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.

View attachment 353785View attachment 353786

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.

 

[Demystifier]

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.

Before studying quantum mechanics, you first need to study calculus.

But even if you don't know calculus, you can plot any function with this:
https://www.wolframalpha.com/examples/mathematics/plotting-and-graphics

 

[aine]

 

[aine]

i hope it helps a bit

 

[PeterDonis]

@aine, images of text and equations are not acceptable here. Please type text directly into your post and use the PF LaTeX feature for equations. There is a "LaTeX Guide" link at the lower left of the window you use to type posts.

 

[Dale]

The fake notebook font is pretty. What is the name of the font?

 

[tsumugori]

i just took these form the questions i saw which include sketching psi ( im studying for exam) my problem here was i cant graph a function even tho i can solve the rest of its like demystifier said its lack of calculus information problem i guess thanks for the replies.

 

[Jobean123]

The fake notebook font is pretty. What is the name of the font?

Gloria Hallelujah font --- took me forever but found it

 

[Dale]

Gloria Hallelujah font --- took me forever but found it

Awesome! That is not something I thought I would learn on PF, but I have to say I am pretty happy to have learned it. I may use that font for woodworking.