Note: Cover -- Half Title -- Title Page -- Copyright Page -- Table of Contents -- PREFACE -- LEARNING AIDS FOR QUANTUM PHYSICS -- 1: Simple models of the atom -- 1-1 Introduction -- 1-2 The classical atom -- 1-3 The electrical structure of matter -- 1-4 The Thomson atom -- 1-5 Line spectra -- 1-6 Photons -- 1-7 The Rutherford-Bohr atom -- 1-8 Further predictions of the Bohr model -- 1-9 Direct evidence of discrete energy levels -- I-10 X-ray spectra -- 1-11 A note on x-ray spectroscopy -- 1-12 Concluding remarks -- EXERCISES -- 2: The wave properties of particles -- 2-1 De Broglie's hypothesis -- 2-2 De Broglie waves and particle velocities -- 2-3 Calculated magnitudes of De Broglie wavelengths -- 2-4 The Davisson-Germer experiments -- 2-5 More about the Davisson-G ermer experiments -- 2-6 Further manifestations of the wave properties electrons -- 2-7 Wave properties of neutral atoms and molecules -- 2-8 Wave properties of nuclear particles -- 2-9 The meaning of the wave-particle duality -- 2-10 The coexistence of wave and particle properties -- 2-11 A first discussion of quantum amplitudes -- EXERCISES -- 3: Wave-particle duality and bound states -- 3-1 Preliminary remarks -- 3-2 The approach to a particle-wave equation -- 3-3 The Schrodinger equation -- 3-4 Stationary states -- 3-5 Particle in a one-dimensional box -- 3-6 Unique energy without unique momentum -- 3-7 Interpretation of the quantum amplitudes for bound states -- 3-8 Particles in nonrigid boxes -- 3-9 Square well of finite depth -- 3-10 Normalization of the wave function -- 3-11 Qualitative plots of bound-state wave functions -- EXERCISES -- 4: Solutions of Schrödinger's equation in one dimension -- 4-1 Introduction -- 4-2 The square well -- 4-3 The harmonic oscillator -- 4-4 Vibrational energies of diatomic molecules -- 4-5 Computer solutions of the Schrödinger equation -- EXERCISES. , 5: Further applications of Schrödinger's equation -- 5-1 Introduction -- 5-2 The three-dimensional Schrödinger equation -- 5-3 Eigenfunctions and eigenvalues -- 5-4 Particle in a three-dimensional box -- 5-5 Spherically symmetric solutions for hydrogen-like systems -- 5-6 Normalization and probability densities -- 5-7 Expectation values -- 5-8 Computer solutions for spherically symmetric wave functions -- EXERCISES -- 6: Photons and quantum states -- 6-1 Introduction -- 6-2 States of linear polarization -- 6-3 Linearly polarized photons -- 6-4 Probability and the behavior of polarized photons -- 6-5 States of circular polarization -- 6-6 Orthogonality and completeness -- 6-7 Quantum states -- 6-8 Statistical and classical properties of light -- 6-9 Concluding remarks -- appendix: polarized light and its production -- 6A-1 The production of linearly polarized light -- 6A-2 The production of circularly polarized light -- Suggested experiments with linearly polarized light -- EXERCISES -- 7: Quantum amplitudes and state vectors -- 7-1 Introduction -- 7-2 The analyzer loop -- 7-3 Paradox of the recombined beams -- 7-4 Interference effect in general -- 7-5 Formalism of projection amplitudes -- 7-6 Properties of projection amplitudes -- 7-7 Projection amplitudes for states of polarization -- 7-8 The state vector -- 7-9 The state vector and the Schrodinger wave function for bound states -- EXERCISES -- 8: The time dependence of quantum states -- 8-1 Introduction -- 8-2 Superposition of states -- 8-3 An example of motion in a box -- 8-4 Packet states in a square-well potential -- 8-5 The position-momentum uncertainty relation -- 8-6 The uncertainty principle and ground-state energies -- 8-7 Free-particle packet states -- 8-8 Packet states for moving particles -- 8-9 Examples of moving packet states -- 8-10 The energy-time uncertainty relation. , 8-11 Examples of the energy-time uncertainty relation -- 8-12 The shape and width of energy levels -- EXERCISES -- 9: Particle scattering and barrier penetration -- 9-1 Scattering processes in terms of wave packets -- 9-2 Time-independent approach to phenomena -- 9-3 Probability density and probability current -- 9-4 Scattering by a one-dimensional well -- 9-5 Barrier penetration: tunneling -- 9-6 Probability current and barrier penetration problems -- 9-7 An approximation for barrier penetration calculations -- 9-8 Field emission of electrons -- 9-9 Spherically symmetric probability currents -- 9-10 Quantitative theory of alpha decay -- 9-11 Scattering of wave packets -- EXERCISES -- 10: Angular momentum -- 10-1 Introduction -- 10-2 Stern-Gerlach experiment: theory -- 10-3 Stern-Gerlach experiment: descriptive -- 10-4 Magnitudes of atomic dipole moments -- 10-5 Orbital angular momentum operators -- 10-6 Eigenvalues of Lz -- 10-7 Simultaneous eigenvalues -- 10-8 Quantum states of a two-dimensional harmonic oscillator -- EXERCISES -- 11: Angular momentum of atomic systems -- 11-1 Introduction -- 11-2 Total orbital angular momentum in central fields -- 11-3 Rotational states of molecules -- 11-4 Spin angular momentum -- 11-5 Spin orbit coupling energy -- 11-6 Formalism for total angular momentum -- APPENDIX: THE SCHRÖDINGER EQUATION IN SPHERICAL COORDINATES -- EXERCISES -- 12: Quantum states of three-dimensional systems -- 12-1 Introduction -- 12-2 The Coulomb model -- 12-3 General features of the radial wave functions for hydrogen -- 12-4 Exact radial wave functions for hydrogen -- 12-5 Complete Coulomb wave functions -- 12-6 Classification of energy eigenstates in hydrogen -- 12-7 Spectroscopic notation -- 12-8 Fine structure of hydrogen energy levels -- 12-9 Isotopic fine structure: heavy hydrogen -- 12-10 Other hydrogen-like systems -- EXERCISES. , 13: Identical particles and atomic structure -- 13-1 Introduction -- 13-2 Schrôdinger's equation for two noninteracting particles -- 13-3 The consequences of identity -- 13-4 Spin states for two particles -- 13-5 Exchange symmetry and the Pauli principle -- 13-6 When does symmetry or antisymmetry matter? -- 13-7 Measurability of the symmetry character -- 13-8 States of the helium atom -- 13-9 Many-electron atoms -- 13-10 General structure of a massive atom -- EXERCISES -- 14: Radiation by atoms -- 14-1 Introduction -- 14-2 The classical Hertzian dipole -- 14-3 Radiation from an arbitrary charge distribution -- 14-4 Radiating dipoles according to wave mechanics -- 14-5 Radiation rates and atomic lifetimes -- 14-6 Selection rules and radiation patterns -- 14-7 Systematics of line spectra -- 14-8 Angular momentum of photons -- 14-9 Magnetic dipole radiation and galactic hydrogen -- 14-10 Concluding remarks -- EXERCISES -- BIBLIOGRAPHY -- ANSWERS TO EXERCISES -- SELECTED PHYSICAL CONSTANTSAND CONVERSION FACTORS -- INDEX.

Note: Cover -- Half Title -- Title Page -- Copyright Page -- Contents -- Preface -- 1 Periodic motions -- Sinusoidal vibrations -- The description of simple harmonic motion -- The rotating-vector representation -- Rotating vectors and complex numbers -- Introducing the complex exponential -- Using the complex exponential -- PROBLEMS -- 2 The superposition of periodic motions -- Superposed vibrations in one dimension -- Two superposed vibrations of equal frequency -- Superposed vibrations of different frequency -- beats -- Many superposed vibrations of the same frequency -- Combination of two vibrations at right angles -- Perpendicular motions with equal frequencies -- Perpendicular motions with different frequencies -- Lissajous figures -- Comparison of parallel and perpendicular superposition -- PROBLEMS -- 3 The free vibrations of physical systems -- The basic mass-spring problem -- Solving the harmonic oscillator equation using complex exponentials -- Elasticity and Young's modulus -- Floating objects -- Pendulums -- Water in a U-tube -- Torsional oscillations -- The spring of air -- Oscillations involving massive springs -- The decay of free vibrations -- The effects of very large damping -- PROBLEMS -- 4 Forced vibrations and resonance -- Undamped oscillator with harmonic forcing -- The complex exponential method for forced oscillations -- Forced oscillations with damping -- Effect of varying the resistive term -- Transient phenomena -- The power absorbed by a driven oscillator -- Examples of resonance -- Electrical resonance -- Optical resonance -- Nuclear resonance -- Nuclear magnetic resonance -- Anharmonic oscillators -- PROBLEMS -- 5 Coupled oscillators and normal modes -- Two coupled pendulums -- Symmetry considerations -- The superposition of the normal modes -- Other examples of coupled oscillators. , Normal frequencies: general analytical approach -- Forced vibration and resonance for two coupled oscillators -- Many coupled oscillators -- N coupled oscillators -- Finding the normal modes for N coupled oscillators -- Properties of the normal modes for N coupled oscillators -- Longitudinal oscillations -- N very large -- Normal modes of a crystal lattice -- PROBLEMS -- 6 Normal modes of continuous systems. Fourier analysis -- The free vibrations of stretched strings -- The superposition of modes on a string -- Forced harmonic vibration of a stretched string -- Longitudinal vibrations of a rod -- The vibrations of air columns -- The elasticity of a gas -- A complete spectrum of normal modes -- Normal modes of a two-dimensional system -- Normal modes of a three-dimensional system -- Fourier analysis -- Fourier analysis in action -- Normal modes and orthogonal functions -- PROBLEMS -- 7 Progressive waves -- What is a wave? -- Normal modes and traveling waves -- Progressive waves in one direction -- Wave speeds in specific media -- Superposition -- Wave pulses -- Motion of wave pulses of constant shape -- Superposition of wave pulses -- Dispersion -- phase and group velocities -- The phenomenon of cut-off -- The energy in a mechanical wave -- The transport of energy by a wave -- Momentum flow and mechanical radiation pressure -- Waves in two and three dimensions -- PROBLEMS -- 8 Boundary effects and interference -- Reflection of wave pulses -- Impedances: nonreflecting terminations -- Longitudinal versus transverse waves: polarization -- Waves in two dimensions -- The Huygens-Fresnel principle -- Reflection and refraction of plane waves -- Doppler effect and related phenomena -- Double-slit interference -- Multiple-slit interference (diffraction grating) -- Diffraction by a single slit -- Interference patterns of real slit systems -- PROBLEMS. , A short bibliography -- Answers to problems -- Index.