Effet tunnel pour des puits sous-variétés
Effet Zeeman pour un électron de Dirac
Effets dispersifs dans les équations de Schrödinger et de Vlasov
Egorov theorems and equidistribution of eigenfunctions for the quantized sawtooth and Baker maps
Eigenfunction expansions of functions describing systems with symmetries.
Eigenfunctions of the laplacian, quantum chaos, and computation
Eigenmodes of the damped wave equation and small hyperbolic subsets
We study stationary solutions of the damped wave equation on a compact and smooth Riemannian manifold without boundary. In the high frequency limit, we prove that a sequence of -damped stationary solutions cannot be completely concentrated in small neighborhoods of a small fixed hyperbolic subset made of -damped trajectories of the geodesic flow.The article also includes an appendix (by S. Nonnenmacher and the author) where we establish the existence of an inverse logarithmic strip without eigenvalues...
Eigenvalue asymptotics for the Dirac operator in strong constant magnetic fields.
Eigenvalue asymptotics for the Pauli operator in strong nonconstant magnetic fields
We consider the Pauli operator selfadjoint in , . Here , , are the Pauli matrices, is the magnetic potential, is the coupling constant, and is the electric potential which decays at infinity. We suppose that the magnetic field generated by satisfies some regularity conditions; in particular, its norm is lower-bounded by a positive constant, and, in the case , its direction is constant. We investigate the asymptotic behaviour as of the number of the eigenvalues of smaller than...
Eigenvalue asymptotics of the even-dimensional exterior Landau-Neumann Hamiltonian.
Eigenvalue distribution of random operators and matrices
Eigenvalues of conformally invariant operators on spheres
Eigenvectors of open Bazhanov-Stroganov quantum chain.
Eight exactly solvable complex potentials in Bender-Boettcher quantum mechanics
This is a readable review of recent work on non-Hermitian bound state problems with complex potentials. A particular example is the generalization of the harmonic oscillator with the potentials: Other examples include complex generalizations of the Morse potential, the spiked radial harmonic potential, the Kratzer-Coulomb potential, the Rosen Morse oscillator and others. Instead of demanding Hermiticity the condition required is where changes the parity and transforms to .
Ein Beitrag zur Theorie der Orthogonalität auf Mengen
Einstein-Riemann gravity on deformed spaces.
Einstein-Yang Mills equations for gauge transformations of second order.
Electronic density at the nucleus. On a conjecture of Lieb
Electronic properties of disclinated nanostructured cylinders
The electronic structure of the nanocylinder is investigated. Two cases of this kind of the nanostructure are explored: the defect-free nanocylinder and the nanocylinder whose geometry is perturbed by 2 heptagonal defects lying on the opposite sides. The characteristic quantity which is of our interest is the local density of states. To calculate it, the continuum gauge field-theory model will be used. In this model, the Dirac-like equation is solved on a curved surface. This procedure was used...
Electroweak interaction model with an undegenerate double symmetry.