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Computing time-ordered products via Wick's theorem is fairly straightforward, schematically, $$\mathcal{T} \left\{ \phi_1 \phi_2 \dots \phi_n\right\} = \; : \sum \mathrm{all \;possible \; contractions}:$$ where colons denote normal-ordering, and for simplicity we have chosen a real scalar field, and the notation $\phi_n$ denotes a field evaluated at the ...


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For linear algebra regarding matrices (gaussian elimination, eigenvectors, laplace transforms etc.) try the MIT opencourseware playlist on youtube. http://www.youtube.com/playlist?list=PLE7DDD91010BC51F8 In case of link rot in the future : Course Title : MIT 18.06 Linear Algebra, Spring 2005 Instructor: Prof. Gilbert Strang Abstract : This is a basic ...


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Higher maths for beginners is ana amzing little book on all the subjects you mentioned, written by one of the fathers of Soviet nuclear bomb, and theoretical phsyicists. On math physics, the best introductory test is Elements of applied math physics, it has dufferential equations and complex analysis and other cool topics. Unfortunately, it may not have ...


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Tthis is again probably a duplicate. See here for a full list of links to book questions. By 'alrebra book (college level)' what do you mean exactly? Algebra in maths is a HUGE area. If you mean Linear Algebra, then maybe I.M. Gelfand is a great book, but probably not the best for a first read. Anton & Roerrs would be better for a first book, ...


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If you are interested in physical applications you could also include: Bratteli-Robinson: Operator algebras and quantum statistical mechanics It is a two-volume quite complete book, mathematically minded, discussing lots of applications of operator algebras theory to several physical systems, especially arising from statistical mechanics. Haag: Local ...


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You might consider having your research mentor co-write a paper with you and submit it to a journal of pedagogy such as The Physics Teacher. Or, if your result is novel enough, any peer-reviewed research journal that includes in its scope the type of science you have worked on in the lab. Your mentor should have some idea of whether this is appropriate or ...


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There aren't really many books on quantum cryptography. The only one I am aware of is a book titled Applied Quantum Cryptography. The Nielsen and Chuang book has a few pages dedicated to quantum cryptography in chapter 12.6. However, I would recommend the following review papers on quantum cryptography as opposed to textbooks: Gisin et. al (2001) ...


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I found chapters in books on regge theory as: (P. D. B. Collins) An Introduction to Regge Theory. (Geoffrey F. Chew) S-Matrix Theory of Strong Interactions. (S. C. Frautschi) Regge Poles and S-Matrix Theory. (V. N. Gribov) The Theory of Complex Angular Momenta.


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You must also take in account the diagram where a muon is the intermediate state, although it is not dominant. This particle will connect the two Higgs vertices.


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It seems like you want Discrete Exterior Calculus. This formalizes discrete 'approximations' to continuous ideas like differential forms and such, but without depending on an underlying continuous theory: it's developed through chains and cochains on a simplicial complex from the bottom up. Here's the main original thesis, and Here's a good overview of the ...


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First let me refer you to Eric Weinberg's book where the instanton moduli space is described in more detail. Principal bundles over 4-dimensional Riemannian manifolds are classified by the second Chern class = Instanton number and the t' Hooft discrete Abelian magnetic fluxes. Please see the following Lecture notes by Måns Henningson. t' Hooft fluxes ...


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There is an excellent book called "The Road to Reality" by Roger Penrose. It is an interesting mix, being written in a conversational, easy going and accessible way, with brilliant and insightful descriptions from a real master of the craft. However, it does not skimp on the mathematics. If you are serious about exploring quantum mechanics, and ...


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I actually wanted to post this as a comment but due to a lack of points I cannot do so. http://en.wikipedia.org/wiki/List_of_semiconductor_materials This is a pretty big list of semiconductors including their bandgaps and whether they are direct or not. I hope this is what you are looking for.


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this is my paper which show that the space in some special curved spacetime is discreete by using one form of generalized uncertainty principle. This paper has been published in {Advances in High Energy Physics} http://www.hindawi.com/journals/ahep/2013/124543/


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Kyle Kanos mentioned Geometric Algebra for Physicists. While geometric algebra is somewhat different in notation from differential forms, the basic concepts are all there, and in many ways, geometric algebra avoids some cumbersome things that differential forms does (I'm thinking of Hodge duality in particular). I think the notation is easier to relate to ...


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If you'd like to quickly obtain an understanding of the basics of differential forms, including their relation to connections, tangent bundles etc. I recommend the first 4 online lectures of the Perimeter Institute from the Gravitational Physics course (13/14, R. Gregory).


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A very good introduction is "Introduction to Elementary Particles" by David Griffiths. Then, if you really want to get into the nitty gritty, jump to a text on quantum field theory, such as: "Quantum Field Theory" by Franz Mandl and Graham Shaw "Quantum Field Theory in a Nutshell" by A. Zee, specially if you have any background in the path integral ...


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The best math book I ever read with respect to being useful for physics is Vector Calculus, Linear Algebra, and Differential Forms: A Unified Approach (2nd Edition), by Hubbard and Hubbard. It is an absolute gem. It gets you through linear algebra and differential forms starting from square one, assuming you only know algebra and calculus. The proofs are ...


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You could also try the VizieR online catalog of astronomical databases Put "binary stars" in the search box and you will find many databases, many of which will include the sort of orbital parameters you are looking for.


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Try to read this paper Accurate masses and radii of normal stars: modern results and applications. G. Torres, J. Andersen and A. Gimenez. Astron. Astrophys. Rev. 18 no. 1-2, pp. 67-126 (2010), arXiv:0908.2624. You can find links to systems with orbits and accurate fundamental parameters there. Some of them calculated on the base of third Kepler's law. ...



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