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- Quantum
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- #2

Baluncore

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I am not surprised.It is hard to understand for me now.

Can you be more specific about what you are having trouble with.

Is it some mathematics in particular, or the physical concepts?

- #3

DrClaude

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It is not an introductory book. Assuming you have the proper level in quantum mechanics, a better place to start is

https://www.cambridge.org/core/books/introduction-to-quantum-optics/F45DCE785DC8226D4156EC15CAD5FA9A

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But seems like Cohen's book is fundamentally theoretical while Grynberg's book is more like its application(about light-matter interaction)?It is not an introductory book. Assuming you have the proper level in quantum mechanics, a better place to start isIntroduction to Quantum Opticsby Greenberg, Aspect, and Fabre.

https://www.cambridge.org/core/books/introduction-to-quantum-optics/F45DCE785DC8226D4156EC15CAD5FA9A

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J. Garrison and R. Chiao, Quantum optics, Oxford University

Press, New York (2008)

https://doi.org/10.1093/acprof:oso/9780198508861.001.0001

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But my main purpose is not looking for one quantum optics book. Cohen's book is on QED and is very fundamentally theoretical. It seems so unique that I wonder if there are other books alike?

J. Garrison and R. Chiao, Quantum optics, Oxford University

Press, New York (2008)

https://doi.org/10.1093/acprof:oso/9780198508861.001.0001

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M. D. Schwartz, Quantum field theory and the Standard

Model, Cambridge University Press, Cambridge, New York

(2014).

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Thanks. I am now reading Susskind's Special Relativity and Classical Field Theory and feel it is of good help.

M. D. Schwartz, Quantum field theory and the Standard

Model, Cambridge University Press, Cambridge, New York

(2014).

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This book's contents are rather new to me. For example, the chapter 1 talks about electrodynamics(Maxwell's equations) in reciprocal space. Are there any books talking about it?I am not surprised.

Can you be more specific about what you are having trouble with.

Is it some mathematics in particular, or the physical concepts?

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- #11

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I am not aware of such a book. Does Jackson's book talk about it? Can you name some of them? Thanks.

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- #13

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Sorry I can't catch what you said above. I simply feel hard to find such a book/books. Stratton's book ? Can you be more in detail? Thanks.

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If you look for a specific book on the math of Fourier transforms, I can recommend

M. Lighthill, Introduction to Fourier analysis and generalised functions, Cambridge University Press (1958).

That's precisely what you need for classical and quantum field theory concerning Fourier transformation.

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Thanks. Any book about the Fourier transformations on Maxwell's equations? I need some treatment on it, not to deduce it by myself.

If you look for a specific book on the math of Fourier transforms, I can recommend

M. Lighthill, Introduction to Fourier analysis and generalised functions, Cambridge University Press (1958).

That's precisely what you need for classical and quantum field theory concerning Fourier transformation.

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I found another book by them(Grynberg et. al.) talks some about it: Introduction to Quantum Optics. But still I felt it not very in detail.Thanks. Any book about the Fourier transformations on Maxwell's equations? I need some treatment on it, not to deduce it by myself.

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- #17

DrClaude

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That's the book I suggested above.I found another book by them(Grynberg et. al.) talks some about it: Introduction to Quantum Optics. But still I felt it not very in detail.

You have to start somewhere. If Photons and Atoms is too high a level, then this one is a good place to start.

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I browsed Grynberg's book. Its chapter 6 can be a complement. But I felt it more complicated than Cohen's book, Cohen's book is more basic.That's the book I suggested above.

You have to start somewhere. If Photons and Atoms is too high a level, then this one is a good place to start.

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If it's about quantum optics (which I'd characterize as the physics of the quantized electromagnetic field with atoms, molecules, and condensed matter, which can be treated within non-relativistic quantum mechanics), you need a good grasp of classical electrodynamics (Griffiths's book should be sufficient) and quantum mechanics including QFT ("2nd quantization") (Sakurai). Both topics heavily involve Fourier transformations. You really can't miss it. Then you can start with quantum optics. My favorite intro book is Garrison and Chiao or Scully and Zubairy.

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I read your reply on :

If it's about quantum optics (which I'd characterize as the physics of the quantized electromagnetic field with atoms, molecules, and condensed matter, which can be treated within non-relativistic quantum mechanics), you need a good grasp of classical electrodynamics (Griffiths's book should be sufficient) and quantum mechanics including QFT ("2nd quantization") (Sakurai). Both topics heavily involve Fourier transformations. You really can't miss it. Then you can start with quantum optics. My favorite intro book is Garrison and Chiao or Scully and Zubairy.

https://www.physicsforums.com/threads/fourier-transform-of-maxwells-equations.992601/

That is what I need. Thank you very much.

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- #22

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In fact, it is very hard for me to find relative books. I just find in Landau's the Classical Theory of Fields section 51 talks a little about it.

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