Register to reply

Central potential

by mystraid
Tags: central, potential
Share this thread:
mystraid
#1
May2-10, 12:48 PM
P: 3
Hello,

I am trying to compute the potential for a central force of the form: F(r) = f(r)r
where r=|r|

Using the conservative force information, equation1 comes for potential V(r):

equation1: V(r) = [tex]\int [/tex] (-F(r))= [tex]\int [/tex] (-f(r) r)

In wikipedia it is stated that this integral is bounded from |r| to infinity. However I could not understand the reason.

Could someone help me?
Thanks..
Phys.Org News Partner Science news on Phys.org
Wildfires and other burns play bigger role in climate change, professor finds
SR Labs research to expose BadUSB next week in Vegas
New study advances 'DNA revolution,' tells butterflies' evolutionary history
tiny-tim
#2
May2-10, 02:57 PM
Sci Advisor
HW Helper
Thanks
tiny-tim's Avatar
P: 26,151
Hello mystraid! Welcome to PF!

It has to be bounded from |r| to somewhere

we can choose that somewhere to be anywhere, but it makes it simplest if we choose it to be ∞ (so the potential is always 0 at ∞).
mystraid
#3
May3-10, 04:58 AM
P: 3
Thank you for the reply tiny-tim.

And, I have another question. What if the function is dependent on the position vector r but not the magnitude of it?

So:

F(r) = f(r)r

Then is there any potential for such a force, and if so, under what conditions it exists?

Thanks

tiny-tim
#4
May3-10, 05:06 AM
Sci Advisor
HW Helper
Thanks
tiny-tim's Avatar
P: 26,151
Central potential

I'm sorry, I don't understand.
mystraid
#5
May3-10, 05:20 AM
P: 3
Me, too


Register to reply

Related Discussions
Motion in a central potential Advanced Physics Homework 0
Precession in a central potential Advanced Physics Homework 3
Central Potential Quantum Physics 3
Scattering in a central potential Advanced Physics Homework 9
Central potential QM problem Advanced Physics Homework 5