Semiclassical approximation for Schrödinger operators on a two-sphere at high energy

Journal of Mathematical Physics

Volumn 36, Issue 10, 1995, Pages 5480-5505

  Thomas, Lawrence E ^a   Wassell, Stephen R ^b  

^a UNIVERSITY OF VIRGINIA   (United States)

^b SWEET BRIAR COLLEGE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21844506857     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.531273     Document Type: Article

References (19)

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2. On a Hilbert space of analytic functions and an associated integral transform I
3. On the representations of the rotation group
4. Semiclassical approximation for Schrödinger operators at high energy Schrödinger Operators, the Quantum Mechanical Many-Body Problem
5. On the conservation of quasiperiodic motions for a small change in the Hamiltonian function
6. Proof of a theorem of A. N. Kolmogorov on the invariance of quasiperiodic motions under small perturbations of the Hamiltonian
7. A rapidly convergent iteration method and nonlinear partial differential equations
8. A construction of quasimodes using coherent states
9. Asymptotics of eigenvalue clusters for the Laplacian plus a potential
10. Some spectral results on rank one symmetric spaces
11. Band asymptotics in two dimensions
12. Le spectre conjoint d’operateurs pseudodifferentials qui commutent: Le cas integrable
13. Eigenvalue distribution theorem for certain homogeneous spaces
14. The Laplace operator with potential on the two-sphere
15. A symbol calculus for a class of pseudodifferential operators on Sn and band asymptotics
16. Zonal Schrödinger operators on the n-sphere: Inverse spectral problem and rigidity
17. Quantized Neumann problem, separable potentials on [formula omitted] and the Lamé equation