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Focusing on semiclassical microlocal analysis, this comprehensive five-volume monograph aims to derive precise spectral asymptotics for various classes of partial differential operators. It explores the propagation of singularities and applies variational estimates in small domains to address more complex domains with different singularities. The developed theories and methods are then utilized to examine the Magnetic Schrödinger operator, along with various problems in multiparticle quantum theory, showcasing the practical applications of the theoretical framework.
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Microlocal Analysis, Sharp Spectral Asymptotics and Applications IV, Victor Ivrii
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- 2019
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