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Wave Propagation through sparse potential barriers
Author(s) -
Denisov Sergey A.
Publication year - 2008
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/cpa.20184
Subject(s) - wkb approximation , mathematics , eigenvalues and eigenvectors , operator (biology) , spectrum (functional analysis) , schrödinger's cat , function (biology) , mathematical physics , pure mathematics , mathematical analysis , quantum mechanics , physics , chemistry , biochemistry , repressor , evolutionary biology , biology , transcription factor , gene
We prove that the three‐dimensional Schrödinger operator with slowly decaying sparse potential has an a.c. spectrum that fills ℝ + . A new kind of WKB asymptotics for Green's function is obtained. The absence of positive eigenvalues is established as well. © 2007 Wiley Periodicals, Inc.