Titlebook: Mathematical Results in Quantum Mechanics; International Confer M. Demuth,P. Exner,V. Zagrebnov Book 1994 Springer Basel AG 1994 Generator.

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Seminar

The discrete spectrum in a gap of the continuous one for compact supported perturbationst’s character is determined by the behavior of the symbol |ξ|. - α.(.) for large |ξ| only. In [BS1] the asymptotics of ..(α,∈) are discussed precisely for potentials violating the assumption . because of a slow decrease as |.| → ∞ (“.”).

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Asymptotic Behavior of the Resolvent of the Dirac Operator is well-known that the liming absorption principle holds for the Dirac operator (1.1) and, as a result, that the extended resolvents . exist for any real value A with |∈| > 1. The limiting absorption principle has a close connection with the spectral and scattering theory for the Dirac operator.

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Saline

Scattering on Several Solenoidsion of the symmetric operator . = −Δ, with ., determined by boundary conditions on the first coordinate axis. The wave operators . exist and are complete. Generalized eigen-functions of . giving a stationary picture of the scattering are constructed.

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