Mathematical Results in Quantum Mechanics: Proceedings of the Qmath10 Conference, 10-15 September 2007

by Beltita, Ingrid; Nenciu, Gheorghe; Purice, Radu

• ISBN13: 9789812832375
• ISBN10: 9812832378
• Format: Hardcover
• Copyright: 2008-08-11
• Publisher: World Scientific Pub Co Inc

Summary

The 10th Quantum Mathematics International Conference (Qmath 10) gave an opportunity to bring together specialists interested in that part of mathematical physics which is in close connection with various aspects of quantum theory. It was also meant to introduce young scientists and new tendencies in the field.

Table of Contents

Preface	p. v
Organizing Committees	p. xi
Charge transport and determinants	p. 1
The integrated density of states in strong magnetic fields	p. 15
Geometrical objects on matrix algebra	p. 22
Self-adjointness via partial Hardy-like inequalities	p. 41
Interlaced dense point and absolutely continuous spectra for Hamiltonians with concentric-shell singular interactions	p. 48
Pointwise existence of the Lyapunov exponent for a quasiperiodic equation	p. 66
Recent advances about localization in continuum random Schrodinger operators with an extension to underlying Delonne sets	p. 79
The thermodynamic limit of quantum Coulomb systems: A new approach	p. 97
Spectral properties of the BCS gap equation of superfluidity	p. 117
Spectral gaps for periodic Schrodinger operators with hypersurface magnetic wells	p. 137
Asymptotic entanglement in open quantum dynamics	p. 155
Repeated interactions quantum systems: Deterministic and random	p. 169
The mathematical model of scattering in stepwise waveguides	p. 190
Schrodinger operators with random [delta] magnetic fields	p. 203
Mean field limit for bosons and semiclassical techniques	p. 218
Variational principle for Hamiltonians with degenerate bottom	p. 231
Vortices and spontaneous symmetry breaking in rotating Bose gases	p. 241
The model of interlacing spatial permutations and its relation to the Bose gas	p. 255
Boson gas with BCS interactions	p. 273
Author Index	p. 297
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