Relativistic and radiative corrections to the dynamic Stark shift: Gauge invariance and transition currents in the velocity gauge

U. Jentschura, C. M. Adhikari

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Abstract

We investigate the gauge invariance of the dynamic (ac) Stark shift under "hybrid" gauge transformations from the "length" (E·r ) to the "velocity" (A-·p ) gauge. By a "hybrid" gauge transformation, we understand a transformation in which the scalar and vector potentials are modified, but the wave function remains unaltered. The gauge invariance of the leading term is well known, while we here show that gauge invariance under perturbations holds only if one takes into account an additional correction to the transition current, which persists only in the velocity gauge. We find a general expression for this current, and apply the formalism to radiative and relativistic corrections to the dynamic Stark effect, which is described by the sum of two polarizability matrix elements.

Original languageEnglish
Article number062120
JournalPhysical Review A
Volume97
Issue number6
DOIs
Publication statusPublished - Jun 19 2018

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gauge invariance
shift
Stark effect
wave functions
scalars
formalism
perturbation
matrices

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

Relativistic and radiative corrections to the dynamic Stark shift : Gauge invariance and transition currents in the velocity gauge. / Jentschura, U.; Adhikari, C. M.

In: Physical Review A, Vol. 97, No. 6, 062120, 19.06.2018.

Research output: Contribution to journalArticle

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