English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

The present paper is devoted to the detailed study of quantization andevolution of the point limit of the Pauli-Fierz model for a charged oscillatorinteracting with the electromagnetic field in dipole approximation. Inparticular, a well defined dynamics is constructed for the classical model,which is subsequently quantized according to the Segal scheme. To this end, theclassical model in the point limit is reformulated as a second order abstractwave equation, and a consistent quantum evolution is given. This allows a studyof the behaviour of the survival and transition amplitudes for the process ofdecay of the excited states of the charged particle, and the emission ofphotons in the decay process. In particular, for the survival amplitude theexact time behaviour is found. This is completely determined by the resonancesof the systems plus a tail term prevailing in the asymptotic, long time regime.Moreover, the survival amplitude exhibites in a fairly clear way the Lamb shiftcorrection to the unperturbed frequencies of the oscillator.Comment: Shortened version. To appear in J. Math. Phy

Rigorous dynamics and radiation theory for a Pauli-Fierz model in the ultraviolet limit