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Exponential decay of eigenfunctions and generalized eigenfunctions of a non‐self‐adjoint matrix Schrödinger operator related to NLS
Author(s) -
Hundertmark Dirk,
Lee YoungRan
Publication year - 2007
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/bdm065
Subject(s) - eigenfunction , mathematics , eigenvalues and eigenvectors , operator (biology) , exponential function , mathematical physics , mathematical analysis , self adjoint operator , schrödinger's cat , matrix (chemical analysis) , exponential decay , quantum mechanics , physics , chemistry , hilbert space , biochemistry , repressor , transcription factor , gene , chromatography
We study the decay of eigenfunctions of the non‐self‐adjoint ℋ = (− Δ + μ + UW− WΔ − μ − U) , for μ > 0, corresponding to eigenvalues in the strip ‐μ < Re E < μ.