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While solving the time-independent Schrodinger Equation for a particle in a certain delta potential, I have reached the point where I am trying to satisfy the continuity condition:

[tex] \psi(a^-) = \psi(a^+) [/tex]

Which has lead me to:

[tex] Ce^{\kappa a} + De^{-\kappa a} = Ge^{-\kappa a} [/tex]

I'm just wondering what (if anything) should I do to simplify this? I have to get a handle on these coefficients in the different regions so that I can normalize later. Note [tex] \inline a>0 [/tex].

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# Delta Potential Question

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