Question

Schrodinger's Equation
(see attached)

Answer 1

So this is how the function would look.

Answer 2

Apart from that I don't have a clue.

Answer 3

\[\frac{ 1 }{ \left| A \right|^{2} }=\int\limits_{-\infty}^{+\infty}\left| \psi \right|^{2}dx\]

Answer 4

I got this, but i'm not sure.

Answer 5

then I get:
\[\left| A \right|^2=-2e ^{\frac{ 2x }{ a }}\]

Answer 6

but A should be positive and real...

Answer 7

Your integration must be wrong.

Answer 8

i double checked but can't see the problem

Answer 9

Since you integrate between two limits (0 and +infinite), you must find an expression without x.

Answer 10

I think \(A=\sqrt {\dfrac{2}{a}}\)

Answer 11

can you please walk me through how you got that?

Answer 12

primitive of \(e^ {-\dfrac{2x}{a}}\) is \(-\dfrac a2 \;e^ {-\dfrac{2x}{a}}\)

Answer 13

Ah yes that's where I went wrong. thank you!

Answer 14

Is this the sketch for part (b)?