Magnetic Schrödinger Operator: Short Loops, Pointwise Spectral Asymptotics and Asymptotics of Dirac Energy

Victor Ivrii ()
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Victor Ivrii: University of Toronto, Department of Mathematics

Chapter Chapter 16 in Microlocal Analysis, Sharp Spectral Asymptotics and Applications III, 2019, pp 415-563 from Springer

Abstract: Abstract In this chapter we consider $$2{\mathsf {D}}$$ - and $$3{\mathsf {D}}$$ -magnetic Schrödinger operator (13.2.1) satisfying assumptions (13.2.2)–(13.2.5) and consider pointwise asymptotics of e(x, x, 0) and also asymptotics of expression (6.4.4): $${\mathsf {I}}:= \iint e(x,y, 0)e (y,x, 0) \omega (x, y)\psi _2(x) \psi _1(y)\,dx\, dy$$ .

Date: 2019
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DOI: 10.1007/978-3-030-30537-6_16

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