The increase of binding energy and enhanced binding in nonrelativistic QED

Journal of Mathematical Physics

Volumn 44, Issue 5, 2003, Pages 1961-1970

  Chen, Thomas ^a   Vougalter, Vitali ^b   Vugalter, Semjon A ^c  

^a NEW YORK UNIVERSITY   (United States)

^b MCMASTER UNIVERSITY   (Canada)

^c UNIVERSITY OF MUNICH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037908950     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1562007     Document Type: Article

References (13)

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3. Bach, V., Chen, T., Fröhlich, J., and Sigal, I. M., "Determination of the renormalized mass for the Nelson model," in preparation.
4. Catto, I. and Hainzl, Ch., "Self-energy of one electron in non-relativistic QED," math-ph/0207036.
5. Chen, T., "Operator-theoretic infrared renormalization and construction of dressed T-particle states in non-relativistic QED," PhD thesis, ETH Zürich (2001), math-ph/0108021. This preprint contains the results for the spinless case g = 0. Their generalization to the case g = 1 is in preparation.
6. Fröhlich, J., "Existence of dressed one-electron states in a class of persistent models," Fortschr. Phys. 22, 159-198 (1974).
7. Griesemer, M., Lieb, E. H., and Loss, M., "Ground states in non-relativistic quantum electrodynamics," Invent. Math. 145(3), 557-595 (2001).
8. Hainzl, Ch., "One non-relativistic particle coupled to a photon field," math-ph/0202001.
9. Hainzl, Ch., Vougalter, V., and Vugalter, S. A., "Enhanced binding in non-relativistic QED," Commun. Math Phys. 233, 13-26 (2003).
10. Hiroshima, F., "Self-adjointness of the Pauli-Fierz Hamiltonian for arbitrary values of coupling constants," Ann. Henri Poincaré 3, 171-201 (2002).
11. Hiroshima, F. and Spohn, H., "Enhanced binding through coupling to a quantum field," preprint mp.arc 01-39.
12. Hiroshima, F. and Spohn, H., "Ground state degeneracy of the Pauli-Fierz Hamiltonian with spin," math-ph/0205018.
13. Vugalter, S.A. and Zhislin, G. M., "The symmetry and Efimov's effect in systems of three-quantum particles," Commun. Math. Phys. 87, 89-103 (1982/1983).