### Equation of motion for heisenberg operators

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##### Reference no: EM13968004

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.

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