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Ultracold Quantum Fields (Theoretical And Mathematical Physics)

On June 19th 1999, the European Ministers of Education signed the Bologna Dec laration, with which they agreed that the European university education should be uniformized throughout Europe and based on the two cycle bachelor master’s sys tem. The Institute for Theoretical Physics at Utrecht University quickly responded to this new challenge and created an international master’s programme in Theoret ical Physics which started running in the summer of 2000. At present, the master’s programme is a so called prestige master at Utrecht University, and it aims at train ing motivated students to become sophisticated researchers in theoretical physics. The programme is built on the philosophy that modern theoretical physics is guided by universal principles that can be applied to any sub?eld of physics. As a result, the basis of the master’s programme consists of the obligatory courses Statistical Field Theory and Quantum Field Theory. These focus in particular on the general concepts of quantum ?eld theory, rather than on the wide variety of possible applica tions. These applications are left to optional courses that build upon the ?rm concep tual basis given in the obligatory courses. The subjects of these optional courses in clude, for instance, Strongly Correlated Electrons, Spintronics, Bose Einstein Con densation, The Standard Model, Cosmology, and String Theory.

Series: Theoretical and Mathematical Physics

Hardcover: 485 pages

Publisher: Springer; 2009 edition (February 27, 2009)

Language: English

ISBN-10: 1402087624

ISBN-13: 978-1402087622

Product Dimensions: 6.3 x 1.2 x 9.3 inches

Shipping Weight: 2.3 pounds (View shipping rates and policies)

Average Customer Review: 5.0 out of 5 stars  See all reviews (2 customer reviews)

Best Sellers Rank: #1,843,139 in Books (See Top 100 in Books) #54 in Books > Engineering & Transportation > Engineering > Aerospace > Gas Dynamics #80 in Books > Engineering & Transportation > Engineering > Electrical & Electronics > Superconductivity #278 in Books > Science & Math > Physics > Nuclear Physics > Atomic & Nuclear Physics

For those who want updating on the status of low-temperature physics, or for students who are learning the subject for the first time, this book is an excellent choice. It not only has challenging problem sets at the end of every chapter, but it contains insightful commentary and the details of how to approach problems in the physics of ultracold gases. As expected for a book on theoretical physics, there is not much discussion on experimental techniques, but enough however to gain an appreciation for the brilliance behind them. A book like this can be partitioned according to three different areas, namely the strategies discussed for solving problems, the physical insights, and topics that would be of interest to the mathematical community:Strategies for the solution of ultracold many-body problems: 1. The renormalization group, which is a method that allows calculations over and above mean field theory, and which allows higher-order (beyond quadratic) fluctuations to be taken into account. Using the renormalization group one can study critical phenomena by finding the fixed points of the renormalization group transformation. This approach is constructive in that it entails that the fixed points be found explicitly, and not merely a proof of their "existence." The renormalization group can also be used to study quantum phase transitions, and this raises the question as to whether it is always true that near a classical critical point the quantum theory reduces to the classical theory. The renormalization group is applicable at any temperature, and it can be used to determine the homogeneous phase diagram of a strongly-interacting imbalanced Fermi mixture. 2.

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