Problems and Solutions in Many-Body Quantum Theory: Sailing the Fermi Sea

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.

Bruno Julià-Díaz has been an associate professor in the Department of Quantum Physics and Astrophysics of the University of Barcelona since 2017. He obtained his PhD at the University of Salamanca in 2003, having subsequently carried out several post-doctoral stays at the University of Helsinki (2003-2004), the Atomique Energy Center (2004-2005) and the University of Pittsburgh (2005). He has been a Juan de la Cierva researcher (2006-2009) at the ICFO and a Ramón y Cajal researcher (2012-2017) at the UB. His research ranges from nuclear and hadron physics to ultra-cold gases and quantum multi-body physics. He has written one textbook on first year calculus and two popular books.

Arnau Rios Huguet is a theoretical nuclear physicist currently based at the University of Barcelona. Since the start of his scientific career in 2005, he has published over 40 refereed papers; supervised 5 PhD students; and has been awarded 3 individual fellowships to pursue his research interests. His work mainly focuses on nuclear many-body physics, using a variety of techniques that allow to tackle nuclear structure and dynamics problems and provide microscopic predictions for neutron-star physics. Dr Rios holds a PhD from the University of Barcelona (2007); was a postdoctoral research associate at Michigan State University (USA, 2007-2009); and a Marie Curie (2009-2011) and STFC Advanced Fellow (2011-2016) at the University of Surrey, where he was also a lecturer between 2015 and 2020.

Artur Polls Martí (1952-2020) was a Professor of Physics at the University of Barcelona. He was a leading quantum many-body physicist, making significant contributions in the theoretical understanding of a variety of fields, including nuclear physics, quantum liquids and ultracold gases. Prof Polls was the author of over 200 refereed publications, and supervised 10 students. He started his career at the University of Barcelona, followed by a postdoctoral stint at the University of Tuebingen and a position at the University of Granada. Upon his return to Barcelona, he helped create an active community of researchers in quantum many-body physics that is extremely active at present.