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roadmaps:maimon_qm [2018/02/19 17:02]
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-====== Quantum Physics Roadmap by R. Maimon ====== 
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-<​blockquote>​I would suggest that you don't do any preliminary reading, and just learn QM directly. There is not much to it, the requisite background is very primitive linear algebra, and Dirac'​s book "The Principles of Quantum Mechanics"​ and Feynman'​s "​Lectures on Physics Vol III" can be read with Wikipedia help without any prerequisites. 
  
-The classical mechanics you need to know is not very sophisticated either--- you just need to know Newton'​s laws, and how they come from a Lagrangian or Hamiltonian,​ which is covered in standard sources. You don't need so much deep stuff, although knowing Poisson brackets is handy for seeing the vestigial quantumness ​ in the classical mechanics structure. 
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-I would suggest reading the following Wikipedia pages for a historical perspective,​ which helps a lot with historical literature: 
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-  * [[https://​en.wikipedia.org/​wiki/​Old_quantum_theory|Old quantum theory]] 
-  * [[https://​en.wikipedia.org/​wiki/​Adiabatic_invariant|Adiabatic invariant]] 
-  * [[https://​en.wikipedia.org/​wiki/​Correspondence_principle|Correspondence principle]] 
-  * [[https://​en.wikipedia.org/​wiki/​Matrix_mechanics|Matrix mechanics]] 
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-This is wrongly left out of most books, and this is a shame. There is no unified presentation of the historical material except on Wikipedia, and this is why these pages are up there. Once you get the historical stuff (it's not a lot), Dirac gives a conceptually self-contained introduction to the mathematics,​ the notation, and the physics, while Feynman is path-integral friendly, so you can go on to read Feynman and Hibbs, or Mandelstam and Yourgrau without any delay. 
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-It is usually a waste of time to try to go through prerequisites,​ as these are usually boring and most of the material doesn'​t end up getting used. For QM, you need to come in knowing what a matrix is, and what an eigenvalue is, which is probably best learned from Dirac. 
-<​cite>​Ron Maimon (https://​physics.stackexchange.com/​users/​4864/​ron-maimon),​ What's the standard "​roadmap"​ to learning quantum physics?, URL (version: 2012-10-21):​ https://​physics.stackexchange.com/​q/​41317</​cite></​blockquote>​ 
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-<​blockquote>​For quantum mechanics, the original is still the best: 
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-  * Dirac'​s "The Principles of Quantum Mechanics"​. 
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-It's clear, it's terse, and it's comprehensive. All other books take most of their material from this source. 
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-For a basic short introduction to quantum mechanics, you can't beat: 
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-  * [[http://​www.feynmanlectures.caltech.edu/​III_toc.html|Feynman Lectures on Physics Vol III]] 
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-This is very good and intuitive, and complementary to the remaining books. 
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-Landau and Lifschitz "​Quantum Mechanics"​ 
-is heavy on good exercizes and mathematical tools. L&L include topics not covered everywhere else. The standard undergraduate books on quantum mechanics are not very good in comparison to these, and should not be used. 
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-A book which requires minimum of calculus or continuous mathematics is 
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-  * Nielsen & Chuang: "​Quantum Computation and Quantum Information"​ 
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-This focuses on modern research, and discrete systems in quantum computation. If you don't know calculus, learn it, but you might find this book the most accessible. It's long though. 
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-On advanced quantum mechanics, there are good books are by Gottfried and by Sakurai. Berezin'​s book is also a great classic. 
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-For the path integral, you can read Feynman and Hibbs, but I like Feynman'​s 1948 Reviews of Modern Physics article more. There is also a good book which covers the path integral: 
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-Yourgrau & Mandelstam: Variational Principles in Classical and Quantum Physics. 
-The original source for the Fermionic path integral is still the best, in my opinion: 
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-  * D.J. Candlin: [[https://​link.springer.com/​article/​10.1007%2FBF02745446|Il Nuovo Cimento 4 no. 2, 231 (1956)]] 
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-If you want to convince yourself quantum mechanics is necessary, you should recapitulate the historical development. For this, the following source is good: 
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-Ter Haar's "The Old Quantum Theory"​ (it's short) to learn Bohr Sommerfeld quantization 
-You can also read the Wikipedia page on [[https://​en.wikipedia.org/​wiki/​Old_quantum_theory|old quantum theory]] for a sketchy summary, then look at the page on [[https://​en.wikipedia.org/​wiki/​Matrix_mechanics|matrix mechanics]]. This explains the intuition Heisenberg had about matrix elements, something which is not in Dirac'​s book or anywhere else. Heisenberg'​s reasoning is also found to certain extent in the first chapters of this book: 
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-Connes "​Noncommutative geometry"​. 
-This book is also very interesting for other reasons.<​cite>​Ron Maimon (https://​physics.stackexchange.com/​users/​4864/​ron-maimon),​ What is a good introductory book on quantum mechanics?, URL (version: 2015-10-02):​ https://​physics.stackexchange.com/​q/​33260</​cite></​blockquote>​ 
roadmaps/maimon_qm.1519056171.txt.gz · Last modified: 2018/02/19 16:02 (external edit)