Conference "Schrödinger operators with magnetic fields"

2.6 - 12.6.1998

This conference is part of the program Magnetic fields and the Schrödinger equation

Tuesday 2.6.

9.30 Opening of the conference
9.45-10.30G. Nenciu: Magnetic Schrödinger operators: Perturbation theory and enhancement of eigenfunction decay
10.45-11.30 H. Cornean: 2-dimensional magnetic Schrödinger operators: width of minibands in the tight binding approximation
11.45-12.15 R. Zhdanov: On separation of variables in the Schrödinger equation for a particle interacting with external field
Lunch break
14.30-15.15 R. Hempel: Periodic Schrödinger operators with magnetic perturbations and eigenvalues in gaps
15.30-16.15 L. Bugliaro: Lieb-Thirring estimates and stability of matter coupled to QED

Wednesday 3.6.

10.15-11.00 Z. Shen:On moments of eigenvalues for the Pauli operator
11.15-12.00 M. Griesemer: On instability of relativistic matter with self-generated magnetic field
Lunch break
14.15-14.45 C. Gerard: An introduction to scattering theory of N-particle systems in magnetic fields
15.00-15.45 I. Laba: Geometric methods in N-body scattering in magnetic fields
Coffee break
16.15-17.00 E. Korotyaev: Scattering of three particles in a homogeneous time periodic magnetic field

Thursday 4.6.

10.00-10.45A. Sobolev: Absolute continuity of the magnetic Schrödinger operator
11.00-11.45E. Skibsted: Completeness for particles in combined constant electric and magnetic field
Lunch Break
14.00-14.30G. Zhislin: Spectral properties of many-particle Hamiltonians with a homogeneous magnetic field with fixed pseudomomentum
14.45-15.30M. Gruber: Noncommutative Bloch theory and gauge-periodic magnetic Schrödinger operators
Coffee break
16.00-16.45R. Lewis: Eigenvalue estimates in the semiclassical limit for Pauli and Dirac operators with a magnetic field

Friday 5.6.

10.15-11.00J. Solovej: Constructing zero eigenfunctions for magnetic Dirac operators on S^3 and R^3
11.15-12.00A. Laptev: The negative discrete spectrum of a class of 2-dimensional Schrödinger operators with magnetic fields
Lunch Break
14.15-15.00T. Suslina: 2-dimensional periodic Pauli operator. Effective masses at the lower point of the spectrum
15.15-16.00M. Birman: The periodic Schrödinger operator and Dirac operator. Sufficient conditions for the absolute continuity
Coffee Break
16.30-17.15J.M. Combes: About spectral gaps for Maxwell equations in periodic dielectric media

Monday 8.6.

10.15-11.00V. Bach: Stability of the groundstate and instability of excited levels for an atom minimally coupled to the quantized electro-magnetic field
11.15-12.00B. Helffer: Nodal sets for the groundstate of the Schrödinger operator with zero magnetic field in a non simply connected domain
Lunch Break
14.15-14.45W. Evans: Stability of 1-electron molecules in the Brown-Ravenhall model I
15.00-15.45A. Balinsky: Stability of 1-electron molecules in the Brown-Ravenhall model II
Coffee Break
16.15-17.00H. Siedentop: On the stability of the relativistic electron-positron field

Tuesday 9.6.

10.15-11.00P. Balodis: On the asymptotic exactness of Thomas-Fermi Theory in the thermodynamical limit
11.15-12.00P. Kerdelhue: Rsonances generated by a critical point of the potential
Lunch Break
14.15-14.45G. Hoever: On the spectrum of a special magnetic Schrödinger operator
15.00-15.45N. Macris: Recent results on the localisation length for Quantum Hall systems
Coffee Break
16.15-17.00G. Raikov: Asymptotic properties of the magnetic integrated density of states

Wednesday 10.6.

10.00-10.45K. Kurata: An estimate of the heat kernel of magnetic Schrödinger operators and uniformly elliptic operators with non negative potentials
11.00-11.45I. Herbst: Generalized Fourier transform for Schrödinger operators with potentials of order zero
12.00-12.30A. Suzko: Exact solutions for Schrödinger equations

Thursday 11.6.

13.30-14.00S. Fournais: Semiclassics of the quantum current in weak and strong magnetic fields
14.15-15.00B. Ruskai: A bound on the maximum negative ionisation of 1-dimansional models for many electron atoms in extremely strong magnetic fields
15.15-16.00R. Brummelhuis: title to be announced
Coffee Break
16.30-17.15S. Nakamura: Tunnelling estimates for magnetic Schrödinger operators

Friday 12.6.

10.15-11.00L. Erdös: Lifschitz tail in a magnetic field: the non classical regime
11.15-12.00T. Weidl: Virtual boundstates and Schrödinger type operators with magnetic fields
Lunch Break
14.15-14.45T. Ostergaard: The relativistic Scott correction
15.00-15.45V. Ivrii: Atoms and molecules in the strong magnetic field
Coffee Break
16.15-17.00J. Yngvason: Temperature dependent Thomas Fermi theory with a magnetic field