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 language | English |
|---|---|
| Article number | 062120 |
| Journal | Physical Review A |
| Volume | 97 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - Jun 19 2018 |
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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 journal › Article
}
TY - JOUR
T1 - Relativistic and radiative corrections to the dynamic Stark shift
T2 - Gauge invariance and transition currents in the velocity gauge
AU - Jentschura, U.
AU - Adhikari, C. M.
PY - 2018/6/19
Y1 - 2018/6/19
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85048993449&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85048993449&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.97.062120
DO - 10.1103/PhysRevA.97.062120
M3 - Article
AN - SCOPUS:85048993449
VL - 97
JO - Physical Review A
JF - Physical Review A
SN - 2469-9926
IS - 6
M1 - 062120
ER -