My Booklist
It's a record of my personal learning path. Maybe useful to some others who want to do research in Computational condensed matter physics.
Math textbooks
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Sheldon Axler, «Linear Algebra Done Right»
- MASTERPIECE! Teach linear algebra in a higher point of view. Not just matrix calculations, but also functional, linear space, operators ...... Attention, it's not a techincal book, it tells you how to prove statements and formalism of linear algebra, but didn't mention many calculation details.
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Qiao Gu, «Mathematical Methods for Physics»
- A good textbook for mathematical methods. But unlike many other books, this book only introduce mathematical physics equations (Several Methods to solve PDE, ODEs) but didn't mention Complex analysis.
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Chongshi Wu, «Mathematical Methods for Physics»
- Popular Mathematical Methods textbook in China.
Quantum Mechanics
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David J. Griffiths, «Introduction to Quantum Mechanics»
- Griffiths is suitable for beginners and suitable for self-study.
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Claude Cohen-Tannoudji, «Quantum Mechanics»
- Cohen-Tannoudji is complete and contain nearly anything in QM. Especailly, Chapter 2. formalism is excellent.
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Xinglin Ka, «Advanced Quantum Mechanics»
- A nice Chinese Advanced QM textbook.
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J. J. Sakurai, «Modern Quantum Mechanics»
- Elegent Advanced QM textbook, teach QM in a higher point of view, MASTERPIECE!
Electrodynamics
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David J. Griffiths, «Introduction to Electrodynamics»
- Suitable for beginners (even for whom know nothing about electromagnetics before). Very clear and illustrated. However, for theoritical physcis students it's not deep enough. The biggest problem is: it didn't mention Green Function.
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Wolfgang Nolting, «Electrodynamics»
- Popular electrodynamics textbook in Germany. Teach in a theoritist point of view, many mathematics but little physics insight or example, may lost in math details. I recommand to read this book with Griffiths or other textbooks.
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David Jackson, «Classical Electrodynamics»
- Graduate-level textbook, very hard, not for beginners. But useful if you want to learn deeper in EM.
Quantum Chemistry
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Attila Szabo and Neil S. Ostlund, «Modern Quantum Chemistry»
- Nice quantum chemsitry textbook, very clear. Everyone in the field of quantum chemistry and computational condensed matter physics should read first three Chapters!
Useful links
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Physics stack exchange: https://physics.stackexchange.com/
- A professional physcis forum. every time I ask a question, I got answer very soon (less than 1 day).