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- Title
Scarring for quantum maps with simple spectrum.
- Authors
Kelmer, Dubi
- Abstract
In [Kelmer, Scarring on invariant manifolds for perturbed quantized hyperbolic toral automorphisms, Comm. Math. Phys. 276 (2007), 381–395] we introduced a family of symplectic maps of the torus whose quantization exhibits scarring on invariant co-isotropic submanifolds. The purpose of this note is to show that in contrast to other examples, where failure of quantum unique ergodicity is attributed to high multiplicities in the spectrum, for these examples the spectrum is (generically) simple.
- Subjects
QUANTUM maps; INVARIANT manifolds; PERTURBATION theory; AUTOMORPHISMS; SYMPLECTIC manifolds; ERGODIC theory; MULTIPLICITY (Mathematics); TORUS
- Publication
Compositio Mathematica, 2011, Vol 147, Issue 5, p1608
- ISSN
0010-437X
- Publication type
Article
- DOI
10.1112/S0010437X10005270