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Equation of motion for Heisenberg operators.
Assume that the Schrodinger Hamiltonian H = H ( p, q ) is time independent. In this case the time-i ndependent Schrodinger operator yields a Heisenberg operator ( t ) = ei H t e-i H t .
Show that this operator satisfies the equation i d (t ) = [(t ) , H (p(t ), q(t))].
This computation proves that equation ( l l .18) holds for ti me-i ndependent Hami ltonians.
At t = 0, a closed string forms a circle of radi us R on the (x , y) plane and has zero veloci ty. The ti me development of this string can be studied usi ng the action (6.88)
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