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.
Semibounded Unitary Representations of Double Extensions of Hilbert–Loop Groups
A unitary representation of a, possibly infinite dimensional, Lie group is called semibounded if the corresponding operators from the derived representation are uniformly bounded from above on some non-empty open subset of the Lie algebra of . We classify all irreducible semibounded representations of the groups which are double extensions of the twisted loop group , where is a simple Hilbert–Lie group (in the sense that the scalar product on its Lie algebra is invariant) and is...
Semiclassical analysis of low lying eigenvalues. I. Non degenerate minima : asymptotic expansions
Semiclassical analysis of low lying eigenvalues. I. Non-degenerate minima : asymptotic expansions
Semiclassical and weak-magnetic-field eigenvalue asymptotics for the Schrödinger operator with electromagnetic potential
Semi-classical approximation and microcanonical ensemble
Semiclassical asymptotics for exchange energy
Semi-classical eigenstates at the bottom of a multidimensional well
Semiclassical expansion for the thermodynamic limit of the ground state energy of Kac's operator
We continue the study started by the first author of the semiclassical Kac Operator. This kind of operator has been obtained for example by M. Kac as he was studying a 2D spin lattice by the so-called “transfer operator method”. We are interested here in the thermodynamical limit of the ground state energy of this operator. For Kac’s spin model, is the free energy per spin, and the semiclassical regime corresponds to the mean-field approximation. Under suitable assumptions, which are satisfied...
Semi-classical formula beyond the Ehrenfest time in quantum chaos. (I) Trace formula
We consider a nonlinear area preserving Anosov map on the torus phase space, which is the simplest example of a fully chaotic dynamics. We are interested in the quantum dynamics for long time, generated by the unitary quantum propagator . The usual semi-classical Trace formula expresses for finite time , in the limit , in terms of periodic orbits of of period . Recent work reach time where is the Ehrenfest time, and is the Lyapounov coefficient. Using a semi-classical normal form...
Semiclassical limit and well-posedness of nonlinear Schrödinger-Poisson systems.
Semiclassical limit for perturbations of non-resonant rotators
Semiclassical Limit of the cubic nonlinear Schrödinger Equation concerning a superfluid passing an obstacle
In this paper, we study the semiclassical limit of the cubic nonlinear Schrödinger equation with the Neumann boundary condition in an exterior domain. We prove that before the formation of singularities in the limit system, the quantum density and the quantum momentum converge to the unique solution of the compressible Euler equation with the slip boundary condition as the scaling parameter approaches