An equations of motion approach for open shell systems
A straightforward scheme is developed for extending the equations of motion formalism to systems with simple open shell ground states. Equations for open shell random phase approximation (RPA) are given for the cases of one electron outside of a closed shell in a nondegenerate molecular orbital and for the triplet ground state with two electrons outside of a closed shell in degenerate molecular orbitals. Applications to other open shells and extension of the open shell EOM to higher orders are both straightforward. Results for the open shell RPA for lithium atom and oxygen molecule are given.
Abstract: Road profile and the technical condition of the suspension affect a large measure of comfort, road safety and endurance. This paper contains the theoretical study results of the offroad vehicle vibration when running on a bumpy section of road. For this purpose has been developed mechanical model of tire-suspension -self supporting bodyshell system with five degrees of freedom. The bodyshell was approximated by a flat plate, suspension and tires were modelled by four mass-damper-spring system attached to the four corners of the plate; the tire mass together with a mass suspension is concentrated at a single point. Vertical vibration displacement, velocity and acceleration of the body were determined using Matlab. Key words: vehicle vibration, vehicle mechanical modelling, road deformation.