Quantum Mechanics II, Physics 4143: Assignment 3, Spring 2011. 1 : Griﬃths’ Problem 4.33 . This is an example of a problem with a time-dependent Hamiltonian. In such a case the Hamiltonian has instantaneous eigenstates that change continuously in time; ﬁnding its eigenstates and eigenvalues is not very useful in determining the time-dependence of the state vector (except under so-called adiabatic conditions). In order to ﬁnd the state vector as a function of time one should solve the diﬀerential equations
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