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Focusing on the derivation of sharp spectral asymptotics, this comprehensive five-volume monograph utilizes semiclassical microlocal analysis techniques, particularly the propagation of singularities. It explores variational estimates in small domains, extending to domains with various singularities. The developed theory is then applied to the Magnetic Schrödinger operator, addressing diverse problems and aspects of multiparticle quantum theory, offering valuable insights into the behavior of partial differential operators.
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Microlocal Analysis, Sharp Spectral Asymptotics and Applications V, Victor Ivrii
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- 2020
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