- #1
QMrocks
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anybody can recommend a good introducotry book on "advanced and retarded Green's function" and its application to QM, particularly transport problems. Thanks. 
Advanced and retarded Green's function
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SUMMARY
The discussion centers on the recommendation of introductory texts for understanding advanced and retarded Green's functions in quantum mechanics (QM), particularly in the context of transport problems in semiconductor devices. Participants suggest G.D. Mahan's "Many-Particle Physics" for its comprehensive treatment of transport problems using both the semi-classical Boltzmann transport equation and the quantum mechanical Kubo formulation. Additionally, Fetter and Walecka's works are mentioned as valuable resources. The conversation highlights the complexity of many-body problems and the necessity of a solid foundation in quantum theory for effective comprehension.
PREREQUISITES- Understanding of quantum mechanics principles
- Familiarity with many-body physics
- Knowledge of the Boltzmann transport equation
- Basic concepts of Green's functions
- Study G.D. Mahan's "Many-Particle Physics" for insights into transport problems
- Explore Fetter and Walecka's texts for advanced many-body formulations
- Research the Kubo formulation for quantum mechanical transport analysis
- Investigate the Lattice Boltzmann equation for solving transport problems in devices
Students and researchers in quantum mechanics, semiconductor device engineers, and anyone seeking to deepen their understanding of transport phenomena using advanced Green's functions.
- #2
Dr Transport
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What is the system you are calculating the transport properties of??
- #3
QMrocks
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Dr Transport said:
in semiconductor devices.
- #4
dextercioby
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Did u follow a rigurous solid state course?
Daniel.
Daniel.
- #5
QMrocks
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dextercioby said:
i guess so.. but many body problems in SS bandstructure calculations not touched on.
- #6
dextercioby
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I think Zapper could give u more assistance.It's his area of expertise.
Daniel.
Daniel.
- #7
QMrocks
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dextercioby said:
thanks for the tip. Will send him a PM to drop by my thread too.
- #8
dextercioby
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He will.Trust me.
Daniel.
Daniel.
- #9
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dextercioby said: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.
- #10
Dr Transport
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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.
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
QMrocks
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Thank you people. Will get my hands on these 2 books first. :)
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