Mathematical Results In Quantum Mechanics - Proceedings Of The Qmath12 Conference (With Dvd-Rom)

Mathematical Results In Quantum Mechanics - Proceedings Of The Qmath12 Conference (With Dvd-Rom)


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Product Details

ISBN-13: 9789814618137
Publisher: World Scientific Publishing Company, Incorporated
Publication date: 11/13/2014
Edition description: Reprint
Pages: 396
Product dimensions: 6.70(w) x 9.90(h) x 1.00(d)

Table of Contents

Preface v

Committees vii

Part A Plenary talks 1

A bound for the eigenvalue counting function for higher-order Krein Laplacians on open sets F. Gesztesy M. Mitrea S. Sukhtaiev A. Laptev 3

Trace formulae for the asymptotic density of eigenvalue clusters for the perturbed Landau Hamiltonian T. Lungenstrass G. D. Raikov 31

On long range behaviour of van der Waals force I. Anapolitanos I. M. Sigal 47

Quantum spin correlations and random loops D. Ueltschi 77

Equidistribution estimates for eigenfunctions and eigenvalue bounds for random operators D. Borisov M. Tauienhahn I. Veselic 89

Part B Invited Section Talks 101

Vector quantum fields J. Derczinski 103

On the BCS gap equation for superfluid term ionic gases G. Bräunlich G. Hainzl R. Seiringer 127

Improved Hardy inequality in twisted tubes H. Kovarik 139

Microscopic foundations of Ohm and Joule's laws - The relevance of thermodynamics J.-B. Bru W. de Siqueira Pedra 151

The quantum marginal problem C. Schilling 165

Hartree-Fock dynamics for weakly interacting fermions N. Benedikter M. Porta B. Schlein 177

Part C Contributed talks 191

On the ground state energy of the multipolaron in the strong coupling limit I. Anapolitanos B. Landon 193

A variation on Smilansky's model D. Baraeghyan P. Exner 201

Deriving the Gross-Pitaevskii equation N. Benedikter 207

Boundary triplets approach for Dirac operator A. A. Boitsε ν 213

Bose-Einstein condensation on quantum graphs J. Bolte J. Kerner 221

Description of quantum and classical dynamics via Feynman formulae Ya. A. Butko 227

Asymptotic observables. propagation estimates and the problem of asymptotic completeness in algebraic QFT W. Dybalski 235

Recent probabilistic results on co variant Schrödinger operators on infinite weighted graphs B. Güneysu O. Milatovic 245

Resolvent expansion for the discrete one-dimensional Schrödinger operator K. Ito A. Jensen 253

Spectral asymptotics for a δ' interaction supported by an infinite curve M. Jex 259

Asymptotically predefined spectral gaps for the Neumann Laplacian in periodic domains A. Khrabustovskyi 267

Graph model for the Stokes flow M. O. Kovaleva I. Yu. Popov 275

Point contacts and boundary triples V. Lotoreichik H. Neidhardt I. Yu. Popov 283

Trace formulas for singular and additive non-selfadjoint perturbations M. M. Malamud H. Neidhardt 295

On δ-couplings at graph vertices S. S. Manko 305

Stochastic calculus and non-relativistic QED B. Güneysu O. Matte J. S. Møller 315

Estimates for numbers of negative eigenvalues of Laplacian for Y-type chain of weakly coupled ball resonators A. S. Melikhova 325

On therinodynamical couplings of quantum mechanics and macroscopic systems A. Mielke 331

Almost sure purely singular continuous spectrum for quasicrystal models C. Seifert 349

Adiabatic theorems with and without spectral gap condition for non-semisimple spectral values J. Schmid 355

An eigenvalue counting theorem with applications to random Schrödinger operators D. Schmidt 363

System of fermions with zero-range interactions A. Teta 371

List of registered participants 377

Author index 383

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