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/sci/ - Science & Math


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2379946 No.2379946 [Reply] [Original]

Hello /sci/. I am a physics and applied math double major, and I am in an independent research seminar where I need to do a research project. I decided to double major fairly later on in my studies, so I am much farther in my math degree.

When talking with the instructor about a topic research, I mentioned I would rather something more mathematical, and we came upon Real-space Green's function theory of electrical structure.

Now my question is...what exactly is this? I know what Green functions are and their uses in PDEs. But what should I be looking into?

>> No.2379953

Sorry, forgot to mention this is for a physics independent research class.

>> No.2379980

What year are you?

>> No.2379990

>>2379980
Well, I'm a junior time wise. I'm in senior and grad level math classes (i'm ahead in that major) but am in sophomore level physics classes (like I said, started my physics degree a little late)

>> No.2380002

>>2379946
What's Green's function?

>> No.2380003

>>2379946
>Real-space Green's function theory of electrical structure.

You aren't referring to use of Green's theory in Maxwell's laws, are you?

>> No.2380015
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2380015

>>2380002
That's the part I know. It's a method for solving inhomogeneous differential equations.

I'm just not sure on what the electrical structure part means. That's more quantum stuff, right? What falls under "electrical structure?"

>> No.2380027

>>2380003
Don't think so. That's the way he worded it and called it, not me. I know Green's theorem is used to help solve inhomogeneous diff eqs, and can be used with the wave equation. When I google "theory of electrical structure" I get a lot of quantum stuff. I was expecting E&M to come up, but I am much more excited to do quantum applications. But "theory of electrical structure" is pretty broad. I don't know what topics there are that I can cover

>> No.2380032

>>2380015
I believe that by "electrical structure", they mean the motion and positions of electrons around a positive nucleus.
See:
http://arxiv.org/PS_cache/physics/pdf/0009/0009018v2.pdf

I hope your dirac notation is up to scratch.

>> No.2380059
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2380059

>>2380032
Oh man, thank you very much for that, that is very helpful!

Any other suggestions or areas of focus?

>> No.2380076

>>2380059
Most welcome, I'm actually a physics/applied maths double major too, although I chose to do applied maths at the end (opposite to you).

This is just a guess, but there may be uses of Green's Function in Solid State Physics (ie study of the electronic structure on material surfaces).