This molecular dynamics textbook takes the reader from classical mechanics to quantum mechanics and vice versa, and from few-body systems to many-body systems. It is self-contained, comprehensive, and builds the theory of molecular dynamics from basic principles to applications, allowing the subject to be appreciated by readers from physics, chemistry, and biology backgrounds while maintaining mathematical rigor. The book is enhanced with illustrations, problems and solutions, and suggested reading, making it ideal for undergraduate and graduate courses or self-study. With coverage of recent developments, the book is essential reading for students who explore and characterize phenomena at the atomic level. It is a useful reference for researchers in physics and chemistry, and can act as an entry point for researchers in nanoscience, materials engineering, genetics, and related fields who are seeking a deeper understanding of nature.
Part I - BASICS OF CLASSICAL MECHANICS.
Chapter 1: Principles of classical dynamics.
Chapter 2: Foundations of Newtonian dynamics.
Chapter 3: Many-particle systems.
Chapter 4: Mechanical descriptors.
Chapter 5: Rigid body.
Chapter 6: Analytical Mechanics.- Part 2 - BASICS OF QUANTUM MECHANICS.
Chapter 7: Wave-particle duality of matter.
Chapter 8: Quantization of the energy.
Chapter 9: Quantization of the angular momentum.
Chapter 10: Postulates of quantum mechanics.- Part 3 - FIRST-PRINCIPLES MOLECULAR DYNAMICS.
Chapter 11: Dynamics of electrons and nuclei.
Chapter 12: Classical limit of the nuclear motion.- Part 4 - CLASSICAL MOLECULAR DYNAMICS.
Chapter 13: Classical molecular dynamics.
Chapter 14: Extended systems.- Part 5: TIME EVOLUTION OPERATORS.
Chapter 15: Integrating the equations of motion.
Ruben Santamaria is originally from California, United States. He studied physics at UNAM and earned his doctorate degree in Molecular Physics from the University of Oxford. He did postdoctoral studies in Molecular Biophysics at Northwestern University in Chicago. He has vast experience as a researcher and works at the Physics Institute of the University of Mexico (UNAM). He has given talks at various national and international institutions and taught courses in his specialty. His research focuses mainly on developing methodologies in atomic and molecular physics, and proposing new processes with applications to nanostructured systems and molecular biophysics, using the latest technological tools in computing and artificial intelligence.
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