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Focusing on the derivation of sharp spectral asymptotics, this comprehensive five-volume monograph employs semiclassical microlocal analysis techniques, particularly the propagation of singularities. It explores variational estimates in small domains and extends the analysis to domains with various singularities. The developed theories and methods are applied to the Magnetic Schrödinger operator, addressing diverse problems and aspects of multiparticle quantum theory, making it a significant contribution to the field of partial differential operators.
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Microlocal Analysis, Sharp Spectral Asymptotics and Applications II, Victor Ivrii
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- 2019
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