Mathematical theory of nonrelativistic matter and radiation | Zendy

Volker Bach | Zendy; Jürg Fröhlich | Zendy; Israel Michael Sigal | Zendy

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Mathematical theory of nonrelativistic matter and radiation

Author(s) -

Volker Bach,

Jürg Fröhlich,

Israel Michael Sigal

Publication year - 1995

Publication title -

letters in mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.915

H-Index - 62

eISSN - 1573-0530

pISSN - 0377-9017

DOI - 10.1007/bf01872776

Subject(s) - eigenvalues and eigenvectors , hamiltonian (control theory) , physics , complex system , bound state , ground state , electron , mathematical proof , quantum mechanics , theoretical physics , mathematical physics , quantum electrodynamics , mathematics , geometry , social science , sociology , mathematical optimization

We consider a system of finitely many nonrelativistic electrons bound in an atom or molecule which are coupled to the electromagnetic field via minimal coupling or the dipole approximation. Among a variety or 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 at full length in a later work.

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