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Program

PRELIMINARY PROGRAM

               QMath-8. Mathematical Results in Quantum Mechanics                            

                               Taxco, México. December 10 – 14, 2001           

                

                                            PROGRAM

 

              Registration desk open on Sunday December 9:  17 – 22 .

 

                                    Monday December 10

                                    Registration desk open 9 – 19.

 

 

Salón Chimenea

 

 

Chairman

R. Weder

 

 

9:45

Opening session

 

 

10 – 11

R. Schrader

 

 

11 - 11:15

    Coffee Break

 

 

 

Chairman

P. Exner

 

 

11:15 - 12:15

G. Uhlmann

 

 

12:15 - 12:30

        Coffee Break

 

 

 

 

Salón Chimenea

Salón Oro

Auditorio

Chairman

S. Sontz

C. Le Bris

E. Ley Koo

12:30 - 12:55

A. Hinz

P. Exner

F. Bentosela

13 – 13:25

D. Krejcirik

V. Ivrii

J. Dittrich

13:25 - 16

        Lunch Break

 

 

 

 

Salón Chimenea

Salón Oro

Auditorio

Chairman

F. Bentosela

M. Klaus

J. Cruz

16 – 16:25

M. Combescure

A. Tip

E. Ley Koo

16:30 - 16:55

A. Sachetti

M. B. Ruskai

V. Rabinovich

16:55 - 17:05

        Coffe Break

 

 

 

 

Salón Chimenea

Salón Oro

Auditorio

Chair

A. Hinz

R. del Río

M.B. Ruskai

17:05 -17:30

C. Villegas

M. Antonets

M. Kovalyov

17:35 - 18

K. Yoshitomi

Ch. Hainzl

M. Mantoiu

18 ----

 Party

 

 

Plenary Session

Salón Chimenea

9:45 Opening Session

10 - 11 R. Schrader. Statistical ensembles and  density of states.

11:15 - 12:15 G. Uhlmann. On the Local Dirichlet to Neumann map.

Paralell Sessions

Salón Chimenea

12:30 - 12:55 A. Hinz.  Delocalization for Schroedinger operators.

13 - 13:25. D. Krejcirik. Bound states in curved quantum layers.

 Salón Oro

12:30 - 12:55   P. Exner. A norm resolvent approximation of strongly singular interactions.

13  - 13:25  V. Ivrii. Functions on the box and logarithmic uncertainty principle.

Auditorio

12:30 - 12:55 F. Bentosela. On the spectral and wave propagation properties of the surface Maryland model.

13  - 13:25  J. Dittrich. Quantum wave guides with combined boundary condition.

13:25 - 16  Lunch Break.

Parallel Sessions

Salón Chimemea

16  - 16:25 M. Combescure.  Semiclassical results in the linear response theory.

16:30 - 16:55 A. Sachetti. Tunneling instability for double well Schroedinger operator with a non-linear perturbation.

17:05 - 17:30 C. Villegas.  The Bargman transform, canonical transformations and the Kepler problem.

 17:35 - 18 K. Yoshitomi. Band spectrum of the Laplacian on a slab with the Dirichlet boundary condition on a grid.

 Salón Oro

16 - 16:25 A. Tip. Maxwell with a touch of Schroedinger.

16:30 - 16:55 M. B. Ruskai. Comment on efficiency of adiabatic quantum algorithms.

17:05 - 17:30 M. Antonets. Negative discrete spectrum of Dirac operators of contact interactions.

17:35 - 18 Ch. Hainzl.  Enhanced binding in non-relativistic QED.

Auditorio

16 - 16:25 E. Ley Koo. Variational theorem for the solutions of the many-electron relativistic quantum system.

16:30 - 16:55 V. Rabinovich. Pseudodifferential operators with analytic symbols and estimates for eigenfunctions of Schroedinger operators.

17:05 - 17:30  M. Kovalyov. Spectral decomposition of potential for the one-dimensional  Schroedinger operator.

17:35 - 18  M. Mantoiu. Compactifications of locally compact, abelian groups and spectral analysis of Schroedinger operators.

Salón Chimenea. 18:-----  Party

 

                                   Tuesday December 11

                                    Registration desk open 9 – 18

 

 

Salón Chimenea

 

 

Chairman

F. Brambila

 

 

10 – 11

E.H. Lieb

 

 

11 – 11:15

Coffee Break

 

 

 

 

Salón Chimenea

 

 

Chairman

J.Cruz

 

 

11:15 -  12:15

K. Yajima

 

 

12:15 - 12:30

Coffee Break

 

 

 

 

Salón Chimenea

 

 

Chairman

B. Grebert

 

 

12:30 - 12:55

E. Seré

 

 

13 - 13:25

H. Siedentop

 

 

13:25 - 16

        Lunch Break

 

 

 

 

Salón Chimenea

Salón Oro

Auditorio

Chairman

B. Grebert

R. Quezada

S. Fulling

16 - 16:25

C. Le Bris

A. Turbiner

U. Carlsson

16:30 - 16:55

J. M. Barbaroux

B. Bodmann

N. Atakishiyev

16:55 - 17:05

        Coffee Break

 

 

 

 

Salón Chimenea

Salón Oro

Auditorio

Chairman

B. Grebert

 N. Atakishiyev

C. van der Mee

17:05 - 17:30

I. Catto

S. Fulling

R. Quezada

17:35 - 18

G. Panati

J. Cruz

I. Veselic

Plenary Session

Salón Chimenea

10 - 11 E.H. Lieb. Stability of a model of relativistic quantum electrodynamics.

11:15 - 12-15 K. Yajima. The local smoothing property and Strichartz inequality for Schroedinger equations with potentials superquadratic at infinity.

Salón Chimenea

Session on Mathematical Problems of Quantum Chemistry

Partially supported by the project, Modeles Mathématiques pour le Chimie Quantique Atomique et Moleculaire, Fonds Nationale de la Science, France.

 12:30- 12:55  E. Seré. A ground state for the Dirac-Fock model. 

13 - 13:25 H. Siedentop. The energy of relativistic one-electron atom.

13:25 - 16 Lunch Break.

Parallel Sessions

Salón Chimenea

Session on Mathematical Problems of Quantum Chemistry

16 - 16:25 C. Le Bris. Ground state energies for systems composed of infinitely many particles.

16:30  - 16:55  J.M. Barbaroux. On the binding condition for helium atom in QED.

17:05 - 17:30 I. Catto. On the Hartre-Fock and Dirac-Fock models for crystals.

End of the session on Mathematical Problems in Quantum Chemistry.

17:35 - 18  G. Panati. Space-adiabatic perturbation theory for the Dirac equation.

Salón Oro

16 - 16:25 A. Turbiner. Canonical Discretization (discretization as canonical transformation).

16:30 - 16:55 B. Bodmann. A transformation formula relating resolvents of Berezin-Toeplitz operators by an invariance property of Brownian motion.

17:05 - 17:30. S. Fulling. The quantum theory of ceilings and floors.

17:35 - 18 J. Cruz. Perturbation of the Wigner – von Neumann potential leaving the embedded eigenvalue fixed.

Auditorio

16 - 16:25 U. Carlsson. Schroedinger operators with several potentials wells in the semiclassical limit.

16:30 - 16:55 N. Atakishiyev. Mellin transforms for some families of q-polynomials.

 17:05 - 17:30 R. Quezada. A class of non-conservative quantum dynamics.

17:35 - 18 I. Veselic. Wegner estimate for alloy type models with non negative single site potential of small support.

   

                                    Wednesday December 12

 

                                    Registration desk open 9 – 18

 

 

Salón Chimenea

 

 

Chairman

G. Uhlmann

 

 

10 – 11

M. Demuth

 

 

11 - 11:15

Coffee Break

 

 

 

 

Salón Chimenea

 

 

Chairman

R. Schrader

 

 

11:15 - 12:15

A. Laptev

 

 

12:15 - 12:30

Coffee Break

 

 

 

 

Salón Chimenea

 

 

Chairman

J.M. Combes

 

 

12:30 - 12:55

D. Robert

 

 

 

 

Salón Chimenea

Salón Oro

Auditorio

Chair

G. Roepstorff

I. Catto

A. Turbiner

13 - 13:25

K.B. Wolf

I. Herbst

C. van der Mee

Excursion to Xochicalco. Departure time 14:00, Salón Chimenea.

Plenary Session

Salón Chimenea

10 - 11 M. Demuth. Capacities and equilibrium potentials in scattering theory.

11:15 - 12:15 A. Laptev. Absolutely continuous spectrum of Jacobi matrices.

12:30 - 12:55 D. Robert. Long time propagation for quantum observables and coherent states in the semiclassical regime.

Parallel Sessions

Salón Chimenea

13 - 13:25  K.B. Wolf. Finite quantum/optical systems.

Salón Oro

13 - 13:25 I. Herbst. Quantum scattering with potentials independent of |x|.

Auditorio

13 - 13: 25 C. van der Mee. The Inverse generalized Regge problem.

 Excursion to Xochicalco. Departure time  14:00, Salón Chimenea.

 

 

                                   Thursday December 13

                                    Registration desk open   9 - 18

 

 

Salón Chimenea

 

 

Chairman

R. Weder

 

 

10 - 11

V. Enss

 

 

11 - 11:15

Coffee Break

 

 

 

 

Salón Chimenea

 

 

Chairman

K. Yajima

 

 

11:15 -  12:15

P.I. Naumkin

 

 

12:15 - 12:30

Coffee Break

 

 

 

 

Salón Chimenea

Salón Oro

Auditorio

Chairman

D. Pearson

G.S. Pogosyan

D. Robert

12:30 - 12:55

F. Brambila

R. Seiringer

S. Sontz

13 - 13:25

M. Klaus

B. Mityagin

Ch. Ferrari

13:25 - 16

        Lunch Break

 

 

 

 

Salón Chimenea

Salón Oro

Auditorio

Chairman

A. Tip

J.C. Guillot

H. Siedentop

16 - 16:25

F. Nicoleau

G.S. Pogosyan

P. Stovicek

16:30 - 16:55

M. Horváth

S. Fournais

Dong Shi-Hai

16:55 - 17:05

        Coffee Break

 

 

 

 

Salón Chimenea

Salón Oro

Auditorio

Chair

M. Combescure

C. Pita

A. Strasburger

17:05 - 17:30

B. Apagyi

B. Hall

J.C. Guillot

17:35 - 18

J. Toloza

D. Schumayer

V. Vougalter

Conference dinner. Hotel Monte Taxco, 20:00.

Plenary Session

Salón Chimenea

10 - 11 V. Enss. Quantum Scattering in a Rotating Potential.

11:15 - 12:15 P.I. Naumkin. Large time asymptotics for quadratic non-linear Schroedinger equations in one space dimension.

Parallel Sessions

Salón Chimenea

12:30- 12:55 F. Brambila. Complete vectorial Radon transform.

13- 13:25 M. Klaus.  Spectral properties of the Zakharov-Shabat system and their implications for the propagation of optical pulses with chirp.

Salón Oro

12:30 - 12:55 R. Seiringer. Gross-Pitaevskii theory of the rotating Bose gas.

13 - 13:25 B. Mityagin. Counting lemma for 1D periodic Dirac operator.

Auditorio

12:30 - 12:55 S. Sontz. New results in reverse inequalities.

 13 - 13:25 Ch. Ferrari. Some Spectral properties of finite quantum Hall systems.

13:25 - 16 Lunch Break.

Parallel Sessions

Salón Chimenea

16 - 16:25 F. Nicoleau. A scattering inverse problem with the Aharonov-Bohm effect.

16:30 - 16:55  M. Horváth. A necessary and sufficient condition in inverse eigenvalue problems.

17:05 - 17:30 B. Apagyi. Potentials from phase shifts at fixed energies by a nonlinear inversion method.

17:35 - 18  J. Toloza Exponentially small error estimates of quasiclassical eigenvalues.

 Salón Oro

16 - 16:25  G. S. Pogosyan. Coulomb-oscillator duality in spaces of constant curvature.

16:30 - 16:55  S. Fournais. Regularity of molecular eigenfunctions and densities.

17:05 - 17:30 B. Hall. Coherent states on spheres.

17:35 - 18 D. Schumayer. Painleve test of coupled non-linear Schroedinger equations

and Bose-Einstein  condensation.

Auditorio

16 - 16:25  P. Stovicek. Weakly regular Floquet Hamiltonians with pure point spectrum.

16:30 - 16:55 Dong Shi-Hai. Ladder operator for the Morse potential.

17:05 - 17 :30 J.C. Guillot. The quantum electrodynamics of relativistic bound states with

cutoff.

17:35 - 18  V. Vougalter. Pauli operator and Aharonov-Casher theorem for measure valued magnetic fields.

Conference Dinner. Hotel Monte Taxco, 20:00.

 

                                    Friday December 14

                                    Registration desk open 9 - 14

 

 

Salón Chimenea

 

 

Chairman

M. Demuth

 

 

10 –11

J.M. Combes

 

 

11 - 11:15

Coffee Break

 

 

 

 

Salón Chimenea

 

 

Chairman

V. Enss

 

 

11:15 - 11:40

D. Pearson

 

 

11:40 - 11:50

Coffee Break

 

 

11:50 - 12:15

G. Roepstorff

 

 

12:15 - 12:30

Coffee Break

 

 

 

 

Salón Chimenea

Salón Oro

Auditorio

Chairman

C. Villegas

M. Klein

A. Laptev

12:30 - 12:55

E. Kaikina

M. Tater

R. del Río

13 - 13:25

A. Strasburger

M. Kudryavtsev

V. Kucherenko

13:25 – 16

Lunch Break

 

 

 

 

 

Salón Chimenea

Salón Oro

Auditorio

Chairman

K.B. Wolf

V. Kucherenko

H. Blancarte

16 - 16:25

R. Adami

M. Hitrik

P.B. Espinoza

16:30 - 16:55

J. R. Mercado

M. Klein

 

 

Plenary Session

Salón Chimenea

10 - 11 J.M. Combes.  Edge states in quantum Hall systems.

11:15 - 11:40  D. Pearson. Recent developments in  value distribution  theory for Schroedinger operators.

11:50 - 12:15 G. Roepstorff. On a class of anomaly free gauge theories.

Parallel Sessions

Salón Chimenea

12:30 - 12:55 E. Kaikina. Asymptotic behaviour for Korteweg-de Vries-Burger equation on a half line without smallness initial data.

13 - 13:25  A. Strasburger. On the structure of the Weyl algebra and some families of orthogonal polynomials arising from various orderings.

Salón Oro

12:30 - 12:55 M. Tater. Scattering by  a slab.

 13 - 13:25 M. Kudryavtsev. The Cauchy problem for the Toda Lattice with a class of non-stabilized initial data.

 Auditorio

12:30 - 12:55  R. del Río. Inverse spectral results for Dirac systems.

13 - 13:25 V. Kucherenko. Spectral asymptotics for the N particle Schroedinger equation  with periodic binary potential.

13:25 - 16 Lunch Break.

Parallel Sessions

Salón Chimenea

16 - 16:25 R. Adami. Blow-up solutions for Schroedinger equations with concentrated nonlinearity.

16:30 - 16:55 J.R. Mercado-Escalante. Inverse problem for the similarity exponent.

Salón Oro

16 - 16:25 M. Hitrik. Eigenfrecuencies and expansions for dissipative wave equations.

16:30 - 16:55  M. Klein. Spectral theory and metastability for Markov chains.

Auditorio

16 - 16:25 P.B. Espinoza. Moyal-like evolution equations for SU(2) quasi-distribution functions.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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