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Quantum mechanics-hamiltonian matrix and stationary states
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[QUOTE="BruceW, post: 4799161, member: 186724"] nice work for 'part a'. I get the same answer. And for part b, it says you need to work out the time dependence. I think there are a couple of slightly different ways you could go about this. The way I prefer to do it is to think about [1(t)>, and write it out in the basis of [1(0)> and [2(0)>. So, you are right that in this basis, [1(t)> starts off as (1 0) But at some time later it will evolve to other values, for example (0 -1). So, the problem is what kind of function of time should these coefficients be? To work that out, you can use your 'relevant equation', and you can also make use of the energy eigenstates if you want, since you have already calculated them. but in the end, I think you should write [1(t)> in terms of [1(0)> and [2(0)> [/QUOTE]
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Quantum mechanics-hamiltonian matrix and stationary states
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