Symplectic Schemes for Linear Stochastic Schrödinger Equations with Variable Coefficients

الملخص EN

This paper proposes a kind of symplectic schemes for linear Schrödinger equations with variable coefficients and a stochastic perturbation term by using compact schemes in space.

The numerical stability property of the schemes is analyzed.

The schemes preserve a discrete charge conservation law.

They also follow a discrete energy transforming formula.

The numerical experiments verify our analysis.