Refine
Has Fulltext
- no (8)
Document Type
- Article (8) (remove)
Language
- English (8)
Is part of the Bibliography
- yes (8)
Keywords
- WKB-expansion (2)
- Complete asymptotics (1)
- Decay of eigenfunctions (1)
- Dirichlet-form (1)
- Finsler distance (1)
- Laplace-type operator (1)
- Quasimodes (1)
- Schrödinger operators (1)
- Semi-classical analysis (1)
- Spectral gap (1)
Institute
In the limit (h) over bar -> 0, we analyze a class of Schrödinger operators H-(h) over bar = (h) over bar L-2 + (h) over barW + V .id(epsilon) acting on sections of a vector bundle epsilon over a Riemannian manifold M where L is a Laplace type operator, W is an endomorphism field and the potential energy V has a non-degenerate minimum at some point p is an element of M. We construct quasimodes of WKB-type near p for eigenfunctions associated with the low-lying eigenvalues of H-(h) over bar. These are obtained from eigenfunctions of the associated harmonic oscillator H-p,H-(h) over bar at p, acting on smooth functions on the tangent space.