CLUSTER PROPERTIES OF ONE PARTICLE SCHRÖDINGER OPERATORS

DOI10.1142/S0129055X94000250zbMath0813.47011OpenAlexW2085154802MaRDI QIDQ4318645

Vadim Kostrykin, Robert Schrader

Publication date: 16 February 1995

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129055x94000250

zbMATH Keywords

Laplace transformsspectral shift functionstotal phase shiftcluster properties of one particle Schrödinger operatorson-shell \(S\)- matrix elementstraces of the differences of appropriate heat kernels

Mathematics Subject Classification ID

General theory of partial differential operators (47F05) Schrödinger operator, Schrödinger equation (35J10) (S)-matrix theory, etc. in quantum theory (81U20) Scattering theory of linear operators (47A40)

Related Items (11)

THE DENSITY OF STATES AND THE SPECTRAL SHIFT DENSITY OF RANDOM SCHRÖDINGER OPERATORS ⋮ SCATTERING THEORY APPROACH TO RANDOM SCHRÖDINGER OPERATORS IN ONE DIMENSION ⋮ Time delay in scattering by potentials and by magnetic fields with two supports at large separation ⋮ Resolvents of operators with distant perturbations ⋮ On the resolvent of elliptic operators with distant perturbations in the space ⋮ On occurrence of resonances from multiple eigenvalues of the Schrödinger operator in a cylinder with distant perturbations ⋮ Tunneling resonances in systems without a classical trapping ⋮ Aharonov-Bohm effect in resonances of magnetic Schrödinger operators with potentials with supports at large separation ⋮ The generalized star product and the factorization of scattering matrices on graphs ⋮ SEMICLASSICAL ANALYSIS FOR SPECTRAL SHIFT FUNCTIONS IN MAGNETIC SCATTERING BY TWO SOLENOIDAL FIELDS ⋮ Cluster Properties of One Particle Schrödinger Operators. II

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