Scattering phases and density of states for exterior domains
Scattering theory for 3-particle systems in constant magnetic fields : dispersive case
We develop a scattering theory for quantum systems of three charged particles in a constant magnetic field. For such systems, we generalize our earlier results in that we make no additional assumptions on the electric charges of subsystems. The main difficulty is the analysis of the scattering channels corresponding to the motion of the bound states of the neutral subsystems in the directions transversal to the field. The effective kinetic energy of this motion is given by certain dispersive Hamiltonians;...
Scattering theory for plektons in 2 + 1 dimensions
Scattering theory for quantum dynamical semigroups. — II
Scattering theory for time-dependent zero-range potentials
Scattering theory: Some old and new problems.
Schrödinger Operator on the Zigzag Half-Nanotube in Magnetic Field
We consider the zigzag half-nanotubes (tight-binding approximation) in a uniform magnetic field which is described by the magnetic Schrödinger operator with a periodic potential plus a finitely supported perturbation. We describe all eigenvalues and resonances of this operator, and theirs dependence on the magnetic field. The proof is reduced to the analysis of the periodic Jacobi operators on the half-line with finitely supported perturbations.
Schrödinger operator with magnetic field in domain with corners
We present here a simplified version of results obtained with F. Alouges, M. Dauge, B. Helffer and G. Vial (cf [4, 7, 9]). We analyze the Schrödinger operator with magnetic field in an infinite sector. This study allows to determine accurate approximation of the low-lying eigenpairs of the Schrödinger operator in domains with corners. We complete this analysis with numerical experiments.
Schrödinger operators with Highly Singular, Oscillating Potentials.
Schrödinger-like dilaton gravity.
Schwarzian derivative related to modules of differential operators on a locally projective manifold
We introduce a 1-cocycle on the group of diffeomorphisms Diff(M) of a smooth manifold M endowed with a projective connection. This cocycle represents a nontrivial cohomology class of Diff(M) related to the Diff(M)-modules of second order linear differential operators on M. In the one-dimensional case, this cocycle coincides with the Schwarzian derivative, while, in the multi-dimensional case, it represents its natural and new generalization. This work is a continuation of [3] where the same problems...
Schwinger terms, gerbes, and operator residues
Schwinger-Fronsdal theory of abelian tensor gauge fields.
Second order superintegrable systems in three dimensions.
Second-order conformally equivariant quantization in dimension .
Seeable matter; unseeable antimatter
The universe we see gives every sign of being composed of matter. This is considered a major unsolved problem in theoretical physics. Using the mathematical modeling based on the algebra , an interpretation is developed that suggests that this seeable universe is not the whole universe; there is an unseeable part of the universe composed of antimatter galaxies and stuff, and an extra 6 dimensions of space (also unseeable) linking the matter side to the antimatter—at the very least.
Self-adjointness of lattice Yang-Mills hamiltonians and Kato's inequality with indefinite metric
Self-adjointness of Schrödinger-type operators with singular potentials on manifolds of bounded geometry.
Self-localized quasi-particle excitation in quantum electrodynamics and its physical interpretation.
Self-similar solutions for nonlinear Schrödinger equations.