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),(adsbygoogle = window.adsbygoogle || []).push({});

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.

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# Schrodinger Wave Function Question

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