Sketching Psi as a function of x

[tsumugori]

How do i sketch a psi function when there is no sinus or cosinus i see sometimes its curving but sometimes its directly going down when reaching the top whats the decisive factor here to sketch a graph.

 

[PeterDonis]

To sketch any function you have to have some knowledge about it. What particular wave function are you interested in? Can you give a reference? Can you describe the particular physical situation?

 

[Dale]

A reference would be especially helpful. You said "I see sometimes ...". So a link to one of those would be best.

 

[tsumugori]

 

[pines-demon]

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The first problem literally provides the instructions to draw the wave function. The second image is missing information. It would be better if you provide full citations of the problem you are truly interested in.

 

[FactChecker]

How do i sketch a psi function when there is no sinus or cosinus i see sometimes its curving but sometimes its directly going down when reaching the top whats the decisive factor here to sketch a graph.

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Your description seems wrong. There is no "curving". The function pieces together straight lines. Evaluate the function at x=0, x=a, and x=b and see how far you can get from there.

PS. This looks like a homework-type of problem. For those, there is a specific format and we are only allowed to give hints and guidance on your work.

 

[Dale]

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Does it help to notice that the $a\le x \le b$ region can be written as $$\Psi = \frac{A}{a-b}x+\frac{Ab}{b-a}$$ which is the standard equation of a line $y=mx+b$

Hopefully the other two regions are even easier to recognize.

 

[pines-demon]

Your description seems wrong. There is no "curving". The function pieces together straight lines. Evaluate the function at x=0, x=a, and x=b and see how far you can get from there.

PS. This looks like a homework-type of problem. For those, there is a specific format and we are only allowed to give hints and guidance on your work.

Does it help to notice that the $a\le x \le b$ region can be written as $$\Psi = \frac{A}{a-b}x+\frac{Ab}{b-a}$$ which is the standard equation of a line $y=mx+b$

Hopefully the other two regions are even easier to recognize.

I do not think that this is what OP is trying to solve, he just took random examples from the internet. OP please clarify.