TY  - JOUR
A1  - Klein, Markus
A1  - Rosenberger, Elke
T1  - Asymptotic eigenfunctions for a class of difference operators
T2  - Asymptotic analysis
N2  - We analyze a general class of difference operators H(epsilon) = T(epsilon) + V(epsilon) on l(2)((epsilon Z)(d)), where V(epsilon) is a one-well potential and epsilon is a small parameter. We construct formal asymptotic expansions of WKB-type for eigenfunctions associated with the low lying eigenvalues of H(epsilon). These are obtained from eigenfunctions or quasimodes for the operator H(epsilon), acting on L(2)(R(d)), via restriction to the lattice (epsilon Z)(d).
KW  - difference operator
KW  - tunneling
KW  - WKB-expansion
KW  - quasimodes
Y1  - 2011
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/37137
SN  - 0921-7134
VL  - 73
IS  - 1-2
SP  - 1
EP  - 36
PB  - IOS Press
CY  - Amsterdam
ER  -