This book aims to develop a general framework of condensed matter theory in phase space, instead of configuration space, of a dynamical system. Different from Euclidean real space, phase space is embedded with symplectic geometry in classical mechanics or noncommutative geometry in quantum mechanics. Arbitrary lattice Hamiltonians and crystalline many-body states in phase space can be created with the Floquet approach. The book covers topics ranging from dynamical systems, Floquet theory, topological physics to quantum many-body physics and time crystals.
The book fills in the blanks in the study of dynamical systems by considering many-body physics in the phase space. The topic of phase space crystals is a new research field developed in recent years. This is the first book to provide a systematic summary of present work on this topic. Targeted at researchers, academics and graduate students in physics, it is a good starting point for people who are interested in this new research field.
The book fills in the blanks in the study of dynamical systems by considering many-body physics in the phase space. The topic of phase space crystals is a new research field developed in recent years. This is the first book to provide a systematic summary of present work on this topic. Targeted at researchers, academics and graduate students in physics, it is a good starting point for people who are interested in this new research field.
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