Gauge- and coordinate-invariant equations for two-component systems
Quantum Physics
2022-07-06 v1
Abstract
The Schr\"odinger-like equations for the marginal and conditional probability amplitudes resulting from the exact factorization of the wavefunction of a two-component system are derived in a form that is invariant to gauge and coordinate transformations. Coupled equations equivalent to the nonrelativistic Schr\"odinger equation of a molecule are derived as an example.
Cite
@article{arxiv.2207.02198,
title = {Gauge- and coordinate-invariant equations for two-component systems},
author = {Ryan Requist},
journal= {arXiv preprint arXiv:2207.02198},
year = {2022}
}