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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饰带

Discrete spectrum of the periodic Schrödinger operator for non-negative perturbationse. If the matrix . is constant, then the operator . with the lattice periods .. is equivalent to the Schrödinger operator with arbitrary lattice periods. Further, together with . the perturbed operator.is considered where . behaves like.as |x| → ∈ The exact definition of the operators (1),(2) is giv

羽饰

TIGER

Results in the spectral theory of Schrödinger operators with wide potential barriersn recent years there was rising interest in spectral properties of deterministic potentials with some kind of irregular asymptotics near infinity. Here we consider (rapid enough) decay of a potential to zero or (asymptotic) periodicity as regular asymptotics, typically leading to isolated eigenvalue

委托

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.

tenosynovitis

Discrete spectrum of the perturbed Dirac operator Dirac operator in ..(ℝ.;ℂ.).and its pertubation by an operator of multiplication by the electric potential .(.).The spectrum of the operator .. is continuous and covers the complement of the interval (gap) (-1,1). The continuous spectrum of the operator .(α) coincides with the continuous spectrum o

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独白

搬运工

Hall conductance of Riemann surfacessentially go back to some old results on automorphic forms of arbitrary real weight [14]. Their physical interpretation in the context of magnetic fields, however, is new and leads to some natural generalizations. We refer to our joint paper [3]for background and results. Detailed proofs shall be pr

maverick

Framework and Results of Stochastic Spectral Analysis Free and perturbed Feller operators are introduced. Spectral theoretical results can be obtained by compactness, continuity in Kato-Feller norms, semi-classical and large coupling estimates. A collection of results illustrates each possibility.