The quantum theory describing large assemblies of interacting particles in thermal equilibrium is a wonderful heritage of 20th-century physics and an educational cornerstone for researchers in condensed matter. Spectroscopic Probes of Quantum Matter explains fundamentals of the edifice in a synthetic and pedagogical style, before exposing the main calculation tools in-depth and the physical intuition that they provide. The theory has survived massive exposure to experimental testing over the years. In the last few decades, the spectroscopic probes, which reveal excitations of condensed-matter systems, have enormously progressed and nowadays, they deliver rich and accurate data sets. The second part of the book presents a few protocols by which the predictions of the quantum theory is subjected to experimental validation. Rather than attempting to review the numerous works published for each technique, the emphasis is placed on understanding the protocol, with just a few examples picked as illustrations. Based on a course given to graduate students, the text contains materials that may be useful to lecturers and researchers. The contents are organized such that the progression of those who don't need the details for learning is not obstructed by lengthy algebra, while those who need to go through the math are given all the necessary guidelines. A number of small computer codes are provided for those who, like the author, need to challenge their understanding further by converting the abstract formula into numbers and graphs.
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