Rigorous dynamics and radiation theory for a Pauli-Fierz model in the ultraviolet limit
- Dipartimento di Matematica, Universita di Milano, I-20133 Milan (Italy)
The present paper is devoted to the detailed study of quantization and evolution of the point limit of the Pauli-Fierz model for a charged oscillator interacting with the electromagnetic field in dipole approximation. In particular, a well defined dynamics is constructed for the classical model, which is subsequently quantized according to the Segal scheme. To this end, the classical model in the point limit, already obtained by Noja and Posilicano [Ann. I.H.P. Phys. Theor. 71, 425 (1999)], is reformulated as a second order abstract wave equation, and a consistent quantum evolution is given. This allows a study of the behavior of the survival and transition amplitudes for the process of decay of the excited states of the charged particle, and the emission of photons in the decay process. In particular, for the survival amplitude the exact time behavior is found. This is completely determined by the resonances of the systems plus a tail term prevailing in the asymptotic, long time regime. Moreover, the survival amplitude exhibits in a fairly clear way the Lamb shift correction to the unperturbed frequencies of the oscillator.
- OSTI ID:
- 20699507
- Journal Information:
- Journal of Mathematical Physics, Vol. 46, Issue 10; Other Information: DOI: 10.1063/1.2009607; (c) 2005 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
Similar Records
Kaluza--Klein unification and the Fierz--Pauli weak-field limit
The no-binding regime of the Pauli-Fierz model
Related Subjects
CHARGED PARTICLES
CORRECTIONS
DIPOLES
ELECTROMAGNETIC FIELDS
EVOLUTION
EXCITED STATES
LAMB SHIFT
OSCILLATORS
PARTICLE DECAY
PHOTON EMISSION
PHOTONS
QUANTIZATION
QUANTUM ELECTRODYNAMICS
RELATIVISTIC RANGE
RESONANCE
TRANSITION AMPLITUDES
ULTRAVIOLET RADIATION
WAVE EQUATIONS