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Focusing on advanced spectral asymptotics, this comprehensive five-volume monograph employs semiclassical microlocal analysis techniques, particularly the propagation of singularities. It explores variational estimates in small domains to address more complex domains featuring various singularities. The theoretical framework developed is then applied to the Magnetic Schrödinger operator, alongside a range of problems in multiparticle quantum theory, showcasing the broad applicability of the results and methods derived throughout the work.
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Microlocal Analysis, Sharp Spectral Asymptotics and Applications II, Victor Ivrii
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- 2020
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