superposition principle and continuity

sciboudy

hello
i have question : how the superposition principle proves continuity of ψ in potential barrier

sciboudy

and how to prove the continuity of psi

mfb

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.

sciboudy

okay .... but how to prove continuity of psi by super position ? example in potential barrier

Fredrik

I don't understand the "by superposition" requirement. Since ψ satisfies the Schrödinger equation, it's differentiable, and every differentiable function is continuous.

Naty1

Been too long for me to remember details, but I think you can get your answer here:

http://en.wikipedia.org/wiki/Superpo..._superposition

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??