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Focusing on semiclassical microlocal analysis, this comprehensive five-volume monograph aims to derive precise spectral asymptotics for various partial differential operators. It explores the propagation of singularities and employs variational estimates in small domains to examine more complex domains with different singularities. The developed theory is then applied to the Magnetic Schrödinger operator and various problems in multiparticle quantum theory, providing valuable insights into these advanced mathematical concepts.
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Microlocal Analysis, Sharp Spectral Asymptotics and Applications V, Victor Ivrii
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- 2019
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