Related Experiment Video
Updated: Dec 30, 2025

Uncoupling Coriolis Force and Rotating Buoyancy Effects on Full-Field Heat Transfer Properties of a Rotating Channel
Published on: October 5, 2018
Conservation of Angular Momentum in Direct Nonadiabatic Dynamics
Yinan Shu1, Linyao Zhang1,2, Zoltán Varga1
1Department of Chemistry and Supercomputing Institute , University of Minnesota , Minneapolis , Minnesota 55455-0431 , United States.
Direct nonadiabatic dynamics calculations can now conserve angular momentum and center of mass. A new projection operator method corrects nonadiabatic couplings (NACs) in mixed quantum-classical simulations.
Area of Science:
- Quantum chemistry
- Chemical dynamics
- Computational physics
Background:
- Direct nonadiabatic dynamics simulates processes across multiple electronic states.
- It offers user-friendly calculations of energies, gradients, and nonadiabatic couplings (NACs).
- Existing methods often fail to conserve angular momentum and center of mass.
Purpose of the Study:
- To address the conservation issue in direct nonadiabatic dynamics.
- To improve the accuracy of mixed quantum-classical simulations.
Main Methods:
- Utilized direct dynamics approach.
- Employed electronic structure calculations for energies, gradients, and NACs.
- Developed and applied a projection operator method to modify NACs.
Main Results:
- The projection operator successfully removed translational and rotational components from NACs.
- Conservation of angular momentum and center of mass was restored.
- Validated the method in widely used algorithms like trajectory surface hopping.
Conclusions:
- The developed method enhances the reliability of direct nonadiabatic dynamics.
- This advancement improves simulations of molecular processes involving multiple electronic states.
- Enables more accurate modeling from small molecules to materials.
Related Concept Videos
Conservation of Angular Momentum
Conservation of Angular Momentum: Application
Angular Momentum
Angular Momentum: Single Particle
Principle of Angular Impulse and Momentum
Angular Momentum and Principle Axes of Inertia
To put this equation into simpler terms, it can be reconfigured using rectangular coordinates. This involves choosing an alternative set of XYZ axes that are arbitrarily inclined with respect to the reference frame. The process of deriving the rectangular...

