In two solvable molecular models, the Born-Oppenheimer, Born-Huang, and exact-factorization energy surfaces are compared in closed form, yielding a ground-state ordering, a quantum-geometric error budget, and a conditioning result.
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Born-Oppenheimer, Born-Huang, and exact factorization: quantum geometry and error in analytically transparent benchmark models
In two solvable molecular models, the Born-Oppenheimer, Born-Huang, and exact-factorization energy surfaces are compared in closed form, yielding a ground-state ordering, a quantum-geometric error budget, and a conditioning result.