Exchange potentials for semi-classical electrons.

Area of Science:

• Computational Chemistry
• Quantum Mechanics
• Materials Science

Background:

• Semi-classical electron simulations offer efficient chemical reaction modeling.
• Accurately simulating fermion anti-symmetry effects remains a significant challenge.
• Existing methods rely on ab initio Slater-determinants or heuristic density functional approaches.

Purpose of the Study:

• To develop a more accurate semi-classical electron treatment for chemical reactions.
• To address the challenge of anti-symmetry effects in fermion simulations.
• To improve the transferability of potentials across different elements and bonding types.

Main Methods:

• Revisiting semi-classical electron treatments with a combined approach.
• Referencing a non-conventional wave function for semi-classical electrons.
• Analyzing contributions from electrostatic and kinetic terms in the Hamiltonian.

Main Results:

• Electrostatic terms contribute significantly, comparable to kinetic terms, contrary to prior assumptions.
• The electrostatic contributions necessitate supplementing existing pair potentials with 3-body potentials.
• This approach explains features of existing heuristic potentials.

Conclusions:

• Semi-classical electrons require a non-conventional wave function for accurate simulations.
• The inclusion of 3-body potentials enhances the transferability of simulation potentials.
• This work provides a robust foundation for broader applications in computational chemistry and materials science.