Mathematical results in quantum mechanics : [electronic resource] a conference on QMATH-8, mathematical results in quantum mechanics, Universidad Nacional Autonoma de M�exico, Taxco, M�exico, December 10-14, 2001 / Ricardo Weder, Pavel Exner, Benoit Gr�ebert, editors.

Contributor(s): Weder, Ricardo | Exner, Pavel, 1946- | Gr�ebert, Benoit, 1965-Material type: TextTextSeries: Contemporary mathematics (American Mathematical Society) ; v. 307.Publication details: Providence, R.I. : American Mathematical Society, c2002Description: 1 online resource (x, 350 p.)ISBN: 9780821878972 (online)Other title: Mathematical results [Spine title]Subject(s): Quantum theory -- Mathematical models -- Congresses | Mathematical physics -- CongressesAdditional physical formats: Mathematical results in quantum mechanics :DDC classification: 530.12 LOC classification: QC173.96 | .M382 2002Online resources: Contents | Contents
Contents:
Blow-up for Schr�odinger equation with pointwise nonlinearity / Riccardo Adami -- http://www.ams.org/conm/307/ http://dx.doi.org/10.1090/conm/307/05261 Quantum electrodynamics of relativistic bound states with cutoffs. II / Jean-Marie Barbaroux, Mouez Dimassi and Jean-Claude Guillot -- http://www.ams.org/conm/307/ http://dx.doi.org/10.1090/conm/307/05262 Scattering by a slab: an exact calculation / F. Bentosela and M. Tater -- http://www.ams.org/conm/307/ http://dx.doi.org/10.1090/conm/307/05263 Crystalline order in one dimensional Thomas-Fermi type models / X. Blanc and C. Le Bris -- http://www.ams.org/conm/307/ http://dx.doi.org/10.1090/conm/307/05264 New results on the spectrum of lattice Schr�odinger operators and applications / Jean Bourgain -- http://www.ams.org/conm/307/ http://dx.doi.org/10.1090/conm/307/05265 Reconstruction of the memory from partial boundary measurements / A. L. Bukhge�im, G. V. Dyatlov and G. Uhlmann -- http://www.ams.org/conm/307/ http://dx.doi.org/10.1090/conm/307/05266 Asymptotics for nonlinear dissipative equations in the super critical case / Rosa E. Cardiel and Pavel I. Naumkin -- http://www.ams.org/conm/307/ http://dx.doi.org/10.1090/conm/307/05267 Edge states for quantum Hall Hamiltonians / J.-M. Combes, P. D. Hislop and E. Soccorsi -- http://www.ams.org/conm/307/ http://dx.doi.org/10.1090/conm/307/05268 A semiclassical approach in linear response theory / M. Combescure and D. Robert -- http://www.ams.org/conm/307/ http://dx.doi.org/10.1090/conm/307/05269 Wigner-von Neumann-like potentials / J. Cruz-Sampedro -- http://www.ams.org/conm/307/ http://dx.doi.org/10.1090/conm/307/05270 Equilibrium potentials in scattering theory / Michael Demuth and Andr�e Noll -- http://www.ams.org/conm/307/ http://dx.doi.org/10.1090/conm/307/05271 Straight quantum waveguides with combined boundary conditions / J. Dittrich and J. K�r�i�z -- http://www.ams.org/conm/307/ http://dx.doi.org/10.1090/conm/307/05272 Perturbation theory for the quantum time-evolution in rotating potentials / Volker Enss, Vadim Kostrykin and Robert Schrader -- http://www.ams.org/conm/307/ http://dx.doi.org/10.1090/conm/307/05273 Two dimensional Pauli operator via scalar potential / L�aszl�o Erd�os and Vitali Vougalter -- http://www.ams.org/conm/307/ http://dx.doi.org/10.1090/conm/307/05274 A max-min principle for the ground state of the Dirac-Fock functional / Maria J. Esteban and Eric S�er�e -- http://www.ams.org/conm/307/ http://dx.doi.org/10.1090/conm/307/05275 On the regularity of the density of electronic wavefunctions / S. Fournais, M. Hoffmann-Ostenhof, T. Hoffmann-Ostenhof and T. �stergaard S�rensen -- http://www.ams.org/conm/307/ http://dx.doi.org/10.1090/conm/307/05276 Enhanced binding through coupling to a photon field / Christian Hainzl -- http://www.ams.org/conm/307/ http://dx.doi.org/10.1090/conm/307/05277 The large radius limit for coherent states on spheres / Brian C. Hall and Jeffrey J. Mitchell -- http://www.ams.org/conm/307/ http://dx.doi.org/10.1090/conm/307/05278 Quantum scattering for potentials homogeneous of degree zero / I. Herbst and E. Skibsted -- http://www.ams.org/conm/307/ http://dx.doi.org/10.1090/conm/307/05279 Existence of the density of states for one-dimensional alloy-type potentials with small support / Werner Kirsch and Ivan Veseli�c -- http://www.ams.org/conm/307/ http://dx.doi.org/10.1090/conm/307/05280 Statistical ensembles and density of states / Vadim Kostrykin and Robert Schrader -- http://www.ams.org/conm/307/ http://dx.doi.org/10.1090/conm/307/05281 The Cauchy problem for the Toda lattice with a class of non-stabilized initial data / Mikhail Kudryavtsev -- http://www.ams.org/conm/307/ http://dx.doi.org/10.1090/conm/307/05282 Absolutely continuous spectrum of Jacobi matrices / A. Laptev, S. Naboko and O. Safronov -- http://www.ams.org/conm/307/ http://dx.doi.org/10.1090/conm/307/05283 Stability of matter in relativistic quantum electrodynamics / Elliott H. Lieb and Michael Loss -- http://www.ams.org/conm/307/ http://dx.doi.org/10.1090/conm/307/05284 The algebra of observables in a magnetic field / Marius M�antoiu and Radu Purice -- http://www.ams.org/conm/307/ http://dx.doi.org/10.1090/conm/307/05285 Recent developments in value distribution theory for Schr�odinger operators on the half line / D. B. Pearson -- http://www.ams.org/conm/307/ http://dx.doi.org/10.1090/conm/307/05286 Long time propagation results in quantum mechanics / Didier Robert -- http://www.ams.org/conm/307/ http://dx.doi.org/10.1090/conm/307/05287 Comments on adiabatic quantum algorithms / Mary Beth Ruskai -- http://www.ams.org/conm/307/ http://dx.doi.org/10.1090/conm/307/05288 Tunneling destruction for a non-linear Schr�odinger equation / Andrea Sacchetti -- http://www.ams.org/conm/307/ http://dx.doi.org/10.1090/conm/307/05289 Symmetry breaking in a model of a rotating Bose gas / Robert Seiringer -- http://www.ams.org/conm/307/ http://dx.doi.org/10.1090/conm/307/05290 Euler's constant in Segal-Bargmann analysis / Stephen Bruce Sontz -- http://www.ams.org/conm/307/ http://dx.doi.org/10.1090/conm/307/05291 Maxwell with a touch of Schr�odinger / A. Tip -- http://www.ams.org/conm/307/ http://dx.doi.org/10.1090/conm/307/05292 Exponentially accurate semiclassical asymptotics / Julio H. Toloza -- http://www.ams.org/conm/307/ http://dx.doi.org/10.1090/conm/307/05293 Some properties of the eigenvalues of a Schr�odinger equation with energy-dependent potential / Cornelis van der Mee and Vjacheslav Pivovarchik -- http://www.ams.org/conm/307/ http://dx.doi.org/10.1090/conm/307/05294 The Bargmann transform for $L^2(S^3)$ and regularization of the Kepler problem / Carlos Villegas-Blas -- http://www.ams.org/conm/307/ http://dx.doi.org/10.1090/conm/307/05295 Schr�odinger equations with superquadratic potentials / Kenji Yajima and Guoping Zhang -- http://www.ams.org/conm/307/ http://dx.doi.org/10.1090/conm/307/05296 Band spectrum of the Laplacian on a slab with the Dirichlet boundary condition on a grid / Kazushi Yoshitomi -- http://www.ams.org/conm/307/ http://dx.doi.org/10.1090/conm/307/05297
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Includes bibliographical references.

Blow-up for Schr�odinger equation with pointwise nonlinearity / Riccardo Adami -- Quantum electrodynamics of relativistic bound states with cutoffs. II / Jean-Marie Barbaroux, Mouez Dimassi and Jean-Claude Guillot -- Scattering by a slab: an exact calculation / F. Bentosela and M. Tater -- Crystalline order in one dimensional Thomas-Fermi type models / X. Blanc and C. Le Bris -- New results on the spectrum of lattice Schr�odinger operators and applications / Jean Bourgain -- Reconstruction of the memory from partial boundary measurements / A. L. Bukhge�im, G. V. Dyatlov and G. Uhlmann -- Asymptotics for nonlinear dissipative equations in the super critical case / Rosa E. Cardiel and Pavel I. Naumkin -- Edge states for quantum Hall Hamiltonians / J.-M. Combes, P. D. Hislop and E. Soccorsi -- A semiclassical approach in linear response theory / M. Combescure and D. Robert -- Wigner-von Neumann-like potentials / J. Cruz-Sampedro -- Equilibrium potentials in scattering theory / Michael Demuth and Andr�e Noll -- Straight quantum waveguides with combined boundary conditions / J. Dittrich and J. K�r�i�z -- Perturbation theory for the quantum time-evolution in rotating potentials / Volker Enss, Vadim Kostrykin and Robert Schrader -- Two dimensional Pauli operator via scalar potential / L�aszl�o Erd�os and Vitali Vougalter -- A max-min principle for the ground state of the Dirac-Fock functional / Maria J. Esteban and Eric S�er�e -- On the regularity of the density of electronic wavefunctions / S. Fournais, M. Hoffmann-Ostenhof, T. Hoffmann-Ostenhof and T. �stergaard S�rensen -- Enhanced binding through coupling to a photon field / Christian Hainzl -- The large radius limit for coherent states on spheres / Brian C. Hall and Jeffrey J. Mitchell -- Quantum scattering for potentials homogeneous of degree zero / I. Herbst and E. Skibsted -- Existence of the density of states for one-dimensional alloy-type potentials with small support / Werner Kirsch and Ivan Veseli�c -- Statistical ensembles and density of states / Vadim Kostrykin and Robert Schrader -- The Cauchy problem for the Toda lattice with a class of non-stabilized initial data / Mikhail Kudryavtsev -- Absolutely continuous spectrum of Jacobi matrices / A. Laptev, S. Naboko and O. Safronov -- Stability of matter in relativistic quantum electrodynamics / Elliott H. Lieb and Michael Loss -- The algebra of observables in a magnetic field / Marius M�antoiu and Radu Purice -- Recent developments in value distribution theory for Schr�odinger operators on the half line / D. B. Pearson -- Long time propagation results in quantum mechanics / Didier Robert -- Comments on adiabatic quantum algorithms / Mary Beth Ruskai -- Tunneling destruction for a non-linear Schr�odinger equation / Andrea Sacchetti -- Symmetry breaking in a model of a rotating Bose gas / Robert Seiringer -- Euler's constant in Segal-Bargmann analysis / Stephen Bruce Sontz -- Maxwell with a touch of Schr�odinger / A. Tip -- Exponentially accurate semiclassical asymptotics / Julio H. Toloza -- Some properties of the eigenvalues of a Schr�odinger equation with energy-dependent potential / Cornelis van der Mee and Vjacheslav Pivovarchik -- The Bargmann transform for $L^2(S^3)$ and regularization of the Kepler problem / Carlos Villegas-Blas -- Schr�odinger equations with superquadratic potentials / Kenji Yajima and Guoping Zhang -- Band spectrum of the Laplacian on a slab with the Dirichlet boundary condition on a grid / Kazushi Yoshitomi --

http://www.ams.org/conm/307/

http://dx.doi.org/10.1090/conm/307/05261

http://www.ams.org/conm/307/

http://dx.doi.org/10.1090/conm/307/05262

http://www.ams.org/conm/307/

http://dx.doi.org/10.1090/conm/307/05263

http://www.ams.org/conm/307/

http://dx.doi.org/10.1090/conm/307/05264

http://www.ams.org/conm/307/

http://dx.doi.org/10.1090/conm/307/05265

http://www.ams.org/conm/307/

http://dx.doi.org/10.1090/conm/307/05266

http://www.ams.org/conm/307/

http://dx.doi.org/10.1090/conm/307/05267

http://www.ams.org/conm/307/

http://dx.doi.org/10.1090/conm/307/05268

http://www.ams.org/conm/307/

http://dx.doi.org/10.1090/conm/307/05269

http://www.ams.org/conm/307/

http://dx.doi.org/10.1090/conm/307/05270

http://www.ams.org/conm/307/

http://dx.doi.org/10.1090/conm/307/05271

http://www.ams.org/conm/307/

http://dx.doi.org/10.1090/conm/307/05272

http://www.ams.org/conm/307/

http://dx.doi.org/10.1090/conm/307/05273

http://www.ams.org/conm/307/

http://dx.doi.org/10.1090/conm/307/05274

http://www.ams.org/conm/307/

http://dx.doi.org/10.1090/conm/307/05275

http://www.ams.org/conm/307/

http://dx.doi.org/10.1090/conm/307/05276

http://www.ams.org/conm/307/

http://dx.doi.org/10.1090/conm/307/05277

http://www.ams.org/conm/307/

http://dx.doi.org/10.1090/conm/307/05278

http://www.ams.org/conm/307/

http://dx.doi.org/10.1090/conm/307/05279

http://www.ams.org/conm/307/

http://dx.doi.org/10.1090/conm/307/05280

http://www.ams.org/conm/307/

http://dx.doi.org/10.1090/conm/307/05281

http://www.ams.org/conm/307/

http://dx.doi.org/10.1090/conm/307/05282

http://www.ams.org/conm/307/

http://dx.doi.org/10.1090/conm/307/05283

http://www.ams.org/conm/307/

http://dx.doi.org/10.1090/conm/307/05284

http://www.ams.org/conm/307/

http://dx.doi.org/10.1090/conm/307/05285

http://www.ams.org/conm/307/

http://dx.doi.org/10.1090/conm/307/05286

http://www.ams.org/conm/307/

http://dx.doi.org/10.1090/conm/307/05287

http://www.ams.org/conm/307/

http://dx.doi.org/10.1090/conm/307/05288

http://www.ams.org/conm/307/

http://dx.doi.org/10.1090/conm/307/05289

http://www.ams.org/conm/307/

http://dx.doi.org/10.1090/conm/307/05290

http://www.ams.org/conm/307/

http://dx.doi.org/10.1090/conm/307/05291

http://www.ams.org/conm/307/

http://dx.doi.org/10.1090/conm/307/05292

http://www.ams.org/conm/307/

http://dx.doi.org/10.1090/conm/307/05293

http://www.ams.org/conm/307/

http://dx.doi.org/10.1090/conm/307/05294

http://www.ams.org/conm/307/

http://dx.doi.org/10.1090/conm/307/05295

http://www.ams.org/conm/307/

http://dx.doi.org/10.1090/conm/307/05296

http://www.ams.org/conm/307/

http://dx.doi.org/10.1090/conm/307/05297

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

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