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The Hamiltonian of an electron of mass m in a constant electric field E in one dimension can be written as Ĥ=+eEx where â and are the position and momentum operators,
respectively. With initials conditions (t = 0) = 0 and p(t = 0) = 0, which one of the following gives (t) at time in the Heisenberg picture? You may use the commutator
[â,p] = iħ.
O a.
O b.
eEt2
2m
O C. e Et
O d. -eEt
O e.
eEt²
m
pt
m

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