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Mathematical theory of nonrelativistic matter and radiation (1995)

Bach, V. ; Fröhlich, J. ; Sigal, I. M.

Springer

Letters in mathematical physics 34 (1995), S. 183-201

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ISSN: 1573-0530

Keywords: 81C12 ; 81E15

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics , Physics

Notes: Abstract 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.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01872776

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