量子力学
1998-8
世界图书出版公司北京公司
S.M.McMurry
374
Quantum mechanics is a core subject in any undergraduate physics course, since it is the basis for all modern descriptions of the structure and behaviour of matter. This book provides an introduction to the theoretical foundations of quantum mechanics for students of experimental physics. It is intended as an intermediate text for those who have already completed an introductory course in quantum physics. A resume and discussion of the phenomena which led to the development of quantum mechanics is given in the first chapter, and the mathematical structure of the theory is developed gradually throughout the text, along with the necessary mathematical tools. Although a mathematical presentation is essential, the emphasis is on understanding the need for the formatlism and the nature of the calculations involved rather than on technical mathematical skills.
Preface. List of symbols and physical constants Chapter 1 A review of the origins of quantum theory 1.1 ... and there was light! 1.2 The quantization of energy 1.3 Particle/wave duality 1.4 The two-slit diffraction experiment 1.5 Uncertainty and indeterminacy 1.6 Non-classical phenomena References Problems Chapter 2 The state of a quantum system 2.1 The classical description of the state of a particle 2.2 The wave function for a single particle 2.3 Measurements on a quantum system 2.4 The wave function for a free particle 2.5 Free particle beams and scattering experiments References Problems Chapter 3 The representation of dynamical variables 3.1 Eigenvalue equations3.2 Energy eigenstates3.3 Bound states of a particle in a one-dimensional square potential well3.4 Scattering by a one-dimensional potential step3.5 Scattering by a one-dimensional square well References Problems Chapter 4 More about dynamical variables4.1 Compatible and incompatible variables4.2 The angular momentum operators4.3 The radial momentum operator4.4 The parity operator4.5 Orbital angular momentum eigenfunctions and eigen alues4.6 Angular distributions in orbital angular momentum eigenstates4.7 Rotational energy in orbital angular momentum eigenstates References Problems Chapter 55.1 The energy spectrum of a one-dimensional simple harmonic oscillator5.2 The energy eigenfunctions of the one-dimensional simple harmonic oscillator5.3 Vibrational spectra of molecules and nuclei5.4 Thermal oscillation, phonons and photons References Problems Chapter 6 ladder operators: angular momentumChapter 7 Symmetry and the solution of the schrodinger equationChapter 8 Magnetic effects in quantum systemsChapter 9 The superposition principleChapter 10 The matrix formulation of quantum mechanicsChapter 11 Approximate methods for solving the Schrodinger equationChapter 12 Time-dependent problemsChapter 13 many-particle systemsChapter 14 Coherence in quantum mechanicsAppendix A The two-body problem in classical mechanicsAppendix B Analytical solutions of eigenvalue equationsAppendix C The computer demonstrationsIndex
Quantum mechanics is a core subject in any undergraduate physics course, since it is the basis for all modern descriptions of the structure and behaviour of matter. This book provides an introduction to the theoretical foundations of quantum mechanics for students of experimental physics. It is intended as an intermediate text for those who have already completed an introductory course in quantum physics. A resume and discussion of the phenomena which led to the development of quantum mechanics is given in the first chapter, and the mathematical structure of the theory is developed gradually throughout the text, along with the necessary mathematical tools. Although a mathematical presentation is essential, the emphasis is on understanding the need for the formatlism and the nature of the calculations involved rather than on technical mathematical skills.