Agmon estimates for the difference of exact and approximate Dirichlet eigenfunctions for difference operators

DOI10.3233/ASY-151343zbMath1347.39020MaRDI QIDQ2816226

Elke Rosenberger, Markus Klein

Publication date: 4 July 2016

Published in: Asymptotic Analysis (Search for Journal in Brave)

zbMATH Keywords

difference operatorsasymptotic expansionstunnelingAgmon estimatesDirichlet eigenfunctionsmulti-well potentialsemi-classical difference operator

Mathematics Subject Classification ID

Eigenvalue problems for linear operators (47A75) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Discrete version of topics in analysis (39A12) Difference operators (39A70) Linear difference operators (47B39) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items

The tunneling effect for a class of difference operators ⋮ Tunneling for a class of difference operators: complete asymptotics ⋮ Riesz decompositions for Schrödinger operators on graphs

Cites Work

• Tunneling for a class of difference operators
• Agmon-type estimates for a class of difference operators
• Harmonic approximation of difference operators
• Metastability and low lying spectra in reversible Markov chains
• Asymptotic Eigenfunctions for a class of Difference Operators
• Multiple wells in the semi-classical limit I
• Agmon‐type estimates for a class of jump processes