Geodesic
Superscars in the Šeba billiard
Journal of the European Mathematical Society, Tome 19 (2017) no. 10, pp. 2947-2964 Cet article a éte moissonné depuis la source EMS Press

Voir la notice de l'article

We consider the Laplacian with a delta potential (a “point scatterer”) on an irrational torus, where the square of the side ratio is diophantine. The eigenfunctions fall into two classes—“old” eigenfunctions (75%) of the Laplacian which vanish at the support of the delta potential, and therefore are not affected, and “new” eigenfunctions (25%) which are affected, and as a result feature a logarithmic singularity at the location of the delta potential.
DOI : 10.4171/jems/732
Classification : 81-XX, 58-XX
Keywords: Superscars, Šeba billiard, semiclassical measures 
@article{JEMS_2017_19_10_a2,
     author = {P\"ar Kurlberg and Henrik Uebersch\"ar},
     title = {Superscars in the {\v{S}eba} billiard},
     journal = {Journal of the European Mathematical Society},
     pages = {2947--2964},
     year = {2017},
     volume = {19},
     number = {10},
     doi = {10.4171/jems/732},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/732/}
}
TY  - JOUR
AU  - Pär Kurlberg
AU  - Henrik Ueberschär
TI  - Superscars in the Šeba billiard
JO  - Journal of the European Mathematical Society
PY  - 2017
SP  - 2947
EP  - 2964
VL  - 19
IS  - 10
UR  - http://geodesic.mathdoc.fr/articles/10.4171/jems/732/
DO  - 10.4171/jems/732
ID  - JEMS_2017_19_10_a2
ER  - 
%0 Journal Article
%A Pär Kurlberg
%A Henrik Ueberschär
%T Superscars in the Šeba billiard
%J Journal of the European Mathematical Society
%D 2017
%P 2947-2964
%V 19
%N 10
%U http://geodesic.mathdoc.fr/articles/10.4171/jems/732/
%R 10.4171/jems/732
%F JEMS_2017_19_10_a2
Pär Kurlberg; Henrik Ueberschär. Superscars in the Šeba billiard. Journal of the European Mathematical Society, Tome 19 (2017) no. 10, pp. 2947-2964. doi: 10.4171/jems/732

Cité par Sources :