Advanced and retarded Green's function

[QMrocks]

anybody can recommend a good introducotry book on "advanced and retarded Green's function" and its application to QM, particularly transport problems. Thanks.

 

[Dr Transport]

What is the system you are calculating the transport properties of??

 

[QMrocks]

What is the system you are calculating the transport properties of??

in semiconductor devices.

 

[dextercioby]

Did u follow a rigurous solid state course?

Daniel.

 

[QMrocks]

Did u follow a rigurous solid state course?

Daniel.

i guess so.. but many body problems in SS bandstructure calculations not touched on.

 

[dextercioby]

I think Zapper could give u more assistance.It's his area of expertise.

Daniel.

 

[QMrocks]

I think Zapper could give u more assistance.It's his area of expertise.

Daniel.

thanks for the tip. Will send him a PM to drop by my thread too.

 

[dextercioby]

He will.Trust me.

Daniel.

 

[ZapperZ]

He will.Trust me.

Daniel.

Gosh, I'm just way too predictable.

I strongly recommend G.D. Mahan's text "Many-Particle Physics". Here, the transport problem is dealt with in two (if not more, but I can't remember) different ways: the semi-classical treatment using Boltzmann transport equation, and the Kubo formulation that is quantum mechanical in nature. This is where the Green's function formulation comes into play, both directly and indirectly.

Zz.

 

[Dr Transport]

Greens functions are not used in solving the Boltzmann equation, at least I have never seen that formalism used if it has. As for solving transport problems in devices, the Lattice Boltzmann equation is used. I have not looked at using the Kubo formulation so I cannot say.

If you are tring to do this analytically, it won't happen unless you use the relaxation time approximation and even then it will be tricky.

Mahan is a good place to start, Fetter and Walecka another. Many body formulations are very difficult to work with and take time to get used to. If your quantum theory is weak, it will be difficult but you can get thru it.

 

[QMrocks]

Thank you people. Will get my hands on these 2 books first. :)