Gradient symplectic algorithms for solving the radial Schrödinger equation
Gradient symplectic algorithms for solving the radial Schrödinger equation
The radial Schrodinger equation for a spherically symmetric potential can be regarded as a one-dimensional classical harmonic oscillator with a time-dependent spring constant. For solving classical dynamics problems, symplectic integrators are well known for their excellent conservation properties. The class of gradient symplectic algorithms is particularly suited for solving harmonic-oscillator …