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Quantum Interpretations and Foundations
Ensembles in quantum field theory
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[QUOTE="A. Neumaier, post: 6824000, member: 293806"] Here more details are required. Which time-dependent Hamiltonian are you using? Note that the oven itself is outside of the spatial domain of the free field describing the beam, and the Hamiltonian inside this domain is independent of time. Thus the behavior of the source must be in a time-dependent term of the Hamiltonian at the left border ##z=0## of the domain where the beam is modeled. By assumption, ##\vec{n}## is the unit vector along the ##z## axis. Thus the spot on the screen has intensity distribution $$I(x_1,x_2)=\int_{t=0}^T\Big\langle \vec j_3(t,x_1,x_2, Z) \Big\rangle dt,$$ where ##Z## is the ##z## coordinate of the point where the beam meets the screen? [/QUOTE]
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