Introduction to Quantum Mechanics

Course for PhD students at G.S.S.I. of L'Aquila

Approximately 16 hours, starting from Tuesday 29 nov., 2016

Aim of the course is to provide a short introduction to Quantum Mechanics.

I will briefly analyze the basic physical motivations, introduce the mathematical structure of the theory and discuss some concrete examples and applications. Many exercises will be proposed.

For a more detailed analysis of the theory and of its applications I refer to the references suggested below.

References

- Historical introduction:

D. Ter Haar, The Old Quantum Theory

G. Ludwig, Wave Mechanics

B.L. van der Waerden, Sources of Quantum Mechanics

- Physics textbooks:

B. Thaller, Visual Quantum Mechanics

J.J. Sakurai, Modern Quantum Mechanics

C.J. Isham, Lectures on Quantum Theory

A. Galindo, P. Pascual, Quantum Mechanics, vol. I, II

- Mathematical textbooks:

G. Teschl, Mathematical Methods in Quantum Mechanics

S.J. Gustafson, I.M. Sigal, Mathematical Concepts of Quantum Mechanics

L.D. Faddeev, O.A. Yakubovskii, Lectures on Quantum Mechanics for Mathematics Students

G. Dell'Antonio, Lectures on the Mathematics of Quantum Mechanics

A. Teta, notes in italian available here, for the english version of some chapters see below in this page

- Mathematical methods for Quantum Mechanics:

M. Reed, B. Simon, Methods of Modern Mathematical Physics, vol. I, II, III, IV

T. Kato, Perturbation Theory for Linear Operators

K. Schmudgen, Unbounded Self-adjoint Operators on Hilbert Space

P. Blanchard, E. Bruning, Mathematical Methods in Physics