The Dyson Operator
We suppose we have a Hamiltonian H which we split into a "free" part H0 and an "interacting" part V i.e. H = H0 + V. We will work in the interaction picture here and assume units such that the reduced Planck constant is 1.
In the interaction picture, the evolution operator U defined by the equation:
is called Dyson operator.
We have
and then (Tomonaga-Schwinger equation)
Thus:
Read more about this topic: Dyson Series
Famous quotes containing the word dyson:
“A good scientist is a person with original ideas. A good engineer is a person who makes a design that works with as few original ideas as possible. There are no prima donnas in engineering.”
—Freeman Dyson (b. 1923)