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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| Опубліковано в:: | Proc Natl Acad Sci U S A |
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| Автори: | , |
| Формат: | Artigo |
| Мова: | Inglês |
| Опубліковано: |
National Academy of Sciences
1987
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| Предмети: | |
| Онлайн доступ: | 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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