- #1
Ed Quanta
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I have to show that if a wave function (Schrodinger) has a potential V(x) and the wave function's complex conjugate has a potential V'(x) and V(x) does not equal V'(x),
this contradicts the continuity equation dp/dt + div J =0
where p=charge density, and J=current density.
Can someone help me with this problem? I am unsure of how to represent dp/dt, even though I am pretty sure p= the modulus of the wave function squared. I am unsure of how to find J in terms of the Hamiltonian which I think is necessary to solve this thing.
this contradicts the continuity equation dp/dt + div J =0
where p=charge density, and J=current density.
Can someone help me with this problem? I am unsure of how to represent dp/dt, even though I am pretty sure p= the modulus of the wave function squared. I am unsure of how to find J in terms of the Hamiltonian which I think is necessary to solve this thing.