i have question : how the superposition principle proves continuity of ψ in potential barrier
and how to prove the continuity of psi
Does this question have any context? Book/paper/whatever?
A discontinuous wave function cannot satisfy the Schroedinger equation (it does not have a spatial derivative), but this has no clear relation to superposition. And it is independent of any explicit potentials.
okay .... but how to prove continuity of psi by super position ? example in potential barrier
I don't understand the "by superposition" requirement. Since ψ satisfies the Schrödinger equation, it's differentiable, and every differentiable function is continuous.
Been too long for me to remember details, but I think you can get your answer here:
especially quantum superposition....
Schrodinger equation IS linear, and the superposition principle holds because, by definition, a linear system must be additive......is THAT what you mean??
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