Principles of Quantum Mechanics

Author: Wang Zhengxing
Publisher:
Publish Date: 2003-05-01
Features: This book primarily discusses the fundamental principles of quantum mechanics. Chapter 1 elaborates on the basic principles of quantum mechanics from a physical perspective, focusing on the connection between mathematical structures and physical principles, as well as the link between physical principles and economic facts. It treats the uncertainty principle as a fundamental physical principle, emphasizing the importance of the measurement of observables and the concept of uncertainty in quantum mechanics. Chapter 2 presents the representation theory, providing the generalized coordinate representation and the Pauli-Podolsky quantization rules. Chapter 3 discusses basic observables and symmetry, presenting the proof of the Pauli theorem that time cannot be treated as an operator. Chapter 4 covers various commonly used dynamical models, including macroscopic models and non-Hermitian Hamilton operators, which are rarely found in general quantum mechanics textbooks. Chapter 5 continues from Chapter 4 by discussing a relativistic dynamical model, starting with the massless Weyl equation and introducing the Dirac equation in a more physical manner. Given the importance of neutrinos in particle theory, the physical aspects of the Weyl equation are discussed in greater detail here. Chapter 6 presents the formal scattering theory without making non-relativistic approximations, making the results applicable to relativistic high-energy scattering processes. Chapter 7 covers second quantization theory, focusing on the relationship between second quantization and field quantization. Chapter 8 discusses field quantization, emphasizing that quantum field theory is the result of applying quantum mechanics to systems with infinite degrees of freedom. It also discusses the relationship between spin and statistics and the locality of fields based on the principle of micro-causality. This book is suitable for readers interested in the physical principles and theoretical structure of quantum mechanics and can be used as a textbook for graduate, senior undergraduate, or general undergraduate quantum mechanics courses.