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Mathematical Structures of Quantum Mechanics - Hardcover

 
9789814366588: Mathematical Structures of Quantum Mechanics
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THIS MARVELOUS BOOK IS AIMED AT STRENGTHENING THE MATHEMATICAL BACKGROUND AND SHARPENING THE MATHEMATICAL TOOLS OF STUDENTS WITHOUT RIGOROUS TRAINING BEFORE TAKING THE QUANTUM MECHANICS COURSE. THE ABSTRACT CONSTRUCTION OF QUANTUM POSTULATES IN THE FRAMEWORK OF HILBERT SPACE AND HERMITIAN OPERATORS ARE REALIZED BY Q-REPRESENTATION IN THE FORMULATION TO DEMONSTRATE THE CONVENTIONAL APPROACH TO QUANTUM THEORY.SYMMETRY PROPERTY IS EMPHASIZED AND EXTENSIVELY EXPLORED IN THIS BOOK BOTH IN CONTINUOUS TRANSFORMATIONS AS WELL AS IN THE DISCRETE ONES. THE SPACE-TIME STRUCTURE IS DISCUSSED IN DEPTH AND DIRAC EQUATION IS FORMULATED BY SYMMETRY CONSIDERATION OF LORENTZ GROUP.

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Críticas:
The book is written in a distinct pedagogical style. Overall, the subject matter is presented in a logical way that focuses on the important topics without the reader feeling overwhelmed by complicated and abstract proofs. --Contemporary Physics
Reseña del editor:
This marvelous book is aimed at strengthening the mathematical background and sharpening the mathematical tools of students without rigorous training before taking the quantum mechanics course. The abstract construction of quantum postulates in the framework of Hilbert space and Hermitian operators are realized by q-representation in the formulation to demonstrate the conventional approach to quantum theory.Symmetry property is emphasized and extensively explored in this book both in continuous transformations as well as in the discrete ones. The space-time structure is discussed in depth and Dirac equation is formulated by symmetry consideration of Lorentz group.

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