Semiclassical asymptotics of the matrix Sturm-Liouville problem (Q881067)
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: Semiclassical asymptotics of the matrix Sturm-Liouville problem |
scientific article; zbMATH DE number 5155506
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Semiclassical asymptotics of the matrix Sturm-Liouville problem |
scientific article; zbMATH DE number 5155506 |
Statements
Semiclassical asymptotics of the matrix Sturm-Liouville problem (English)
0 references
21 May 2007
0 references
The authors consider the matrix Sturm-Liouville problem \[ (-ih\,d/dx)^2 y+A(x)y=Ey, \] where \(h\in[0,1)\) is a small parameter. They prove a new quantization condition for certain curves in the phase plane which intersect.
0 references
Sturm-Liouville problem
0 references
Bohr-Sommerfeld-Maslov quantization
0 references
WKB asymptotics
0 references
transfer equation
0 references
Maslov index
0 references
