@article{LudewigRosenberger2020,
  author    = {Ludewig, Matthias and Rosenberger, Elke},
  title     = {Asymptotic eigenfunctions for Schr{\"o}dinger operators on a vector bundle},
  series = {Reviews in mathematical physics},
  volume    = {32},
  journal   = {Reviews in mathematical physics},
  number    = {7},
  publisher = {World Scientific},
  address   = {Singapore},
  issn      = {0129-055X},
  doi       = {10.1142/S0129055X20500208},
  pages     = {28},
  year      = {2020},
  abstract  = {In the limit (h) over bar -> 0, we analyze a class of Schr{\"o}dinger 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.},
  language  = {en}
}