Sfb 288 Differential Geometry and Quantum Physics

Abstract for Sfb Preprint No. 171

Mathematical Theory of Non-Relativistic Matter and Radiation

V. Bach, J. Froehlich, I. M. Sigal

We consider a system of finitely many non-relativistic electrons bound in an atom or molecule which are coupled to the electromagnetic field via minimal coupling or the dipole approximation. Among a variety of results, we give sufficient conditions for the existence of a ground state (an eigenvalue at the bottom of the spectrum) and resonances (eigenvalues of a complex dilated Hamiltonian) of such a system. We give a brief outline of the proofs of these statements which will appear in full length in [BachFroehlichSigal1996].

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