Preface
1 Ideas and principles
　Quantum world
　　Probability waves
　　Physical operators
　Noncommutative physics
　　Moment of momentum
　　Perturbation theory
　Factorization
　　Oscillator
　Quantum numbers
2 Physics of the electron
　Hydrogen atom
　　Bohr's formula
　　Matrix elements
　Dirac's equation
　　Relativistic invariance
　Spin one—half
　　Pauli's theory
　Elementary consequences
　　Useful definitions
　　Positrons
　Fine structure
　　Solution according to factorization
　Magnetic interaction
　　Landau levels
　　Anharmonicity
3 Theory of anharmonicity
　Model Hamiltonian
　Perturbation method
　　Inclusion of degenerate levels
　Polynomial formalism
　　Ensemble of anharmonic oscillators
　　General equations
　Physical interpretation
　　Rules for polynomials
　　Quantum functions
　Other anharmonic models
　　Morse potential
　　Generalized Morse problem
4 Quantum fields
　Creation and destruction operators
　Free scalar field
　Quantization of electromagnetic field
　　Fermi's ideology
　Electron—positron Dirac field
　Interaction picture
　Solution according to perturbation theory
　　Normal product
　Ultraviolet divergences
　　Regularization of interaction energy
5 Radiative corrections
　Renormalization of mass
　Anomalous magnetic moment of the electron
　On the history of radiative corrections
　　Bethe's formula
　Electromagnetic shift of atomic levels
　Vacuum polarization
　　Renormalization of charge
　Dirac's ideas and quantum field theory
Bibliography