Essential self-adjointness of many-particle hamiltonian operators of Schrödinger type with singular two-particle potentials

In the first part of this thesis we completed the dynamical study – previously undertook in [45] – of Wigner measure propagation for solutions of the Schrödinger equation with

In Section 3, which is specific to the considered model with growing sparse potentials, we obtain upper bounds for inside (Lemma 3.3) and outside probabilities and moments

— We define the magnetic Schr¨ odinger operator on an infinite graph by the data of a magnetic field, some weights on vertices and some weights on edges.. We discuss

Molekülen. VAN WINTER, Theory of finite systems of particles I. the Green function. ZHISLIN, On the finiteness of discrete spectrum in the n-particle problem. ZISLIN, A

On essential self-adjointness of the relativistic hamiltonian of a spinless particle in a negative scalar potential.. Annales

tions).. We consider the time dependent potential without the bounded part v2, which is a multiplication operator with the function. where denotes a permitted family of

Nevertheless we shall be able to construct spectral projections (not uniformly bounded) and to prove completeness, in a sense that will be made more precise below

We recall that there is a one-to-one correspondence between positive self-adjoint operators and closed positive quadratic forms, such that the domain of the closed