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Full Description
This practical guidebook provides a comprehensive set of exercises which illustrate the most relevant concepts in a first course on quantum many-body theory either as part of advanced undergraduate or graduate courses. The problems come with detailed solutions which can easily be followed either by both professors and students. Quantum many-body theory is relevant in a number of fields, from condensed matter to astrophysics. The problems proposed in this book cover this variety of topics and are illustrated whenever possible with state-of-the-art-examples.
Key Features:
Provides a problems-based approach to quantum many-body theory, unlike existing textbooks.
In-depth solutions to problems are presented, with the aim to maximize understanding and improve the teaching experience of the subject.
The multidisciplinary nature of quantum many-body theory is explored in problems that deal with nuclear physics to ultracold atoms and astrophysics.
Contents
1. Symmetries.
2. 2-body distribution function.
3. Fermions in 1-D.
4. Green's function.
5. Energy of the Free Fermi sea at T = 0.
6. Free Fermi sea at finite temperature.
7.Dynamic structure function.
8. Hartree-Fock.
9. Second quantization.
10. Density matrices.