Please tell me where my understanding of the Heisenberg and/or the Schrodinger picture falls apart.(adsbygoogle = window.adsbygoogle || []).push({});

-Schrodinger says the state vector of a system changes with time according to a unitary operator that doesn't change with time.

-Hesienberg says the state vector of a system doesn't change with time but the operator acting on that state vector has time dependence.

-In the heisenberg equation of motion http://en.wikipedia.org/wiki/Heisenberg_picture , the second term (partial A with respect to t) dissapears (A doesn't change with time) when the Hamiltonian is autonomous.

- But if the Hamiltonian is autonomous and we are in the Heisenberg picture then A(t)=A(0) and the system will not evolve with time because the operator A is the only time dependent variable.

-However, in the schrodinger picture, the phase of a stationary statecanevolve with time.

Conclusion:

-Therefore, the two pictures do not seem entirely equal.

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# Heisenberg vs Schrodinger Picture

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