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On the Quantum Theory of Molecules

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arxiv 1206.4239 v4 pith:DZVEHWSN submitted 2012-06-19 quant-ph math-phmath.MP

classification quant-phmath-phmath.MP
keywords quantumsurfacetheoryassumedcalculationschemicalconstructedeigensolutions
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Transition state theory was introduced in the 1930s to account for chemical reactions. Central to this theory is the idea of a potential energy surface (PES). It was assumed that such a surface could be constructed using eigensolutions of the Schr\"{o}dinger equation for the molecular (Coulomb) Hamiltonian but at that time such calculations were not possible. Nowadays quantum mechanical ab-initio electronic structure calculations are routine and from their results PESs can be constructed which are believed to approximate those assumed derivable from the eigensolutions. It is argued here that this belief is unfounded. It is suggested that the potential energy surface construction is more appropriately regarded as a legitimate and effective modification of quantum mechanics for chemical purposes

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Chemical bonding in three-membered ring systems

    physics.chem-ph 2024-11 conditional novelty 6.0 of 10

    In C2v symmetry, carbene addition to and elimination from three-membered C/Si rings follow different diabatic pathways with no saddle point, while in Cs symmetry they merge into a single adiabatic path.

  2. Observation of Geometric Phase in a Molecular Aharonov-Bohm System Using IBM Quantum Computer

    quant-ph 2019-09 reject novelty 3.0 of 10

    The paper reports measuring a π geometric phase for a two-level Longuet-Higgins Hamiltonian on IBM quantum hardware, but the circuit is a direct rotation rather than an adiabatic simulation.

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