Kinematic geometry of mass-triangles and reduction of Schrödinger's equation of three-body systems to partial differential equations solely defined on triangular parameters.

@article{Hsiang1997KinematicGO,
  title={Kinematic geometry of mass-triangles and reduction of Schr{\"o}dinger's equation of three-body systems to partial differential equations solely defined on triangular parameters.},
  author={W. Y. Hsiang},
  journal={Proceedings of the National Academy of Sciences of the United States of America},
  year={1997},
  volume={94 17},
  pages={8936-8}
}
  • W. Y. Hsiang
  • Published 1997 in
    Proceedings of the National Academy of Sciences…
Schrödinger's equation of a three-body system is a linear partial differential equation (PDE) defined on the 9-dimensional configuration space, R9, naturally equipped with Jacobi's kinematic metric and with translational and rotational symmetries. The natural invariance of Schrödinger's equation with respect to the translational symmetry enables us to… CONTINUE READING