Hameka F. Hendrik. Quantum Mechanics: A Conceptual Approach

John Wiley & Sons, Inc, 2004. — 194 p. — ISBN: 0-471-64965-1.The Discovery of Quantum MechanicsPlanck and Quantization
Bohr and the Hydrogen Atom
Matrix Mechanics
The Uncertainty Relations
Wave Mechanics
The Final Touches of Quantum Mechanics
Concluding Remarks
The Mathematics of Quantum MechanicsDifferential Equations
Kummer’s Function
Matrices
Permutations
Determinants
Properties of Determinants
Linear Equations and Eigenvalues
IX Problems
Classical MechanicsVectors and Vector Fields
Hamiltonian Mechanics
The Classical Harmonic Oscillator
Angular Momentum
Polar Coordinates
Problems
Wave Mechanics of a Free ParticleThe Mathematics of Plane Waves
The Schrödinger Equation of a Free Particle
The Interpretation of the Wave Function
Wave Packets
Concluding Remarks
Problems
The Schrödinger EquationOperators
The Particle in a Box
Concluding Remarks
Problems
ApplicationsA Particle in a Finite Box
Tunneling
The Harmonic Oscillator
Problems
Angular MomentumCommuting Operators
Commutation Relations of the Angular Momentum
The Rigid Rotor
Eigenfunctions of the Angular Momentum
Concluding Remarks
Problems
The Hydrogen AtomSolving the Schrödinger Equation
Deriving the Energy Eigenvalues, 101
The Behavior of the Eigenfunctions, 103
Problems, 106
Approximate MethodsThe Variational Principle
Applications of the Variational Principle
Perturbation Theory for a Nondegenerate State
The Stark Effect of the Hydrogen Atom
Perturbation Theory for Degenerate States
Concluding Remarks
Problems
The Helium AtomExperimental Developments
Pauli’s Exclusion Principle
The Discovery of the Electron Spin
The Mathematical Description of the Electron Spin
The Exclusion Principle Revisited
Two-Electron Systems
The Helium Atom
The Helium Atom Orbitals
Concluding Remarks
Problems
Atomic StructureAtomic and Molecular Wave Function
The Hartree-Fock Method
Slater Orbitals
Multiplet Theory
Concluding Remarks
Problems
Molecular StructureThe Born-Oppenheimer Approximation
Nuclear Motion of Diatomic Molecules
The Hydrogen Molecular Ion
The Hydrogen Molecule
The Chemical Bond
The Structures of Some Simple Polyatomic Molecules
The Hückel Molecular Orbital Method
Problems