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E-raamat: Mathematical Results In Quantum Mechanics - Proceedings Of The Qmath12 Conference (With Dvd-rom)

Edited by (Academy Of Sciences, Czechia & Doppler Inst For Mathl Physics & Applied Math, Prague, Czechia), Edited by (Wias Berlin, Germany), Edited by (Wias Berlin & Technische Univ Berlin, Germany)
  • Formaat: 396 pages
  • Ilmumisaeg: 13-Nov-2014
  • Kirjastus: World Scientific Publishing Co Pte Ltd
  • Keel: eng
  • ISBN-13: 9789814618151
  • Formaat - PDF+DRM
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  • Formaat: 396 pages
  • Ilmumisaeg: 13-Nov-2014
  • Kirjastus: World Scientific Publishing Co Pte Ltd
  • Keel: eng
  • ISBN-13: 9789814618151

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The book provides a comprehensive overview on the state of the art of the quantum part of mathematical physics. In particular, it contains contributions to the spectral theory of Schrödinger and random operators, quantum field theory, relativistic quantum mechanics and interacting many-body systems.It also presents an overview on the achievements in mathematical physics since the last conference QMath11 held at Hradec Kralove, Czechia in 2010.
Preface v
Committees vii
PART A Plenary talks
1(100)
A bound for the eigenvalue counting function for higher-order Krein Laplacians on open sets
3(28)
F. Gesztesy
M. Mitrea
S. Sukhtaiev
A. Laptev
Trace formulae for the asymptotic density of eigenvalue clusters for the perturbed Landau Hamiltonian
31(16)
T. Lungenstrass
G. D. Raikov
On long range behaviour of van der Waals force
47(30)
I. Anapolitanos
I. M. Sigal
Quantum spin correlations and random loops
77(12)
D. Ueltschi
Equidistribution estimates for eigenfunctions and eigenvalue bounds for random operators
89(12)
D. Borisov
M. Tautenhahn
I. Veselic
PART B Invited section talks
101(90)
Vector quantum fields
103(24)
J. Derezinski
On the BCS gap equation for superfluid fermionic gases
127(12)
G. Braunlich
C. Hainzl
R. Seiringer
Improved Hardy inequality in twisted tubes
139(12)
H. Kovarik
Microscopic foundations of Ohm and Joule's laws -- The relevance of thermodynamics
151(14)
J.-B. Bru
W. de Siqueira Pedra
The quantum marginal problem
165(12)
C. Schilling
Hartree-Fock dynamics for weakly interacting fermions
177(14)
N. Benedikter
M. Porta
B. Schlein
PART C Contributed talks
191(186)
On the ground state energy of the multipolaron in the strong coupling limit
193(8)
I. Anapolitanos
B. Landon
A variation on Smilansky's model
201(6)
D. Barseghyan
P. Exner
Deriving the Gross-Pitaevskii equation
207(6)
N. Benedikter
Boundary triplets approach for Dirac operator
213(8)
A. A. Boitsev
Bose-Einstein condensation on quantum graphs
221(6)
J. Bolte
J. Kerner
Description of quantum and classical dynamics via Feynman formulae
227(8)
Ya. A. Butko
Asymptotic observables, propagation estimates and the problem of asymptotic completeness in algebraic QFT
235(10)
W. Dybalski
Recent probabilistic results on covariant Schrodinger operators on infinite weighted graphs
245(8)
B. Guneysu
O. Milatovic
Resolvent expansion for the discrete one-dimensional Schrodinger operator
253(6)
K. Ito
A. Jensen
Spectral asymptotics for a δ' interaction supported by an infinite curve
259(8)
M. Jex
Asymptotically predefined spectral gaps for the Neumann Laplacian in periodic domains
267(8)
A. Khrabustovskyi
Graph model for the Stokes flow
275(8)
M. O. Kovaleva
I. Yu. Popov
Point contacts and boundary triples
283(12)
V. Lotoreichik
H. Neidhardt
I. Yu. Popov
Trace formulas for singular and additive non-selfadjoint perturbations
295(10)
M. M. Malamud
H. Neidhardt
On δ'-couplings at graph vertices
305(10)
S. S. Manko
Stochastic calculus and non-relativistic QED
315(10)
B. Guneysu
O. Matte
J. S. Møller
Estimates for numbers of negative eigenvalues of Laplacian for Y-type chain of weakly coupled ball resonators
325(6)
A. S. Melikhova
On thermodynamical couplings of quantum mechanics and macroscopic systems
331(18)
A. Mielke
Almost sure purely singular continuous spectrum for quasicrystal models
349(6)
C. Seifert
Adiabatic theorems with and without spectral gap condition for non-semisimple spectral values
355(8)
J. Schmid
An eigenvalue counting theorem with applications to random Schrodinger operators
363(8)
D. Schmidt
System of fermions with zero-range interactions
371(6)
A. Teta
List of registered participants 377(6)
Author index 383