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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