2015/09/09 by Howard Reiss, H. R. Reiss, Reiss, H. R.
Decision Sciences · Engineering · Mathematics · Physics and Astronomy · #Advanced Electrical Measurement Techniques #Computer science #Constant (computer programming) #Dipole #Discrete dipole approximation #FOS: Physical sciences #Field (mathematics) #Gauge (firearms) #Gauge anomaly #Gauge boson #Gauge fixing #Gauge theory #Hamiltonian lattice gauge theory #Introduction to gauge theory #Mathematical physics #Mathematics #Physics #Quantum Physics (quant-ph) #Quantum electrodynamics #Quantum mechanics #Scientific Measurement and Uncertainty Evaluation #Spectroscopy and Quantum Chemical Studies #Theoretical physics #Transformation (genetics) #quant-ph
paper · pdf · doi:10.48550/arxiv.1509.02746
published in arXiv (Cornell University) (Cornell University)
arxiv created 2015/09/09 · openalex publication_date 2015/09/09 · arxiv updated 2015/09/10 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.