Quantum Dynamics and Spectral Theory
June 10 - June 14, 2024
Since the early days of mathematical quantum theory, it has been known that quantum dynamics and spectral theory are inseparably linked to each other.
Indeed, apart from spectral theory there are natural connections of the subject to harmonic analysis, theory of oscillatory integrals or scattering theory. In fact, the diversity of topics and methods in spectral theory has led to the existence of various sub-areas, and while many methods and ideas from the study of one topic may be relevant to that of another, this is not always clear to specializing researchers. This conference aims towards rectifying this situation, bringing together experts and students from three central areas of spectral theory, where we believe useful connections can be made and where a creative research environment can be promoted.
Seminars Scroll to the next upcoming seminar
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Ari Laptev: A sharp Lieb-Thirring inequality for functional difference operators June 10 10:00 - 10:50 -
Jonathan Rohleder: Spectral inequalities for Laplacian and curl-curl eigenvalue June 10 11:20 - 12:10 Jonathan Rohleder: Spectral inequalities for Laplacian and curl-curl eigenvalue
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Dirk Hundertmark: Quantum systems at The Brink: Sharp bounds. The asymptotic behavior of bound states. June 10 14:00 - 14:50 Dirk Hundertmark: Quantum systems at The Brink: Sharp bounds. The asymptotic behavior of bound states.
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Marvin Schulz: On the Maximal Excess Charge of Atoms June 10 14:50 - 15:15 Marvin Schulz: On the Maximal Excess Charge of Atoms
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Arne Jensen: Resolvent expansions for the three dimensional magnetic Schrödinger and Pauli operators. June 10 15:45 - 16:35 Arne Jensen: Resolvent expansions for the three dimensional magnetic Schrödinger and Pauli operators.
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Matthias Baur: Optimization of Eigenvalues of the planar magnetic Dirichelt Laplacian June 10 16:35 - 17:00 Matthias Baur: Optimization of Eigenvalues of the planar magnetic Dirichelt Laplacian
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David Damanik: Generic spectral properties of ergodic Schroedinger operators June 11 09:00 - 09:50 David Damanik: Generic spectral properties of ergodic Schroedinger operators
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Alain Joye: Quantum Reset Models: Dynamics, Steady States and Entropy Production June 11 09:50 - 10:40 Alain Joye: Quantum Reset Models: Dynamics, Steady States and Entropy Production
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Milivoje Lukic: Universality limits via canonical systems June 11 11:10 - 12:00 Milivoje Lukic: Universality limits via canonical systems
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Jean Marie Barbaroux: Magnetic Dirac Systems: Violation of bulk-edge correspondence in the zigzag limit June 11 14:00 - 14:50 Jean Marie Barbaroux: Magnetic Dirac Systems: Violation of bulk-edge correspondence in the zigzag limit
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Michele Correggi: Schroedinger and Pauli Operators with Aharonov-Bohm Fluxes June 11 14:50 - 15:40 Michele Correggi: Schroedinger and Pauli Operators with Aharonov-Bohm Fluxes
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Luca Fanelli: Energy Scattering for the defocusing nonlinear Klein-Gordon Equation with a magnetic field June 11 16:10 - 17:00 Luca Fanelli: Energy Scattering for the defocusing nonlinear Klein-Gordon Equation with a magnetic field
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Rupert Frank: On the spectrum of the Kronig–Penney model in a constant electric field June 12 09:00 - 09:50 Rupert Frank: On the spectrum of the Kronig–Penney model in a constant electric field
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Mira Shamis: On the abominable properties of the Almost Mathieu operator with Liouville frequencies June 12 09:50 - 10:40 Mira Shamis: On the abominable properties of the Almost Mathieu operator with Liouville frequencies
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Lucrezia Cossetti: Spectral stability via the method of multipliers June 12 11:10 - 11:35 Lucrezia Cossetti: Spectral stability via the method of multipliers
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Netanel Levi: Alpha-Subordinacy Theory of Schroedinger Operators on Z June 12 11:35 - 12:00 Netanel Levi: Alpha-Subordinacy Theory of Schroedinger Operators on Z
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Horia Cornean: On the self-consistent Landauer-Büttiker formalism June 12 14:00 - 14:50 Horia Cornean: On the self-consistent Landauer-Büttiker formalism
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Noema Nicolussi: Self-adjoint extensions of infinite quantum graphs June 12 14:50 - 15:15 Noema Nicolussi: Self-adjoint extensions of infinite quantum graphs
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Conni Liaw: Aleksandrov-Clark Theory and its generalizations June 12 15:45 - 16:35 Conni Liaw: Aleksandrov-Clark Theory and its generalizations
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Pavel Exner: Geometrically induced discrete spectrum in soft quantum waveguides June 13 09:00 - 09:50 Pavel Exner: Geometrically induced discrete spectrum in soft quantum waveguides
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Matthias Keller: On Landis conjecture for Schrödinger operators on graphs June 13 09:50 - 10:40 Matthias Keller: On Landis conjecture for Schrödinger operators on graphs
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Matania Ben Artzi: Non-Concentration for the acoustic operator in layered media June 13 11:10 - 12:00 Matania Ben Artzi: Non-Concentration for the acoustic operator in layered media
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Aleksey Kostenko: Trace formulas and inverse spectral theory for strings June 13 14:00 - 14:50 Aleksey Kostenko: Trace formulas and inverse spectral theory for strings
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Jonathan Eckhardt: Inverse spectral theory for strings and the conservative Camassa-Holm flow June 13 14:50 - 15:40 Jonathan Eckhardt: Inverse spectral theory for strings and the conservative Camassa-Holm flow
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Daniel Lenz: Schreier graphs of Grigorchuk’s group and simple Toeplitz subshifts June 13 16:10 - 17:00 Daniel Lenz: Schreier graphs of Grigorchuk’s group and simple Toeplitz subshifts
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Jacob Shapiro: Double-Well Eigenvalue Splitting: Excited and Non-Radial Magnetic States June 14 09:00 - 09:50 Jacob Shapiro: Double-Well Eigenvalue Splitting: Excited and Non-Radial Magnetic States
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Pavel Kurasov: M-functions and maximal dissipative operators on metric graphs June 14 09:50 - 10:40 Pavel Kurasov: M-functions and maximal dissipative operators on metric graphs
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Sven Gnutzmann: Information scrambling and chaos induced by a Hermitian matrix June 14 11:10 - 12:00 Sven Gnutzmann: Information scrambling and chaos induced by a Hermitian matrix