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Index
Cover Half Title Title Page Copyright Page Dedication Page Table of Contents Preface PRELIMINARIES
P.1. Quantum Conditions
Example P.1. The Planck quantum hypothesis Example P.2. The quantization rule for oscillatory motion Example P.3. The quantization rule for translational motion Example P.4. The quantization rule for elliptical motion Solved problems
P.2. The Particle Nature of Waves
Example P.5. Inelastic collision of a photon with a free electron Example P.6. Elastic collision of a photon with a free electron Example P.7. Motion of waves and particles Solved problems
P.3. The Wave Nature of Particles
Example P.8. The wave representation of an atomic electron Example P.9. Equation of the de Broglie wave propagation Example P.10. Phase velocity of the de Broglie wave Solved problems
Chapter 1 WAVE FUNCTIONS AND THE FIRST POSTULATE
1.1. Wave Packet Representation of a Particle
Example 1.1. Wave packets Example 1.2. Statistical interpretation of position Solved problems
1.2. The Uncertainty Principle
Example 1.3. The Heisenberg microscope Solved problems
1.3. The Wave Function Space
Example 1.4. The Dirac 5-function Example 1.5. Vector spaces Solved problems
1.4. The First Postulate
Example 1.6. Two-slit experiment with particles Example 1.7. The Dirac notation Solved problems
Chapter 2 OPERATORS AND THE SECOND POSTULATE
2.1. The Second Postulate
Example 2.1. Angular momentum in spherical polar coordinates Example 2.2. The Hamiltonian in a central force field Solved problems
2.2. The Momentum Representation
Example 2.3. Momentum representation of oscillatory motion Solved problems
2.3. Linear Operators
Example 2.4. Integral representation of operators Example 2.5. The rule of symmetrization in xi. and pi Solved problems
2.4. Hermitian Operators
Example 2.6. Anti-Hermitian operators Example 2.7. Unitary operators Solved problems
Chapter 3 EIGENSTATES AND THE THIRD POSTULATE
3.1. The Eigenvalue Problem
Example 3.1. Degeneracy Example 3.2. The eigenvalue problem for momentum Example 3.3. The eigenvalue problem for position Solved problems
3.2. The Third Postulate
Example 3.4. The projection operator Solved problems
3.3. The Matrix Eigenvalue Problem
Example 3.5. Diagonalization of a matrix Solved problems
3.4. Matrix xepresentations
Solved problems
Chapter 4 COMMUTATION RELATIONS AND THE FOURTH POSTULATE
4.1. Commutator Algebra
Example 4.1. Functions of non-commuting operators Solved problems
4.2. The Fourth Postulate
Example 4.2. The Poisson brackets Example 4.3. Commutation relations for angular momentum Example 4.4. Unitary transformations of physical observables Solved problems
4.3. Compatibility between Physical Observables
Example 4.5. Removal of degeneracy Example 4.6. Minimum uncertainty states Solved problems
Chapter 5 TEMPORAL EVOLUTION AND THE FIFTH POSTULATE
5.1. The Heisenberg Description
Example 5.1. Temporal evolution of position and momentum Solved problems
5.2. The Fifth Postulate
Example 5.2. The continuity equation for probability Example 5.3. The classical limit of the time-dependent Schrödinger equation Solved problems
5.3. The Equivalence between the Schrodinger and Heisenberg Descriptions
Example 5.4. The energy-time uncertainty relation Solved problems
5.4. The Schrödinger Equation for Stationary States
Example 5.5. The classical limit of the time-independent Schrödinger equation Example 5.6. The energy representation of oscillatory motion Solved problems
Chapter 6 ONE-DIMENSIONAL ΜΟHΟΝ
6.1. Energy Eigenstates in One Dimension
Example 6.1. Motion in a constant potential energy Example 6.2. The WKB approximation Solved problems
6.2. The Energy Spectrum for Discontinuous Potentials
Example 6.3. Bound states in the square well potential energy Example 6.4. The tunnel effect Example 6.5. Energy bands in a one-dimensional array Solved problems
6.3. The Linear Harmonic Motion
Example 6.6. The Hermite polynomials Example 6.7. The harmonic oscillator in the Heisenberg description Solved problems
Chapter 7 ELECTRON MOTION IN THE ATOM
7.1. Rotational Motion for a Single Particle
Example 7.1. Legendre polynomials Solved problems
7.2. Radial Motion in Central Force Field
Example 7.2. Confluent hypergeometric functions Example 7.3. Radial motion of a free particle Solved problems
7.3. One-Electron Atoms
Solved problems
7.4. The Magnetic Moment of the Electron
Example 7.4. Classical motion in electric and magnetic fields Example 7.5. One-electron atoms in a uniform magnetic field Solved problems
Chapter 8 ANGULAR MOMENTUM
8.1. The Matrix xigenvalue Problem for Angular Momentum
Example 8.1. Rotation properties of vector observables Example 8.2. Spherical harmonic eigenstates of angular momentum Example 8.3. Matrix representation of orbital angular momentum Solved problems
8.2. Electron Spin
Solved problems
8.3. Addition of Angular Momenta
Example 8.4. Representation of angular momenta for l = 1 and Example 8.5. The vector model of angular momentum Solved problems
8.4. Spin Magnetic Moment
Example 8.6. Spin-orbit interaction Solved problems
Chapter 9 APPROXIMATE METHODS
9.1. Stationary State Perturbation Theory
Example 9.1. The anharmonic oscillator Example 9.2. The Dalgarno perturbation method Example 9.3. Splitting of a twofold degenerate state Solved problems
9.2. The Variational Method
Example 9.4. Variational calculation of the ground state of hydrogen Example 9.5. Variational calculation of the first excited state of hydrogen Solved problems
9.3. Time-Dependent Perturbation Theory
Example 9.6. The Fermi golden rule Solved problems
Chapter 10 MANY-PARTICLE SYSTEMS
10.1. The Pauli Exclusion Principle
Example 10.1. The principle of indistinguishability Example 10.2. Wave functions for a two-particle system Solved problems
10.2. The Helium Atom
Example 10.3. Variational calculation of the ground state of helium Solved problems
10.3. Multielectron Atoms
Example 10.4. The Hartree-Fock approximation Example 10.5. Electron configuration of the low Z atoms Example 10.6. The jj coupling interaction Solved problems
10.4. The ehele Model of the Nucleus
Example 10.7. Magnetic hyperfine interactions Solved problems
Chapter 11 ATOMIC RADIATION
11.1. Radiative Transitions
Example 11.1. Selection rules for electric dipole transitions Example 11.2. Polarization and intensity of atomic radiation Solved problems
11.2. Spontaneous Emission
Example 11.3. Amplification of radiation Solved problems
11.3. Magnetic Resonance
Example 11.4. Electron resonance transitions in hydrogen Solved problems
Chapter 12 NUCLEAR RADIATION
12.1. Radioactive Decay Law
Solved problems
12.2. Alpha Decay
Solved problems
12.3. Beta Decay
Solved problems
12.4. Gamma Radiation
Example 12.1. Nuclear gamma resonance
Solved problems
Further Reading Index
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