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Low-frequency failure of the Göppert-Mayer gauge transformation and consequences for the Strong-Field Approximation

arXiv
Authors: H. R. Reiss

Year

2015

Paper ID

27338

Status

Preprint

Abstract Read

~2 min

Abstract Words

94

Citations

N/A

Abstract

The Göppert-Mayer (GM) gauge transformation, of central importance in atomic, molecular, and optical physics since it connects the length gauge and the velocity gauge, becomes unphysical as the field frequency declines towards zero. This is not consequential for theories of transverse fields, but it is the underlying reason for the failure of gauge invariance in the dipole-approximation version of the Strong-Field Approximation (SFA). This failure of the GM gauge transformation explains why the length gauge is preferred in analytical approximation methods for fields that possess a constant electric field as a zero-frequency limit.

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  • The Göppert-Mayer (GM) gauge transformation, of central importance in atomic, molecular, and optical physics since it connects the length gauge and the velocity gauge, becomes...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1509.02746 [2] arXiv https://arxiv.org/abs/1509.02746 [3] Publisher https://arxiv.org/abs/1509.02746

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