The 2D Schrödinger equation for a neutral pair in a constant magnetic field
The Allegretto-Piepenbrink theorem for strongly local Dirichlet forms.
The Cauchy problem for the Gross–Pitaevskii equation
The Cauchy-Riemann equations in anticomuting variables
The classical field limit of non-relativistic bosons. II. Asymptotic expansions for general potentials
The classical limit of a class of quantum dynamical semigroups
The complex probability theory as a basis of quantum theory
The concentration-compactness principle in the calculus of variations. The locally compact case, part 1
The continuous Coupled Cluster formulation for the electronic Schrödinger equation
Nowadays, the Coupled Cluster (CC) method is the probably most widely used high precision method for the solution of the main equation of electronic structure calculation, the stationary electronic Schrödinger equation. Traditionally, the equations of CC are formulated as a nonlinear approximation of a Galerkin solution of the electronic Schrödinger equation, i.e. within a given discrete subspace. Unfortunately, this concept prohibits the direct application of concepts of nonlinear numerical analysis...
The difference equation related to the problem of the hydrogen atom in a strong magnetic field.
The effect of radiation on the stochastic web.
The essential spectrum of relativistic multi-particle operators
The essential spectrum of relativistic one-electron ions in the Jansen-Hess model.
The form boundedness criterion for the relativistic Schrödinger operator
We establish necessary and sufficient conditions on the real- or complex-valued potential defined on for the relativistic Schrödinger operator to be bounded as an operator from the Sobolev space to its dual .
The ground state energy of relativistic one-electron atoms according to Jansen and Heß.
The Heun equation and the Calogero-Moser-Sutherland system. II: Perturbation and algebraic solution.
The initial value problem for the quadratic nonlinear Klein-Gordon equation.
The integrability of new two-component KdV equation.
The level crossing problem in semi-classical analysis I. The symmetric case
We describe a microlocal normal form for a symmetric system of pseudo-differential equations whose principal symbol is a real symmetric matrix with a generic crossing of eigenvalues. We use it in order to give a precise description of the microlocal solutions.
The level crossing problem in semi-classical analysis. II. The Hermitian case
This paper is the second part of the paper ``The level crossing problem in semi-classical analysis I. The symmetric case''(Annales de l'Institut Fourier in honor of Frédéric Pham). We consider here the case where the dispersion matrix is complex Hermitian.