Introduction to section II – Quantum Mechanics

Tai Kai Ng

PART I 1. Introduction 2. Lagrangian Formulation of Classical Mechanics and Field Theory 3. Quantization of Classical Field Theory I 4. Quantization of Classical Field Theory II 5. Berry Phase and Gauge Theory 6. Introduction to Perturbation Theory PART II 7. Concept of Effective Field Theory, Phases, and Phase Transition 8. Non-Linear Effects and Topology in Quantum Field Theory 9. Simple Bose Liquids - Introduction to Superfluidity 10. Simple Fermi Liquids - Introduction to Fermi Liquid Theory 11. Introduction to BCS Theory (S-Wave Superconductors) 12. Introduction to Quantum Magnetism

Dennis Morris

V. Grecchi

This paper is a continuation of the previous one: "Quantum mechanics: some basic techniques for some basic models, I: The models".The main subject is the perturbation theory in quantum mechanics giving diverging perturbation series for the energy levels of the oscillators.Thus, a short historical introduction on the methods of the sum of diverging power series is given.

Sergey Siparov

Abstract The geometrical approach suggested earlier, makes it possible to investigate the regions both in mega-and micro worlds that cannot be accessed by the direct observation. This makes it possible not only to interpret the basic experiments of quantum mechanics in a new way but also to escape the paradoxes stemming from the wave function introduction. It also gives perspectives to adjust the quantum mechanics and the relativity theory.

Ibrahima Sakho