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jasum
Sep1-06, 03:01 AM
The description in P.252in liboff's quantum mechanics,

I cannot not figure out the continuity and continue in first order derivative of the wave function

\varphi_I = \frac{1}{\sqrt{\kappa}} \exp {(\int_{x_1}^{x} \kappa dx)}


in (7.184)

\varphi_{\amalg} = \frac{2}{\sqrt{k}} \exp {(\int_{x_1}^{x} k dx + \pi/4)}


and (7.185)

The potenial is

V(x) = E - F_1 (x-x_1)


F1 is a constant
where the boundary is in x1
Thank you!