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Focusing on semiclassical microlocal analysis, this 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 differing singularities. The developed theories and methods are then applied to the Magnetic Schrödinger operator and various challenges in multiparticle quantum theory, offering significant insights into these advanced mathematical concepts.
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Microlocal Analysis, Sharp Spectral Asymptotics and Applications IV, Victor Ivrii
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- 2020
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