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We show that the geometric phase arising from a conical intersection of the lowest potential energy surfaces of HO2 causes its bending vibrational wavefunctions to be double valued, which allows them to be locally symmetric on one side of the intersection and locally antisymmetric on the other. The material of the proposed publication was reviewed and the technical content will not reveal any information not already in the public domain and will not give any foreign industry or government a competitive advantage.

The long term goal of our research at the Intelligent Robotic Laboratory at Vanderbilt University is to develop advanced intelligent robotic aid systems for human services. As a first step toward our goal, the current thrusts of our R&D are centered on the development of an intelligent robotic aid called the ISAC (Intelligent Soft Arm Control). In this paper, we describe the overall system architecture and current activities in intelligent control, adaptive/interactive control and task learning.

Adiabatic corrections to long range Born- Oppenheimer interatomic potentials from rotationally coupled Schroedinger equations

Coupled Schroedinger equations for diatomic molecules internal motion solved using best adiabatic approximation to obtain energy correction to Born-Oppenheimer method

Separation of center of mass and rotational coordinates from N electron diatomic Schroedinger equation

Corrections to Born-Oppenheimer approximation for diatomic systems

Adiabatic corrections to long-range Born- Oppenheimer potentials

Behavior of wave function for system of charged particles near coalescence of any two of them, noting electron-nucleus cusp conditions for diatomic molecules

Cusp conditions to describe behavior of wave function at singularities of Coulomb potential corresponding to coalescence of two or more particles - diatomic molecules