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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 emphasizes the propagation of singularities and utilizes variational estimates in small domains to address more complex domains with different singularities. The developed theories and methods are then applied to the Magnetic Schrödinger operator and various problems in multiparticle quantum theory, showcasing the practical implications of the research.
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Microlocal Analysis, Sharp Spectral Asymptotics and Applications III, Victor Ivrii
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- 2019
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