Linear Schrödinger Operator

A linear Schrödinger operator is an exponential operator used in the theory of Schrödinger equation in expressing solution of Schrödinger equation in an integral form. It is essentially defined by U(t)=eitD, where D=∑i,jaij∂xj∂xk in its general form, −1=i and x∈ℝd.[1][2]

## Example

## References

1. ↑ Sulem C. Sulem P. The Nonlinear Schrodinger Equation, Self-focusing and wave collapse. p. 43, 51
2. ↑ Sakurai, J. J. . "Modern Quantum Mechanics". MIT, reading p. 68.

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