diff --git a/contents/split-operator_method/split-operator_method.md b/contents/split-operator_method/split-operator_method.md index 08fc3d33d..4c1ea9ae0 100644 --- a/contents/split-operator_method/split-operator_method.md +++ b/contents/split-operator_method/split-operator_method.md @@ -1,5 +1,9 @@ # The Split-Operator Method -The Split-Operator Method (also called the Split-Step Method), was actually the primary method I used to solve the Schrödinger equation during my PhD. +The Split-Operator Method (also called the Split-Step Method) can be best understood, as a problem-solving approach or meta-algorithm rather than a standalone algorithm, which solves a single problem. + +It describes a way of decomposing a physical equation of energy into different subspaces where it is easier to find solutions. + +This was the primary method I used to solve the Schrödinger equation during my PhD. It is one of the simplest and fastest methods for this purpose and is widely used throughout modern quantum research in the area, in particular when dealing with the Non-linear Schrödinger Equation (NLSE): $$