Exponential decay and ionization thresholds in non-relativistic quantum electrodynamics

Journal of Functional Analysis

Volumn 210, Issue 2, 2004, Pages 321-340

  Griesemer, Marcel ^a  

^a UNIVERSITY OF ALABAMA AT BIRMINGHAM   (United States)

Author keywords

Atoms and molecules; Exponential decay; Ionization threshold; Pauli Fierz model; Quantum electrodynamics

Indexed keywords

EID: 2442605659     PISSN: 00221236     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jfa.2003.06.001     Document Type: Article

References (10)

1. S. Agmon, Lectures on Exponential Decay of Solutions of Second-order Elliptic Equations: Bounds on Eigenfunctions of N-body Schrödinger Operators, Princeton University Press, Princeton, NJ, 1982.
2. V. Bach, J. Fröhlich, I.M. Sigal, Quantum electrodynamics of confined nonrelativistic particles, Adv. in Math. 137 (2) (1998) 299-395.
3. V. Bach, J. Fröhlich, I.M. Sigal, Spektral analysis for systems of atoms and molecules coupled to the quantized radiation field, Comm. Math. Phys. 207 (2) (1999) 249-290.
4. V. Bach, J. Fröhlich, I.M. Sigal, A. Soffer, Positive commutators and spectrum of Pauli-Fierz Hamiltonian of atoms and molecules, Comm. Math. Phys. 207 (3) (1999) 557-587.
5. E.B. Davies, The functional calculus, J. London Math. Soc. (2) 52 (1) (1995) 166-176.
6. J. Fröhlich, M. Griesemer, B. Schlein, Asymptotic completeness for Rayleigh scattering, Ann. Henri Poincaré 3 (2002) 107-170.
7. M. Griesemer, E.H. Lieb, M. Loss, Ground states in non-relativistic quantum electrodynamics, Invent. Math. 145 (3) (2001) 557-595.
8. W. Hunziker, I.M. Sigal, The quantum N-body problem, J. Math. Phys. 41 (6) (2000) 3448-3510.
9. A.J. O'Connor, Exponential decay of bound state wave functions, Comm. Math. Phys. 32 (1973) 319-340.
10. A. Persson, Bounds for the discrete part of the spectrum of a semi-bounded Schrödinger operator, Math. Scand. 8 (1960) 143-153.