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I'm not sure about a reference for this lemma, but maybe this will help. $|\psi_1>|\alpha>, |\psi_2>|\alpha>$ are an orthonormal basis of a two-dimensional subspace of your initial Hilbert space. The $U$ in your equations (it shouldn't be on the right side, by the way) explicitly maps this to orthonormal basis vectors of a subspace of your final ...

2

I think that you have to neglect the s-quark mass not its momenta in your expression. Anyway, if you perform the standard procedure for calculating this integral you will find an expression which is a function of all the possible external momenta and the metric tensor as well. Then you can carry the limit $p_s \to 0$ you will find the formula which are you ...

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Read Lagrange's Mécanique analytique (English translation: Analytical Mechanics). The book is split up into two parts: statics and dynamics. The first chapter, "The Various Principles of Statics," is a beautiful historical overview. Lagrange works out many problems; for example, he has a chapter entitled "The Solution of Various Problems of Statics." But, ...

3

I have finished reading a great book called "The Theoretical Minimum" by Leonard Susskind (a famous string theorist) and George Hrabovsky. It's about classical mechanics but mainly talks about both the Lagrangian formulation and the Hamiltonian formulation of classical mechanics. It is great for beginners in physics or just about anyone. It also reviews the ...

2

The American Journal of Physics has in its archives a couple hundred "Resource Letters," which are mini-reviews of some interesting topic with several hundred references each. The recent resource letters usually group the references by their complexity, making it easy to find "simple" or "thorough" treatments of a topic. The journal is published by the ...

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John Preskill's lecture notes http://www.theory.caltech.edu/people/preskill/ph229/ It will be better if there is some answers to the exercise.

2

The Landau series is less modern than many of the Griener books from the series, however its much more concise and of very high quality. If you are comfortable with the maths and just need some physics insight, Landau is a fantastic choice. If you want some more modern approaches with more thought put into application and examples, then the Greiner books ...

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For Supersymmetry: -Introduction to Supersymmetry, (Müller-Kirsten, Wiedemann) It's very detailed in every aspect, from graded algebras to the lagrangian of Supersymmetry and symmetry breaking.To be supplemented with something on phenomenology (see below) -Supersymmetry and Supergravity, (Wess, Bagger) Very advanced, but a bit obscure. To be ...

2

An Illustrated Guide to Relativity - Tatsu Takeuchi A very enjoyable book on special relativity for beginners. It covers the basics (Lorentz transforms, length contraction, time dilation, velocity addition, twin paradox,...) using spacetime diagrams rather than equations. It's a fun and intuitive introduction. To give you an idea: this is an illustration ...

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A rather recent book is An Introduction to Tensors and Group Theory for Physicists. It also speaks of vectors and tensors at a good level. In my opinion it clears up the confusion physicists tend to make when speaking of these topics. Moreover the book is disseminated with examples and applications from mechanics, EM and QM, so is a great introduction to ...

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you can also read this paper , it is very useful A Possible Intuitive Derivation of the Kerr Metric in Orthogonal Form Based On Ellipsoidal Metric Ansatz.

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The best reference I know of is in the book The Kerr Spacetime, edited by Matt Visser. David Wiltshire and Susan Scott. The introduction by Matt Visser contains a lot of additional info on the original paper, and the subsequent chapter by Kerr contains a detailed account of everything that motivated him to look for the metric and the steps that don't ...

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The original reference is Kerr, R.P. Gravitational field of a spinning mass as an example of algebraically special metrics. Phys. Rev. Lett. 11, 237.

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I would recommend the book Introduction to Conformal Field theory by Blumenhagen and Plauschinn. It is quite sort and can serve as a perfect introduction to CFT. It covers the basics of CFT in the first 3 chapters and then in the remaining 3 it goes on to introduce the CFT concepts that will appear most frequently in String theory. I believe the content of ...

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You have to realize that wave equations and interference phenomena had been studied and understood by the nineteenth century. Plane waves are the simplest mathematical solution of wave equations, where k, is the wave’s wave number or more specifically the angular wave number and equals 2π/λ, where λ is the wavelength of the wave. k, has the units of ...

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