We give a self-contained presentation of the theory of self-adjoint extensions using the
technique of boundary triples. A description of the spectra of self-adjoint extensions in terms …

Page 1 I FUNCTIONAL NTEGRATION AND QUANTUM PHYSICS SECOND EDITION BARRY
SIMON AMS CHELSEA PUBLISHING American Mathematical Society • Providence, Rhode Island …

Path integral representations for generalized Schrödinger operators obtained under a class
of Bernstein functions of the Laplacian are established. The one-to-one correspondence of …

This monograph offers a state-of-the-art mathematical account of functional integration
methods in the context of self-adjoint operators and semigroups using the concepts and …

Covariant Schrödinger Semigroups on Riemannian Manifolds Page 1 Operator Theory
Advances and Applications 264 Covariant Schrödinger Semigroups on Riemannian Manifolds …

We survey some aspects of the theory of the integrated density of states (IDS) of random
Schrödinger operators. The first part motivates the problem and introduces the relevant …

One of the most challenging problems of modern physics is the connection between the
macroscopic and the microscopic world, that is between classical and quantum mechanics …

Random Schrödinger operators are models for the quantum mechanical description of
disordered media. The main aim of the analysis of such models is the understanding of the …

For a magnetic Hamiltonian on a half-plane given by the sum of the Landau operator with
Dirichlet boundary conditions and a random potential, a quantization theorem for the edge …

The capabilities of the functional–analytic and of the functional–integral approach for the
construction of the Hamiltonian as a self‐adjoint operator on Hilbert space are compared in …