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Reduction, the trace formula, and semiclassical asymptotics

We state a theorem that relates the theory of dimensional reduction in Hamiltonian mechanics to the spectral properties of elliptic operators with symmetries on compact manifolds. As an application, we show that the spectrum of the Schrödinger operator, -[unk]hΔ + V, as [unk]h → 0, contains geometri...

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Dades bibliogràfiques
Publicat a:Proc Natl Acad Sci U S A
Autors principals: Guillemin, Victor, Uribe, Alejandro
Format: Artigo
Idioma:Inglês
Publicat: National Academy of Sciences 1987
Matèries:
Accés en línia:https://ncbi.nlm.nih.govhttps://pmc.ncbi.nlm.nih.gov/articles/PMC299394/
https://ncbi.nlm.nih.govhttps://pubmed.ncbi.nlm.nih.gov/16593889/
https://ncbi.nlm.nih.govhttps://doi.org/10.1073/pnas.84.22.7799
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