Gauge- and coordinate-invariant equations for two-component systems
- URL: http://arxiv.org/abs/2207.02198v1
- Date: Tue, 5 Jul 2022 17:57:43 GMT
- Title: Gauge- and coordinate-invariant equations for two-component systems
- Authors: Ryan Requist
- Abstract summary: equations are derived in a form that is invariant to gauge and coordinate transformations.
equations equivalent to the nonrelativistic Schr"odinger equation of a molecule are derived as an example.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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.
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