On the Spectrum of Schrödinger Operators at the Half Space with a Certain Class of Boundary Conditions | Zendy

Manfred Schröder | Zendy

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On the Spectrum of Schrödinger Operators at the Half Space with a Certain Class of Boundary Conditions

Author(s) -

Manfred Schröder

Publication year - 1988

Publication title -

zeitschrift für analysis und ihre anwendungen

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.567

H-Index - 35

eISSN - 1661-4534

pISSN - 0232-2064

DOI - 10.4171/zaa/301

Subject(s) - spectrum (functional analysis) , class (philosophy) , schrödinger's cat , mathematics , space (punctuation) , boundary (topology) , boundary value problem , mathematical analysis , pure mathematics , physics , computer science , quantum mechanics , artificial intelligence , operating system

For the understanding of surface effects it is useful to consider the motion of particles in domains with position-dependent -boundary conditions. In the one-dimensional case it has been shown that the operator H = —d 2/dx 2 with boundary conditions. = q(0), q € R, is the norm resolvent limit of —d 2/dx2 ± nV(nx) with Neumann boundary conditions for n -* oc, where V is an L 1 -function satisfying

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