Relativistic many-body theory and statistical mechanics / Lawrence P. Horwitz and Rafael I. Arshansky.

Περιλαμβάνει βιβλιογραφικές παραπομπές.

1. Introduction -- 2. Many-body relativistic mechanics and gauge theory -- 2.1. The classical two-body problem -- 2.2. The classical N-body problem -- 2.3. Electromagnetism

3. Quantum mechanical two-body problem and consequences for many-body systems -- 3.1. The two-body bound states for scalar particles -- 3.2. The many-body problem and the RMS -- 3.3. The Stueckelberg string -- 3.4. The induced representation -- 3.5. Two-body partial wave analysis for scattering -- 3.6. Unitarity and the Levinson theorem -- 3.7. Cross sections

4. Scattering theory -- 4.1. Foundations of relativistic scattering theory -- 4.2. The S matrix -- 4.3. Interaction picture perturbation expansion -- 4.4. The Gell-Mann-Low theorem -- 4.5. Green's functions and the T matrix

5. Classical relativistic statistical mechanics -- 5.1. Relativistic Gibbs ensemble -- 5.2. Stability of the mass of an SHP particle -- 5.3. Canonical thermodynamics -- 5.4. Fluctuations in mass and energy -- 5.5. Grand canonical ensemble -- 5.6. Grand canonical thermodynamics -- 5.7. Conclusions

6. Quantum relativistic statistical mechanics, spin statistics and quantum field theory -- 6.1. Relativistic quantum statistical mechanics -- 6.2. The ideal free quantum gas -- 6.3. Relativistic high temperature Boson phase transition -- 6.4. Quantization of the electromagnetic field and black-body radiation -- 6.5. Manifestly covariant relativistic Boltzmann equation -- 6.6. Spin, statistics and correlations -- 7. Discussion and outlook.

This book explains the development of the SHP theory, reviews its basic concepts, and gives examples of its applications.