Schrodinger's Equation in Riemann Spaces
arXiv:1005.2432
Abstract
We present some properties of the first and second order Beltrami differential operators in metric spaces. We also solve the Schroedinger's equation for a wide class of potentials and describe spaces that the Hamiltonian of a system physical is self adjoint.
35 pages, Schrodinger's Equation, Riemann Geometry, Mathematical Physics, Metric Space, Differential Operators, Laplacian