Applications of Self-Adjoint Extensions in Quantum Physics: Proceedings of a Conference Held at the Laboratory of Theoretical Physics, JINR, Dubna, USSR, September 29-October 1, 1987

by Pavel Exner (editor)

Zero-range interactions with an internal structure.- Evolution equations and selfadjoint extensions.- Energy-dependent interactions and the extension theory.- On perturbations for self-adjoint generators of feller processes.- Singular perturbations defined by forms.- Covariant markovian random fields in four space-time dimensions with nonlinear electromagnetic interaction.- Point interaction Hamiltonians for crystals with random defects.- Scattering on a random point potential.- Faddeev equations for three composite particles.- On the point interaction of three particles.- A resonating- group model with extended channel spaces.- The problem of a few quasi-particles in solid-state physics.- Surfaces with an internal structure.- Spectral properties of the laplacian with attractive boundary conditions.- Quantum junctions and the self-adjoint extensions theory.- The extension theory and diffraction problems.- Hamiltonians with additional kinetic energy terms on hypersurfaces.- Thin lattices as waveguides.- Quantum waveguides.- An exactly solvable model of a crystal with non-point atoms.

288 pages, Paperback

Published March 12, 2014