two-body problem: entanglement	2005	M. L. Glasser L. M. Nieto	5
+ PDF Chat	Bose–Einstein Condensation in the Luttinger–Sy Model with Contact Interaction	2019	Joachim Kerner Maximilian Pechmann Wolfgang Spitzer	5
+ PDF Chat	Two particles on a star graph, I	2007	M. Harmer	5
+	Reduced density matrices and Bose-Einstein condensation	2007	Alessandro Michelangeli	5
+ PDF Chat	Elliptic Partial Differential Equations of Second Order	2001	David Gilbarg Neil S. Trudinger	5
+ PDF Chat	One dimensional bosons: From condensed matter systems to ultracold gases	2011	Miguel A. Cazalilla R. Citro T. Giamarchi E. Orignac Marcos Rigol	5
+	On existence of a bound state in an L-shaped waveguide	1989	Pavel Exner P. Šeba P. Šťovı́ček	5
+ PDF Chat	Many-particle quantum graphs and Bose-Einstein condensation	2014	Jens Bolte Joachim Kerner	5
+ PDF Chat	The eigenvalue gap for one-dimensional convex potentials	1994	Richard Lavine	5
+ PDF Chat	Disordered Bose–Einstein condensates with interaction in one dimension	2012	Robert Seiringer Jakob Yngvason Valentin A. Zagrebnov	5
+ PDF Chat	Heat-kernel and Resolvent Asymptotics for Schrodinger Operators on Metric Graphs	2014	Jens Bolte Sebastian Egger Ralf Rueckriemen	4
+ PDF Chat	The Heat Kernel on the Diagonal for a Compact Metric Graph	2022	David Borthwick Evans M. Harrell Kenny Jones	4
+	Universal lower bounds on eigenvalue splittings for one dimensional Schr�dinger operators	1985	Werner Kirsch Barry Simon	4
+	On the spectral gap in the Kac–Luttinger model and Bose–Einstein condensation	2023	Alain‐Sol Sznitman	4
+ PDF Chat	Instability of Bose-Einstein condensation into the one-particle ground state on quantum graphs under repulsive perturbations	2016	Jens Bolte Joachim Kerner	4
+	Unbounded Self-adjoint Operators on Hilbert Space	2012	Konrad Schmüdgen	4
+	Two-body scattering on a graph and application to simple nanoelectronic devices	1995	Yu. B. Melnikov B. S. Pavlov	4
+ PDF Chat	Nonextensive Bose–Einstein condensation model	1999	Tom Michoel A. Verbeure	4
+ PDF Chat	The gap between the first two eigenvalues of a one-dimensional Schrödinger operator with symmetric potential	1991	Shoshana Abramovich	4
+ PDF Chat	On the nature of Bose–Einstein condensation enhanced by localization	2010	Thomas Jaeck J. V. Pulè Valentin A. Zagrebnov	4
+ PDF Chat	Lifshitz tails for periodic plus random potentials	1986	Werner Kirsch Barry Simon	4
+ PDF Chat	Kirchhoff's rule for quantum wires	1999	Vadim Kostrykin Robert Schrader	4
+	On condensation in the free-boson gas and the spectrum of the Laplacian	1983	M. van den Berg	4
+	Comparison theorems for the gap of Schrödinger òperators	1987	Werner Kirsch Barry Simon	4
+ PDF Chat	Differences Between Robin and Neumann Eigenvalues	2021	Zeév Rudnick Igor Wigman Nadav Yesha	4
+	Periodic Orbit Theory and Spectral Statistics for Quantum Graphs	1999	Tsampikos Kottos Uzy Smilansky	3
+	Methods of Modern Mathematical Physics	1972	Michael C. Reed Barry Simon	3
+ PDF Chat	Scattering properties of two singularly interacting particles on the half-line	2017	Sebastian Egger Joachim Kerner	3
+ PDF Chat	An inverse spectral theorem	2013	E. B. Davies	3