Physics education research, electronic materials, and the musings of Christopher Moore, Ph.D.
Physics education research, electronic materials, and the musings of Christopher Moore, Ph.D.
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Hi all, I have a project to do for system of ordinal differential equations and their applications in physics.
One of my tasks is to find where in physics the following system of ordinal differential equations appear:
dA1(x)/dx=f(x).A2(x)
dA2(x)/dx=f(x).A1(x)+ h(x).A2(x)+ g(x).A3(x)
dA3(x)/dx= g(x).A2(x)
Could someone help me? Thanks
my email: atanas1234@abv.bg
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Also application of higher dimensional system could be useful
dA1(x)/dx=f(x).A4(x)
dA2(x)/dx= g(x).A4(x)
dA3(x)/dx= k(x).A4(x)
dA4(x)/dx=f(x).A1(x)+ g(x).A2(x)+ k(x).A3(x) +h(x).A4(x)
or application of lower dimensional system
dA1(x)/dx=-f(x).A1(x)+ g(x).A2(x)
dA2(x)/dx= g(x).A1(x)+ f(x).A2(x)
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You will find ODEs common throughout physics, specifically thermal physics, RLC circuits and quantum. There is a really long list of important differential equations from mathematical physics at mathworld:
http://mathworld.wolfram.com/OrdinaryDi … ation.html
Some of the simpler and more immediately applicable ODEs will come from RLC circuits and harmonic motion.
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Yes this link is very good, Thanks... it contains a really long list of ODE, but this is classification of first order and second ODE and not applications of them.
What I need is to find application of those equations that I wrote earlier, or for the following simplest one
dA(x)/dx=B(x)xA(x)
Here A(x)=(A1(x), A2(x), A3(x)) and B(x)= (B1(x), B2(x), B3(x)) are vectors and x is the vector product
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I found some suitable articles, but it is not exactly what I need
Any way something like this could help me
http://www.iop.org/EJ/abstract/0953-4075/42/5/055504/
this Is Stimulated Raman adiabatic passage analogues in classical physics
or here in the arxiv
http://arxiv.org/abs/0812.0361
If some could give something similar it will be grate
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