This advanced introductory textbook offers a comprehensive approach to non-relativistic Quantum Mechanics, focusing on exact methods and mathematical techniques often overlooked in standard textbooks. Bridging the gap between foundational concepts and advanced topics, this book introduces numerous methodssome of which are entirely newmaking it an invaluable resource for students and researchers alike.

Key topics include open quantum systems, entanglement, and supersymmetry, providing a modern perspective on the subject. With eight in-depth chapters, it covers:

1. Quantum Mechanics: A New Paradigm
2. Hilbert Space Formulation of Quantum Physics
3. Schrödinger Equation I
4. Symmetry, Angular Momentum, and Statistics
5. Schrödinger Equation II
6. Path Integrals
7. Quantum Entanglement
8. Methods, Techniques, and Approximation Schemes
   Perfect for those seeking a deeper understanding of quantum mechanics beyond the basics, this textbook combines theory with practical mathematical methods to present the full scope of the subject's complexity.

Presents a mathematically precise yet physically insightful approach to Quantum Mechanics Offers a unique approach to Quantum Mechanics, emphasizing Algebraic, Geometric, and Representation Theory Emphasizes exact methods in Quantum Mechanics, moving beyond traditional approximation schemes

Autorentext

Sergio Cecotti graduated with a degree in physics from the University of Pisa in 1979 and has worked at Harvard University, UCLA, the CERN in Geneva, and the ICTP in Trieste. He has taught physics at the University of Pisa, the International School for Advanced Studies of Trieste (SISSA), and now at BIMSA in Beijing. He is the author of the books: "Introduction to String Theory", Springer (2023), "Statistical Mechanics - A Concise Advanced Textbook", Springer (2024), and "Analytical Mechanics - A Concise Textbook", Springer (2024).

Inhalt

Quantum Mechanics A New Paradigm.- Hilbert Space Formulation of Quantum Physics.- Schrödinger Equation I.- Symmetry Angular Momentum Statistics.- Schrödinger Equation II.- Path Integrals.- Quantum Entanglement.- Methods Techniques Approximation Schemes.