Title | Mathematical Results in Quantum Mechanics [electronic resource] : QMath7 Conference, Prague, June 22-26, 1998 / edited by Jaroslav Dittrich, Pavel Exner, Miloลก Tater |
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Imprint | Basel : Birkhรคuser Basel : Imprint: Birkhรคuser, 1999 |
Connect to | http://dx.doi.org/10.1007/978-3-0348-8745-8 |
Descript | X, 398 p. online resource |
I Plenary talks -- An adiabatic theorem without a gap condition -- Two-dimensional periodic Pauli operator. The effective masses at the lower edge of the spectrum -- Spectral problems in the theory of photonic crystals -- Optimal eigenvalues for some Laplacians and Schrรถdinger operators depending on curvature -- The spectral shift operator -- On the scattering operator for the Schrรถdinger equation with a time-dependent potential -- H_2-construction and some applications -- Scattering with time periodic potentials and cyclic states -- Some geometry related to decay properties of the resolvent of a class of symmetric operators -- On some asymptotic formulas in the strong localization regime of the theory of disordered systems -- Spectral measures and category -- Quantum dots. A survey of rigorous results -- II Session talks -- A simple model of concentrated nonlinearity -- Anomalous electron trapping by magnetic flux tubes and electric current vortices -- On the absolutely continuous energy distribution of a quantum mechanical system in a bounded domain -- Some aspects of generalized contact interaction in one-dimensional quantum mechanics -- Traces and trace norms for semigroup differences.. -- About a resolvent formula -- The determinant anomaly in low-dimensional quantum systems -- Linear Boltzmann equation as the weak coupling limit of the random Schrรถdinger equation -- Coexistence of different spectral types for almost periodic Schrรถdinger equations in dimension one -- Dynamical localization for random Schrรถdinger operators and an application to the almost Mathieu operator -- On fractal structure of the spectrum for periodic point perturbations of the Schrรถdinger operator with a uniform magnetic field -- A Weyl-Berry formula for the scattering operator associated to self-similar potentials on the line -- Localization and Lifshitz tails for random quantum waveguides -- Birman-Schwinger analysis for bound states in a pair of parallel quantum waveguides with a semitransparent boundary -- On the absolute continuity of spectra of periodic elliptic operators -- Hardy inequalities for magnetic Dirichlet forms -- Adiabatic curvature, chaos and the deformation of Riemann surfaces -- Operator interpretation of resonances arising in spectral problems for 2 x 2 matrix Hamiltonians -- On the operator-norm convergence of the Trotter-Kato product formula -- A particular case of the inverse problem for the Sturm-Liouville equation with parameter dependent potential -- One-dimensional Schrรถdinger operators with decaying potentials -- Stability of limiting absorption under singular perturbations -- Existence of averaging integrals for self-adjoint operators -- Monotonicity versus non-monotonicity in random operators -- A model in perturbation theory -- Band gap of the spectrum in periodically curved quantum waveguides -- A list of other talks -- A list of participants