Title | Mathematical Results in Quantum Mechanics [electronic resource] : International Conference in Blossin (Germany), May 17-21, 1993 / edited by M. Demuth, P. Exner, H. Neidhardt, V. Zagrebnov |
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Imprint | Basel : Birkhรคuser Basel : Imprint: Birkhรคuser, 1994 |
Connect to | http://dx.doi.org/10.1007/978-3-0348-8545-4 |
Descript | X, 358 p. online resource |
1 Schrรถdinger and Dirac operators -- Discrete spectrum of the periodic Schrรถdinger operator for non-negative perturbations -- The discrete spectrum in a gap of the continuous one for compact supported perturbations -- Schrรถdinger operators with strong local magnetic perturbations: Existence of eigenvalues in gaps of the essential spectrum -- Regularity of the nodal sets of solutions to Schrรถdinger equations -- Results in the spectral theory of Schrรถdinger operators with wide potential barriers -- Stark ladders and perturbation theory -- Singular potentials: algebraization -- Asymptotic behavior of the resolvent of the Dirac operator -- Discrete spectrum of the perturbed Dirac operator -- 2 Generalized Schrรถdinger operators -- The spectrum of Schrรถdinger operators in Lp(Rd) and in C0(Rd) -- On spectral properties of generalized Schrรถdinger operators -- A Fermi-type rule for contact embedded-eigenvalue perturbations -- A simple model for predissociation -- Scattering on several solenoids -- Hall conductance of Riemann surfaces -- 3 Stochastic spectral analysis -- Framework and results of stochastic spectral analysis -- Occupation time asymptotics to the decay of eigenfunctions -- Holomorphic semigroups and Schrรถdinger equations -- Some problems on submarkovian semigroups -- Smoothness estimates and uniqueness for the Dirichlet operator -- Trace ideal properties of perturbed Dirichlet semigroups -- Quantum dynamical semigroups -- 4 Many-body problems and statistical physics K.B. Sinha -- Limits of infinite order, dimensionality or number of components for random finite-difference operators -- Atoms at finite density and temperature and the spectra of reduced density matrices -- Quantum fluctuations in the many-body problem -- General Hamiltonians and model Hamiltonians -- Poisson fields representations in the statistical mechanics of conitinuous systems -- Exact ground states for quantum spin chains -- The spectrum of the spin-boson model -- A survey of Wigner-Poisson problems -- 5 Chaos -- Classical dโAlembert field in an one-dimensional pulsating region -- Irregular scattering in one-dimensional periodically driven systems -- Relatively random unitary operators -- 6 Operator theory and its application -- A trace formula for obstacles problems and applications -- Propagation in irregular optic fibres -- Singular perturbations, regularization and extension theory -- Adiabatic reduction theory. Semiclassical S-matrix for N-state one-dimensional systems -- The functional structure of the monodromy matrix for Harperโs equation -- Eigenfunction expansion of right definite multiparameter problems -- Singularly perturbed operators -- Some problems of p-adic quantum theory