Advanced and retarded Green's function

Click For Summary

Discussion Overview

The discussion revolves around the topic of advanced and retarded Green's functions and their applications in quantum mechanics, particularly in the context of transport problems in semiconductor devices. Participants seek recommendations for introductory texts and share insights on the complexities involved in the subject.

Discussion Character

  • Exploratory
  • Technical explanation
  • Homework-related

Main Points Raised

  • One participant requests recommendations for introductory books on advanced and retarded Green's functions in quantum mechanics.
  • Another participant inquires about the specific system for which transport properties are being calculated, later specifying semiconductor devices.
  • There is a question regarding whether the original poster has followed a rigorous solid state course, indicating the complexity of the topic.
  • A suggestion is made that a participant named Zapper could provide more assistance, as it is noted to be his area of expertise.
  • A recommendation is given for G.D. Mahan's text "Many-Particle Physics," highlighting its treatment of transport problems through both semi-classical and quantum mechanical approaches.
  • Another participant challenges the use of Green's functions in solving the Boltzmann equation, stating that the Lattice Boltzmann equation is typically used for transport problems in devices.
  • Concerns are raised about the analytical challenges of solving transport problems without using approximations, emphasizing the difficulty of many-body formulations.
  • The original poster expresses gratitude and indicates plans to acquire the recommended books.

Areas of Agreement / Disagreement

Participants express differing views on the applicability of Green's functions in transport problems, with some asserting their relevance while others contest this point. The discussion does not reach a consensus on the best approach or the effectiveness of the recommended texts.

Contextual Notes

There are indications of missing assumptions regarding the background knowledge of participants, particularly in quantum theory and solid state physics. The discussion also reflects varying levels of familiarity with the complexities of many-body problems and transport theory.

QMrocks
Messages
85
Reaction score
0
anybody can recommend a good introducotry book on "advanced and retarded Green's function" and its application to QM, particularly transport problems. Thanks. :smile:
 
Physics news on Phys.org
What is the system you are calculating the transport properties of??
 
Dr Transport said:
What is the system you are calculating the transport properties of??

in semiconductor devices.
 
Did u follow a rigurous solid state course?

Daniel.
 
dextercioby said:
Did u follow a rigurous solid state course?

Daniel.

i guess so.. but many body problems in SS bandstructure calculations not touched on.
 
I think Zapper could give u more assistance.It's his area of expertise.

Daniel.
 
dextercioby said:
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. :-p
 
dextercioby said:
He will.Trust me.:wink:

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.
 
  • #10
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.
 
  • #11
Thank you people. Will get my hands on these 2 books first. :)
 

Similar threads

Graduate Positive polarity of a retarded Green's function's imaginary part
  • · Replies 7 ·
Replies
7
Views
2K
Undergrad Toy problem to motivate the idea of advanced Green's functions
  • · Replies 0 ·
Replies
0
Views
3K
Undergrad The imaginary part of the wave function
  • · Replies 6 ·
Replies
6
Views
2K
Graduate Lesser Green's function
  • · Replies 1 ·
Replies
1
Views
1K
Graduate Calculating nonequilibrium Green's Functions
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Path integral propagator as Schr's eq Green's function
  • · Replies 21 ·
Replies
21
Views
5K
Graduate Klein Gordon ret. Greens function on closed form
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Green's function for 2-D Laplacian within square/rectangular boundary
  • · Replies 5 ·
Replies
5
Views
3K
Graduate Green's Functions and Feynman Diagrams
  • · Replies 3 ·
Replies
3
Views
2K
Graduate Why "Green's function" is used more than "correlations" in QFT?
  • · Replies 5 ·
Replies
5
Views
2K