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

  • Victor IvriiEmail author
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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(xx, 0) and also asymptotics of expression (6.4.4): \({\mathsf {I}}:= \iint e(x,y, 0)e (y,x, 0) \omega (x, y)\psi _2(x) \psi _1(y)\,dx\, dy\).

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of TorontoTorontoCanada

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