Titlebook: Microlocal Analysis, Sharp Spectral Asymptotics and Applications III; Magnetic Schr?dinger Victor Ivrii Book 2019 Springer Nature Switzerla

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Victor IvriiResearch monograph for researchers and graduate students in Mathematics and Mathematical Physics.Most comprehensive work about the topic.Use of technique, developed by the author during more than 40 y

進(jìn)入

Dirac Operator with the Strong Magnetic Fieldized) Schr?dinger-Pauli operators as well. The results and structure of this chapter are similar to those of Chapter 13: Sections 17.1–17.4 and Sections 17.6,17.7 correspond to Sections 13.2–13.5 and Sections 13.6 and 13.8 respectively.

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https://doi.org/10.1007/978-3-030-30537-6Microlocal Analysis; Propagation of Singularities; Sharp Spectral Asymptotics; Schrodinger Operator; Gro

生意行為

Standard Theory in Dimensions 2 and 3In this chapter we analyze 2- and 3-dimensional Schr?dinger operators with the strong magnetic field; now we have not only a small parameter . but a large parameter . (a coupling constant with the magnetic field or simply a magnetic parameter); moreover, a natural condition . arises.

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-Schr?dinger Operator with the Strong Degenerating Magnetic FieldIn this chapter we consider .-Schr?dinger operator (13.2.1) with the strong magnetic field like in the previous chapter albeit now magnetic intensity . degenerates along smooth line and the degeneration is precisely of order . with .. Surely, we are most interested in the generic case ..