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## Sample Applications

The sample applications are given in the form of notebooks. For the time being there are the following:

- A notebook for the Klein - Gordon - equation
- A notebook for the Dirac - equation

In addition to local rules, they contain a series of calculations, e.g. Hamilton - operator, 3 - momentum and evaluation of charge.

### Klein - Gordon - Equation

In all cases, the free fields that solve the field equations are specified.

- The commutator of the fields, when applying the commutation relations for the coefficients of the fields, leads to the commutation relations of the fields themselves.
- The Hamiltonian as an expression dependent on the fields leads to an expression in the coefficients of the fields (creation and annihilation operators).
- The same applies to the expression of the 3-momentum.
- The same applies to the expression for the charge, which results from a continuity equation.