Titlebook: Applications of Self-Adjoint Extensions in Quantum Physics; Proceedings of a Con Pavel Exner,Petr ?eba Conference proceedings 1989 Springer

整體

Juliane Br?nzel,Dirk Engelmann,Olaf SchulzeThe aim of this lecture is to present a short summary of some aspects a mathematical construction developed at Leningrad University for two-body exactly solvable models with point interactions [1–3, 5–9].

闡釋

Energy-dependent interactions and the extension theory,The aim of this lecture is to present a short summary of some aspects a mathematical construction developed at Leningrad University for two-body exactly solvable models with point interactions [1–3, 5–9].

labile

Faddeev equations for three composite particles,the internal degrees of freedom in the external channels a certain. class of energy-dependent potentials is generated. By means of potential theory modified Faddeev equations are derived both in external and internal channels. We prove the fredholmity of these equations, what provides a sound basis for solving the addressed scattering problem.

insomnia

Irksome

DAUNT

GRAZE

Covariant markovian random fields in four space-time dimensions with nonlinear electromagnetic inteial equations, best interpreted as equations for quaternionic valued random fields. The fields are covariant under the proper Euclidean transformations. We give necessary and sufficient conditions in terms of a given source of the infinitely divisible type, for the fields to be covariant also under

vibrant

Point interaction Hamiltonians for crystals with random defects,imensional extensions of Kronig Penney‘s model). We discuss the mathematical definition of the Hamiltonian and its spectral properties in the case of perfect crystals, as well as in the case of crystals with deterministic or randomly distributed point defects. We also discuss the connection of such

instulate

Faddeev equations for three composite particles,the internal degrees of freedom in the external channels a certain. class of energy-dependent potentials is generated. By means of potential theory modified Faddeev equations are derived both in external and internal channels. We prove the fredholmity of these equations, what provides a sound basis

CHASM