Introduction to the quantum world of atoms and molecules

  • 作者: Dahl, Jens Peder.
  • 其他作者: Amstrup, Bjarne.
  • 出版: Singapore ;River Edge, NJ : World Scientific ©2001.
  • 稽核項: 1 online resource (xiii, 460 pages) :illustrations.
  • 標題: Molécules. , Théorie quantique. , Electronic books. , Quantum theory. , PhysicsQuantum Theory. , Atoms. , SCIENCE , Quantum Theory , Molecules. , SCIENCE Physics -- Quantum Theory. , Atomes.
  • ISBN: 9812386491 , 9789812386496
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  • 附註: Solutions manual by Jens P. Dahl and Bjarne Amstrup. Includes bibliographical references (pages 446-449) and index. Intro; Contents; Preface; 1 The Rise of Atomic Theory; 1.1 Early Atomic Theories; 1.2 The Chemical Atom; 1.3 The Kinetic Molecule; 1.4 The Spectroscopic Atom; 1.5 Antiatomism; 1.6 The Discovery of the Electron. The Planetary Atom; 1.7 The Constituents of Atoms and Molecules. The Modern View; 1.8 External Interactions. Photons; 2 The Birth of Quantum Mechanics; 2.1 Black-Body Radiation and Planck's Discovery; 2.2 Photons and the Photoelectric Effect; 2.3 The Photon is a Relativistic Particle; 2.4 The Heat-Capacity Problem; 2.5 Bohr's Theory of the Hydrogen Atom; 2.6 De Broglie Waves 3 Wave Mechanics3.1 The Time-Dependent Schrodinger Equation; 3.2 The Time-Independent Schrodinger Equation; 3.3 Schrodinger Operators; 3.4 The Statistical Interpretation; 4 Particle in a Box; 4.1 Introduction; 4.2 The One-Dimensional Box; 4.3 Orthogonality of Wavefunctions; 4.4 Number of Nodes Versus Energy; 4.5 Inversion Symmetry; 4.6 The Three-Dimensional Box; 4.7 The Concept of Degeneracy; 4.8 The Free-Electron Model; 4.9 Non-Stationary States; 5 Quantum-Mechanical Operators; 5.1 The Bra-Ket Notation; 5.2 Linear Operators. The Commutator; 5.3 Hermitian Operators. Hermitian Conjugation 5.4 Some Properties of Hermitian Operators5.5 Expectation Values and Uncertainties; 5.6 The Particle in a Box Revisited; 5.7 Commuting Hermitian Operators; 5.8 The General Uncertainty Principle; 5.9 Quantum Theory and Measurements; 5.10 Matrix Algebra; 6 The Free Particle; 6.1 The Stationary States of the Free Particle; 6.2 Non-Stationary States of the Free Particle; 6.3 The Gaussian Wave Packet; 6.4 From One to Three Dimensions; 7 The Harmonic Oscillator; 7.1 Definitions; 7.2 The Schrodinger Equation for the Harmonic Oscillator; 7.3 Solving the Schrodinger Equation; 7.4 The Wavefunctions 7.5 The Algebraic Method8 The Central Field Problem; 8.1 The Reduced Mass of a Two-Body System; 8.2 Spherical Polar Coordinates; 8.3 Spherical Harmonics; 8.4 The Radial Function P(r); 9 The Hydrogen Atom; 9.1 The Effective Potential. General Notation; 9.2 The Radial Equation for the Hydrogen-Like Atom; 9.3 The Normalized Radial Functions; 9.4 Radial Probability Densities; 9.5 The Complete Wavefunctions; 10 The Spinning Electron; 10.1 General Angular Momentum Theory; 10.2 Spin, Spin Functions and Spin-Orbitals; 10.3 Properties of the Spin One-Half Operators 10.4 The One-Electron Atom in External Fields10.5 The Zeeman Effect; 10.6 The Pauli Equation; 10.7 Angular-Momentum Theory and Rotations; 11 The Periodic Table by Electron Counting; 11.1 The Many-Electron Atom; 11.2 Neglect of Electron-Electron Repulsion; 11.3 The Aufbau Principle; 11.4 Exchange Degeneracy; 11.5 Pauli's Exclusion Principle. Slater Determinants; 11.6 Including Electron-Electron Repulsion; 11.7 Slater Type Orbitals; 12 The Variational Method; 12.1 Introduction; 12.2 Variational Principles; 12.3 The Time-Independent Schrodinger Equation; 12.4 The Variational Method
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