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Enhanced Binding in Non-Relativistic QED |
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| Authors: | Christian Hainzl Vitali Vougalter Semjon A Vugalter |
| Institution: | (1) Mathematisches Institut, LMU München, Theresienstrasse 39, 80333 Munich, Germany. E-mail: hainzl@mathematik.uni-muenchen.de; wugalter@mathematik.uni-muenchen.de, DE;(2) Department of Mathematics, University of British Columbia, Vancouver, B.C. V6T 1Z2, Canada. E-mail: vitali@math.ubc.ca, CA |
| Abstract: | We consider a spinless particle coupled to a photon field and prove that even if the Schr?dinger operator p 2 +V does not have eigenvalues the system can have a ground state. We describe the coupling by means of the Pauli-Fierz Hamiltonian and our result holds in the case where the coupling constant α is small. Received: 7 January 2002 / Accepted: 8 November 2002 Published online: 13 January 2003 |
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