Special sessions

Mathematical Methods in Quantum Mechanics

Organizers:

  • Rafael Benguria, Pontificia Universidad Católica de Chile
  • David Damanik, Rice University, USA
  • César R. de Oliveira, Universidade Federal de São Carlos, Brazil
  • Rafael del Rio, Universidad Nacional Autónoma de México
  • Julio H. Toloza, Universidad Nacional del Sur, Argentina

Contact organizer:

  • Julio H. Toloza, Universidad Nacional del Sur, Argentina, This email address is being protected from spambots. You need JavaScript enabled to view it.

Schedule:

  • Thursday 15, 16:00 to 21:00 UTC-3.
  • Friday 16, 16:00 to 21:00 UTC-3.
  • Monday 19, 16:00 to 21:00 UTC-3.

Thursday, July 15, 16:00 ~ 21:00
16:00 ~ 16:25 Resonances for rank one perturbations of Hamiltonians with embedded eigenvalues
Claudio Fernandez - Pontificia Universidad Católica de Chile, Chile
16:30 ~ 16:55 Zero measure spectrum for multi-frequency Schrödinger operators
Jake Fillman - Texas State University, USA
17:00 ~ 17:25 The two-dimensional Dirac bag model in strong magnetic fields
Edgardo Stockmeyer - Pontificia Universidad Católica de Chile, Chile
17:30 ~ 18:10 Dispersive Estimates for Schrödinger Equations
Ricardo Weder - Universidad Nacional Autónoma de México, Mexico
18:30 ~ 18:55 Spectrum of graphene models in magnetic fields
Rui Han - Louisiana State University, USA
19:00 ~ 19:25 Dirac Operators in a decaying random environment
Amal Taarabt - Pontificia Universidad Católica de Chile, Chile
19:30 ~ 19:55 On limiting eigenvalue distribution theorems for clusters and sub-clusters of the hydrogen atom in a weak constant magnetic field
Carlos Villegas-Blas - Universidad Nacional Autónoma de México, Mexico
20:00 ~ 20:25 Large numerators of quasiperiodic operators
Wencai Liu - Texas A&M University, USA
Friday, July 16, 16:00 ~ 21:00
16:00 ~ 16:40 Pointwise convergence for the non-linear Fourier transform
Alexei Poltoratski - University of Wisconsin - Madison, USA
16:45 ~ 17:10 Pure and Mixed States
João C. A. Barata - Instituto de Física, Universidade de São Paulo, Brazil
17:15 ~ 17:40 Spectral Theory of the Thermal Hamiltonian
Giuseppe De Nittis - Pontificia Universidad Católica de Chile, Chile
17:45 ~ 18:10 Spectrum of the Dirichlet Laplacian in sheared waveguides
Alessandra Verri - Universidade Federal de São Carlos, Brazil
18:30 ~ 18:55 Results on the spectral stability of the one-dimensional nonlinear Dirac Equation of Soler type
Hanne Van Den Bosch - Universidad de Chile, Chile
19:00 ~ 19:25 A functional model for symmetric operators and its applications to spectral theory
Luis O. Silva - Universidad Nacional Autónoma de México, Mexico
19:30 ~ 19:55 Semiclassical resolvent bound for long range Lipschitz potentials
Jacob Shapiro - University of Dayton, USA
20:00 ~ 20:25 Spectral theory of Jacobi matrices on trees whose coefficients are generated by multiple orthogonality
Sergey Denisov - University of Wisconsin - Madison, USA
Monday, July 19, 16:00 ~ 21:00
16:00 ~ 16:25 Vanishing of entropy production and quantum detailed balance
Tristan Benoist - CNRS - Institut de Mathématiques de Toulouse, France
16:30 ~ 16:55 Stahl-Totik regularity for continuum Schrödinger operators
Milivoje Lukić - Rice University, USA
17:00 ~ 17:25 Some generic properties of a uniformly bounded family of discrete one-dimensional Schrödinger operators
Silas Luiz Carvalho - Universidade Federal de Minas Gerais, Brazil
17:30 ~ 18:10 Continuity properties of the spectral shift function for massless Dirac operators and an application to the Witten index
Fritz Gesztesy - Baylor University, USA
18:30 ~ 18:55 On the Equivalence of the KMS Condition and the Variational Principle for Quantum Lattice Systems with Mean-Field Interactions
Walter de Siqueira Pedra - University of São Paulo, Brazil
19:00 ~ 19:25 Vortex lines in the 3D Ginzburg-Landau model of superconductivity
Carlos Román - Pontificia Universidad Católica de Chile, Chile
19:30 ~ 19:55 The Schrödinger equation revisited in terms of a nonabsolute path integral
Márcia Federson - Universidade de São Paulo, Brazil
20:00 ~ 20:40 Direct and inverse Sturm-Liouville problems: A method of solution
Vladislav Kravchenko - Cinvestav, Mexico

 

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