Problems and Solutions in Many-Body Quantum Theory: Sailing the Fermi Sea
暫譯: 多體量子理論中的問題與解決方案：航行於費米海

這本實用指南提供了一套全面的練習題，這些練習題說明了量子多體理論初級課程中最相關的概念，適用於高級本科或研究生課程。這些問題附有詳細的解答，教授和學生都能輕鬆跟隨。量子多體理論在許多領域中都具有相關性，從凝聚態物理到天體物理學。本書提出的問題涵蓋了這些多樣的主題，並在可能的情況下用最先進的例子進行說明。

主要特點：
- 提供基於問題的量子多體理論方法，與現有的教科書不同。
- 提供深入的問題解答，旨在最大化理解並改善該學科的教學體驗。
- 探索量子多體理論的多學科特性，問題涉及核物理、超冷原子和天體物理學。

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 an associate professor at the University of Barcelona. Since the start of his scientific career in 2005, he has published over 50 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.

Héctor Briongos-Merino is a predoctoral researcher at the Universitat de Barcelona, where he began his doctoral studies in January 2024. He obtained his Bachelor's degree in Physics from the University of Valladolid in 2022, receiving the Extraordinary Award in Physics. Following this, he completed his Master's degree in Quantum Science and Technology at the University of Barcelona in 2023. His current research focuses on theoretical aspects of Atomtronics. His work specifically involves the study of ultracold dipolar bosons trapped in atomtronic circuits, exploring the unique properties and behaviors of these quantum systems which have significant implications for quantum simulation, precision measurements, and the exploration of novel quantum phenomena.

Javier Rozalén Sarmiento is a predoctoral researcher at the Department of Quantum Physics and Astrophysics at the University of Barcelona. After finishing his Bachelor's studies in theoretical Physics and a Minor degree in Mathematics (University of Barcelona, 2021), he obtained a Master's degree in Quantum Science and Technology at the University of Barcelona in 2022. Since 2023, he is conducting a PhD in Nuclear Physics, leveraging the latest tools in the field of Artificial Intelligence for nuclear structure calculations.

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 PhD 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.

布魯諾·胡利亞-迪亞茲自2017年以來一直擔任巴塞隆納大學量子物理與天體物理系的副教授。他於2003年在薩拉曼卡大學獲得博士學位，隨後在赫爾辛基大學（2003-2004年）、原子能中心（2004-2005年）和匹茲堡大學（2005年）進行了多次博士後研究。他曾於2006至2009年在ICFO擔任胡安·德拉·西爾瓦研究員，並於2012至2017年在巴塞隆納大學擔任拉蒙·卡哈研究員。他的研究範圍涵蓋核物理和強子物理、超冷氣體以及量子多體物理。他撰寫了一本一年級微積分的教科書和兩本通俗書籍。

阿爾瑙·里奧斯·胡蓋特是一位理論核物理學家，目前是巴塞隆納大學的副教授。自2005年開始他的科學事業以來，他已發表超過50篇經過同行評審的論文；指導了5名博士生；並獲得3項個人獎學金以追求他的研究興趣。他的工作主要集中在核多體物理，使用各種技術來解決核結構和動力學問題，並為中子星物理提供微觀預測。里奧斯博士於2007年獲得巴塞隆納大學的博士學位；曾在美國密歇根州立大學擔任博士後研究助理（2007-2009年）；並在薩里大學擔任瑪麗·居里（2009-2011年）和STFC高級研究員（2011-2016年），在2015至2020年期間也擔任講師。

赫克托·布里翁戈斯-梅里諾是巴塞隆納大學的預科研究員，他於2024年1月開始博士研究。他於2022年在巴利亞多利德大學獲得物理學學士學位，並獲得物理學特別獎。隨後，他於2023年在巴塞隆納大學完成量子科學與技術的碩士學位。他目前的研究專注於原子電子學的理論方面。他的工作特別涉及研究被困在原子電子電路中的超冷偶極玻色子，探索這些量子系統的獨特性質和行為，這對量子模擬、精密測量以及新型量子現象的探索具有重要意義。

哈維爾·羅薩倫·薩米恩托是巴塞隆納大學量子物理與天體物理系的預科研究員。在完成理論物理學學士學位和數學輔修學位（巴塞隆納大學，2021年）後，他於2022年在巴塞隆納大學獲得量子科學與技術的碩士學位。自2023年以來，他正在進行核物理的博士研究，利用人工智慧領域的最新工具進行核結構計算。

阿圖爾·波爾斯·馬爾蒂（1952-2020）是巴塞隆納大學的物理學教授。他是一位領先的量子多體物理學家，在核物理、量子液體和超冷氣體等多個領域的理論理解上做出了重要貢獻。波爾斯教授是200多篇經過同行評審的出版物的作者，並指導了10名博士生。他的職業生涯始於巴塞隆納大學，隨後在圖賓根大學進行博士後研究，並在格拉納達大學任職。回到巴塞隆納後，他幫助創建了一個活躍的量子多體物理研究社群，該社群目前非常活躍。