The exact wavefunction factorization of a vibronic coupling system.

Area of Science:

• Quantum chemistry
• Molecular dynamics
• Theoretical chemistry

Background:

• Conical intersections are crucial in understanding photochemical reactions and molecular dynamics.
• The exact factorization of the wavefunction is a complex problem in quantum mechanics.
• Adiabatic approximations simplify calculations but may not capture all non-adiabatic effects.

Purpose of the Study:

• To investigate the exact wavefunction factorization for a model conical intersection system.
• To explore the properties of the resulting factorized potentials and nuclear wavefunctions.
• To clarify the relationship between exact wavefunction factorization and the adiabatic approximation.

Main Methods:

• Investigated the exact wavefunction as a product of electronic and nuclear wavefunctions.
• Analyzed a model system exhibiting a conical intersection.
• Examined the symmetry-breaking effects of coupling modes.

Main Results:

• Discovered exact factorized spiky potentials and nodeless nuclear wavefunctions.
• Confirmed that the exact factorized potential preserves symmetry breaking.
• Observed a strong correlation between nodeless wavefunctions and adiabatic nuclear eigenfunctions, even under non-adiabatic coupling.

Conclusions:

• The exact wavefunction can be factorized into electronic and nuclear components for conical intersection systems.
• Nodeless nuclear wavefunctions arising from factorization are closely linked to adiabatic approximations.
• This finding bridges the gap between exact factorization methods and traditional adiabatic approaches in quantum dynamics.