Symplectic integrators for the numerical solution of the Schrodinger equation

[摘要] The solution of the one-dimensional time-independent Schrodinger equation is considered by symplectic integrators. The Schrodinger equation is first transformed into a Hamiltonian canonical equation. The concept of asymptotic symplecticness is introduced and asymptotically symplectic methods of order up to 3 are developed. Numerical results are obtained for the one-dimensional harmonic oscillator, the hydrogen atom and the one dimensional double-well anharmonic oscillator. (C) 2003 Elsevier B.V. All rights reserved.

[发布日期] 2003-09-01

[效力级别]  Proceedings Paper