The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
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.
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.
We prove a formula for the current in an electron gas in a semiclassical limit
corresponding to strong, constant, magnetic fields. Little regularity is assumed for the
scalar potential . In particular, the result can be applied to the mean field from
magnetic Thomas-Fermi theory . The proof is based on an estimate on the
density of states in the second Landau band.
In this paper we prove a two-term asymptotic formula for the spectral counting function for a D magnetic Schrödinger operator on a domain (with Dirichlet boundary conditions) in a semiclassical limit and with strong magnetic field. By scaling, this is equivalent to a thermodynamic limit of a D Fermi gas submitted to a constant external magnetic field.The original motivation comes from a paper by H. Kunz in which he studied, among other things, the boundary correction for the grand-canonical pressure...
We consider two atomic transitions excited by two variable laser fields in a three-level system. We study the soliton-pair propagation out of resonance and under thermal bath effect. We present general analytical implicit expression of the soliton-pair shape. Furthermore, we show that when the coupling to the environment exceeds a critical value, the soliton-pair propagation through three-level atomic system will be prohibited.
We review some recent results concerning Gibbs measures for nonlinear Schrödinger
equations (NLS), with implications for the theory of the NLS, including stability and
typicality of solitary wave structures. In particular, we discuss the Gibbs measures of
the discrete NLS in three dimensions, where there is a striking phase transition to
soliton-like behavior.
In this paper we prove the existence of infinitely many solutions of the Dirac-Fock equations with electrons turning around a nucleus of atomic charge , satisfying and , where is the fundamental constant of the electromagnetic interaction (approximately 1/137). This work is an improvement of an article of Esteban-Séré, where the same result was proved under more restrictive assumptions on .
We present a sparse grid/hyperbolic cross discretization for many-particle problems.
It involves the tensor product of a one-particle multilevel basis. Subsequent truncation of the associated series expansion then results in a sparse grid discretization.
Here, depending on the norms involved, different variants of sparse grid techniques for many-particle spaces can be derived
that, in the best case, result in complexities and error estimates which are independent of the number of particles.
Furthermore...
Currently displaying 1 –
20 of
30