# Quantum mechanics: how to sketch the wave function?

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I don't see how the solution you found corresponds to the problem.

Your solution is incorrect because you ignore the function in [0, a].

so should i do the same integrate with the both intervales ?

Compute the integral over the entire range [0, b]. Equate the result with 1 and solve it for A.

http://im26.gulfup.com/2012-09-13/1347559112201.jpg [Broken]

how is it now !

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I do not see any difference from the previous attempt. You are still not taking the entire [0, b] range.

sorry I upload the wrong pic.

hear is the whole range.

http://im24.gulfup.com/2012-09-13/1347562820501.jpg [Broken]

I hope that I'm doing well.

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This seems OK.

vela
Staff Emeritus
Homework Helper

fine,, thanx

so how should I sketch the function now ?!

vela
Staff Emeritus
Homework Helper
Put to use what you learned in your algebra classes and plot the function.

Iam trying ,,
is the time on the (x-axis)
and the position on the (y-axis) ?

should I write two tabels for the both cases individual !!

You are asked to sketch the function at t = 0 as a function of x.

while i asked to sketch at t=0 , so i will use the first function ..

http://im18.gulfup.com/2012-09-13/1347568161121.jpg [Broken]

i Supposed a random numbers ,,

how is it ?!!

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You need to sketch this on the interval [0, b]. With a somewhere in between. Random numbers are useless.

sorry
can you explain more please ,,
how could I draw without a points !!

On the x axis, choose some interval. Label its left end "0", its right end "b". Somewhere in that interval, choose another point, label it "a". What are the values of the function at those three points? Put them on them on the diagram. What else do you need to complete the sketch?

how to chose the values of the position,which located on the y-axis ?

I do not understand the question.

I am trying to say that ,,
if the time will label on the x-axis with 3 points (0,a,b)
what is the functions which should label on the y-axis ?

As I already said, there is no time in this problem. As to what labels you should use on the y axis, consider what values you are going to plot.

i'm keep trying , but I do not know why I did n't catch the idea !!

is this right ?

http://www.gulfup.com/show/X356ozhua4h0kks [Broken]

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What are the values of the function at 0, a and b?

ψ = Ax/a
ψ = A (b-x)/(b-a)

i know that it's not available to put an (a variable) as a point ,,
that it's why I want to suppose a value for "a" and "b" !!

Those are not values of the function. Those are the function itself.