Mathematical results in quantum mechanics : a conference on QMATH8, mathematical results in quantum mechanics, Universidad Nacional Autonoma de Mexico, Taxco, Mexico, December 1014, 2001

Contributor(s): Exner Pavel | Grebert Benoit | Weder RicardoMaterial type: Computer fileComputer fileSeries: Contemporary mathematics ; v. 307Publication details: Providence, R.I. : American Mathematical Society, c2002Description: 1 online resource (x, 350 p.)ISBN: 9780821878972 (online)Subject(s): Mathematical physics | Quantum theoryOnline resources: Click here to access online
Contents:
Blowup for Schrodinger equation with pointwise nonlinearity ; Quantum electrodynamics of relativistic bound states with cutoffs. II ; Scattering by a slab: an exact calculation ; Crystalline order in one dimensional ThomasFermi type models ; New results on the spectrum of lattice Schrodinger operators and applications ; Reconstruction of the memory from partial boundary measurements ; Asymptotics for nonlinear dissipative equations in the super critical case ; Edge states for quantum Hall Hamiltonians ; A semiclassical approach in linear response theory ; Wignervon Neumannlike potentials ; Equilibrium potentials in scattering theory ; Straight quantum waveguides with combined boundary conditions ; Perturbation theory for the quantum timeevolution in rotating potentials ; Two dimensional Pauli operator via scalar potential ; A maxmin principle for the ground state of the DiracFock functional ; On the regularity of the density of electronic wavefunctions ; Enhanced binding through coupling to a photon field ; The large radius limit for coherent states on spheres ; Quantum scattering for potentials homogeneous of degree zero ; Existence of the density of states for onedimensional alloytype potentials with small support ; Statistical ensembles and density of states ; The Cauchy problem for the Toda lattice with a class of nonstabilized initial data ; Absolutely continuous spectrum of Jacobi matrices ; Stability of matter in relativistic quantum electrodynamics ; The algebra of observables in a magnetic field ; Recent developments in value distribution theory for Schrodinger operators on the half line ; Long time propagation results in quantum mechanics ; Comments on adiabatic quantum algorithms ; Tunneling destruction for a nonlinear Schrodinger equation ; Symmetry breaking in a model of a rotating Bose gas ; Euler's constant in SegalBargmann analysis ; Maxwell with a touch of Schrodinger ; Exponentially accurate semiclassical asymptotics ; Some properties of the eigenvalues of a Schrodinger equation with energydependent potential ; The Bargmann transform for Riccardo Adami ; JeanMarie Barbaroux Mouez Dimassi and JeanClaude Guillot ; F Bentosela and M Tater ; X Blanc and C Le Bris ; Jean Bourgain ; A L Bukhgeim G V Dyatlov and G Uhlmann ; Rosa E Cardiel and Pavel I Naumkin ; JM Combes P D Hislop and E Soccorsi ; M Combescure and D Robert ; J CruzSampedro ; Michael Demuth and Andre Noll ; J Dittrich and J Kriz ; Volker Enss Vadim Kostrykin and Robert Schrader ; Laszlo Erdos and Vitali Vougalter ; Maria J Esteban and Eric Sere ; S Fournais M HoffmannOstenhof T HoffmannOstenhof and T stergaard Srensen ; Christian Hainzl ; Brian C Hall and Jeffrey J Mitchell ; I Herbst and E Skibsted ; Werner Kirsch and Ivan Veselic ; Vadim Kostrykin and Robert Schrader ; Mikhail Kudryavtsev ; A Laptev S Naboko and O Safronov ; Elliott H Lieb and Michael Loss ; Marius Mantoiu and Radu Purice ; D B Pearson ; Didier Robert ; Mary Beth Ruskai ; Andrea Sacchetti ; Robert Seiringer ; Stephen Bruce Sontz ; A Tip ; Julio H Toloza ; Cornelis van der Mee and Vjacheslav Pivovarchik ; Carlos VillegasBlas ; Kenji Yajima and Guoping Zhang ; Kazushi Yoshitomi
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Includes bibliographical references.

Blowup for Schrodinger equation with pointwise nonlinearity ; Quantum electrodynamics of relativistic bound states with cutoffs. II ; Scattering by a slab: an exact calculation ; Crystalline order in one dimensional ThomasFermi type models ; New results on the spectrum of lattice Schrodinger operators and applications ; Reconstruction of the memory from partial boundary measurements ; Asymptotics for nonlinear dissipative equations in the super critical case ; Edge states for quantum Hall Hamiltonians ; A semiclassical approach in linear response theory ; Wignervon Neumannlike potentials ; Equilibrium potentials in scattering theory ; Straight quantum waveguides with combined boundary conditions ; Perturbation theory for the quantum timeevolution in rotating potentials ; Two dimensional Pauli operator via scalar potential ; A maxmin principle for the ground state of the DiracFock functional ; On the regularity of the density of electronic wavefunctions ; Enhanced binding through coupling to a photon field ; The large radius limit for coherent states on spheres ; Quantum scattering for potentials homogeneous of degree zero ; Existence of the density of states for onedimensional alloytype potentials with small support ; Statistical ensembles and density of states ; The Cauchy problem for the Toda lattice with a class of nonstabilized initial data ; Absolutely continuous spectrum of Jacobi matrices ; Stability of matter in relativistic quantum electrodynamics ; The algebra of observables in a magnetic field ; Recent developments in value distribution theory for Schrodinger operators on the half line ; Long time propagation results in quantum mechanics ; Comments on adiabatic quantum algorithms ; Tunneling destruction for a nonlinear Schrodinger equation ; Symmetry breaking in a model of a rotating Bose gas ; Euler's constant in SegalBargmann analysis ; Maxwell with a touch of Schrodinger ; Exponentially accurate semiclassical asymptotics ; Some properties of the eigenvalues of a Schrodinger equation with energydependent potential ; The Bargmann transform for ^2(S^3) and regularization of the Kepler problem ; Schrodinger equations with superquadratic potentials ; Band spectrum of the Laplacian on a slab with the Dirichlet boundary condition on a grid Riccardo Adami ; JeanMarie Barbaroux Mouez Dimassi and JeanClaude Guillot ; F Bentosela and M Tater ; X Blanc and C Le Bris ; Jean Bourgain ; A L Bukhgeim G V Dyatlov and G Uhlmann ; Rosa E Cardiel and Pavel I Naumkin ; JM Combes P D Hislop and E Soccorsi ; M Combescure and D Robert ; J CruzSampedro ; Michael Demuth and Andre Noll ; J Dittrich and J Kriz ; Volker Enss Vadim Kostrykin and Robert Schrader ; Laszlo Erdos and Vitali Vougalter ; Maria J Esteban and Eric Sere ; S Fournais M HoffmannOstenhof T HoffmannOstenhof and T stergaard Srensen ; Christian Hainzl ; Brian C Hall and Jeffrey J Mitchell ; I Herbst and E Skibsted ; Werner Kirsch and Ivan Veselic ; Vadim Kostrykin and Robert Schrader ; Mikhail Kudryavtsev ; A Laptev S Naboko and O Safronov ; Elliott H Lieb and Michael Loss ; Marius Mantoiu and Radu Purice ; D B Pearson ; Didier Robert ; Mary Beth Ruskai ; Andrea Sacchetti ; Robert Seiringer ; Stephen Bruce Sontz ; A Tip ; Julio H Toloza ; Cornelis van der Mee and Vjacheslav Pivovarchik ; Carlos VillegasBlas ; Kenji Yajima and Guoping Zhang ; Kazushi Yoshitomi