Recent Developments in Quantum Mechanics

Revue sur la théorie des D-modules et modèles d’opérateurs pseudodifférentiells, A Survey on the Theory of D-modules. Models for Pseudodifferential Operators.- Fourier Transform and Differential Equations.- Excursions and Itô Calculus in Nelson’s Stochastic Mechanics.- Stark-Wannier Resonant States.- Spectral Properties of Adiabatically Perturbed Differential Operators with the Periodic Coefficients.- Quantum Tunnelling for Bloch Electrons in Small Electric Fields.- Asymptotic Invariant Subspaces; Abiabatic Theorems and Block Diagonalisation.- On the Quantum Hall-Effect.- Magnetic Schrödinger Operators and Effective Hamiltonians.- Perturbations of Supersymmetric Systems in Quantum Mechanics.- On the Eigenvalues of a Perturbed Harmonic Oscillator.- On Topics in Spectral and Stochastic Analysis for Schrödinger Operators.- Asymptotic Observables in the N-Body Quantum Long Range Scattering.- Spectral Properties of Bent Quantum Wires.- Eigenfunction Expansions for Hyperbolic Laplacians.- The Method of Differential Inequalities.- Supersymmetric Quantum Mechanics.- Propagation des singularités GEVREY pour la diffraction.- Reduction and Geometric Prequantization at the Cotangent Level.- Dirac Particles in Magnetic Fields.- On the Quasi-Stationary Approach to Scattering for Perturbations Periodic in Time.- Existence, Uniqueness and Some Properties of Schrödinger Propagators.