Exact theory for the quantum eigenstates of a strongly chaotic system (Q804333)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Exact theory for the quantum eigenstates of a strongly chaotic system |
scientific article; zbMATH DE number 4201738
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Exact theory for the quantum eigenstates of a strongly chaotic system |
scientific article; zbMATH DE number 4201738 |
Statements
Exact theory for the quantum eigenstates of a strongly chaotic system (English)
0 references
1991
0 references
Consider the classical system of a point particle free to move on a compact Riemannian surface of constant negative curvature. This system exhibits a strongly chaotic behaviour under suitable circumstances. The authors give an exact description of the corresponding quantum eigenstates of this system. The main result relates suitably smoothed sums over the quantum wave function to a kind of classical orbit length spectrum.
0 references
classical system of a point particle
0 references
compact Riemannian surface of constant negative curvature
0 references
strongly chaotic behaviour
0 references
quantum wave function
0 references
classical orbit length spectrum
0 references
