Interpretation for continuity equation with complex potential.

[peripatein]

For the potential V(x)=V1(x)+iV2(x) the continuity equation yields: ∇⋅j=-∂ρ/∂t + 2*ρ*V₂/ħ (unless I am mistaken). What is the interpretation of this result?

 

[Evo]

For the potential V(x)=V1(x)+iV2(x) the continuity equation yields: ∇⋅j=-∂ρ/∂t + 2*ρ*V₂/ħ (unless I am mistaken). What is the interpretation of this result?

What have you worked out yourself to answer this? Is this a homework question?

 

[peripatein]

Actually, this isn't a HW question. I wish to solve it in preparation for an exam. I have worked out the value of the constant, to wit 2*ρ*V2/ħ, myself. I am struggling with fully construing its meaning.

 

[Jilang]

Non conservation of charge?