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- Title
Noncompact Lagrangian manifolds corresponding to the spectral series of the Schrödinger operator with delta-potential on a surface of revolution.
- Authors
Ratiu, T.; Filatova, T.; Shafarevich, A.
- Abstract
The article presents a study which describes the Lagrangian manifolds that determine the Schrödinger operator with delta-potential on a 2-surface of revolution. It mentions that the nonstandard quantization conditions were used to calculate the asymptotics of the eigenvalues of the Schrödinger operator. It states that the monodromy of the equation which was the spectral problem for the operator H that reduces after the variables separation was the basis of the proof of the theorem. It says that the asymptotics of eigenvector was determined by using the complex WKB method.
- Subjects
NUMERICAL solutions to Lagrange equations; MATHEMATICS theorems; SCHRODINGER equation; GEOMETRIC quantization; ASYMPTOTIC distribution; MONODROMY groups; SPECTRAL quantities; MATHEMATICAL variables; EIGENVALUES; EIGENVECTORS
- Publication
Doklady Mathematics, 2012, Vol 86, Issue 2, p694
- ISSN
1064-5624
- Publication type
Article
- DOI
10.1134/S1064562412050365