Description
Book SynopsisThis 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.
Table of ContentsThe Postulates and Principles of Quantum Mechanics; Commutability and Compatibility of Quantum Observables; Non-Commuting Operators and Uncertainty Principle; Quantum Dynamics and Schrodinger Equation; Time Evolution Operator and Propagator; Symmetry, Transformation and Continuous Groups; Lie Groups and Lie Algebras; O(3) Group, SU(2) Group and Angular Momentum; Dynamical Symmetry and Hydrogen Atom; Lorentz Group and Group Representation; Chiral Transformation and Spinor Algebra; Gamma Matrix Algebra and Discrete Symmetry in Dirac Spinor System.
