Mathematical Physics

Bernd Thaller

Institut f. Mathematik
Universität Graz
A-8010 Graz, Austria

Research Interests:

My interests in the field of Mathematical Physics center around the development of the mathematical apparatus of Quantum Mechanics. I have made contributions to the following research areas:

• essential self-adjointness,
  
  
• scattering theory by stationary and time-dependent methods,
  
  
• asymptotic completeness for the Dirac eqation with long-range potentials
  (also in the case of non-electrostatic interactions, in particular magnetic fields),
  
  
• the nonrelativistic limit of the Dirac equation,
  
  
• supersymmetry and normal forms of the Dirac equation,
  
  
• heat kernel estimates for the Schrödinger equation with magnetic fields,
  

Download Papers:

Here you can download some recent preprints or just read the abstracts.

Book "The Dirac Equation":

I have also written a book on the Dirac equation which established itself as a standard text on relativistic quantum mechanics. Click here to go the the home page of this book.

Institute of Mathematics
University of Graz.