cod. 18583

Academic year 2013/14
3° year of course - First semester
Academic discipline
Fisica teorica, modelli e metodi matematici (FIS/02)
Teorico e dei fondamenti della fisica
Type of training activity
78 hours
of face-to-face activities
9 credits
hub: PARMA
course unit
in - - -

Learning objectives

This course offers the elements of Quantum Mechanics at the basis of the Physics of Atoms, Molecules and Nuclei. The required mathematical methods are developed, including partial differential equations, functional analysis and numerical analysis (elements of).


Calculus, Classical Mechanics, elements of Electromagnetism and Waves

Course unit content

Wave properties of atomic particles, SCHROEDINGER Equation, simple examples in one dimension, three dimensional systems with spherical symmetry, Hydrogen atom, approximate methods for computing the spectrum, tunnel effect and potential scattering.

Full programme

Resumé of classical mechanics in the Hamiltonian formulation. Variational principles of Fermat and Maupertuis, analogy between geometrical optics and mechanics. Derivation of Schroedinger equation from the wave hypothesis of De Broglie and variational principles. Solution of Schroedinger equation for simple systems in one dimension and for central potentials. Hydrogen atom. Numerical approach for the calculation of the spectrum in up to 3 dimensions. Approximation methods: perturbation theory, Ritz variational method, WKB. The angular momentum in Quantum Mechanics. The role of symmetry. Tunnel effect and potential scattering (Born's integral equation and approximation).


Landau Lifshitz, Quantum Mechanics,
Dirac, Principles of Quantum Mechanics
Sakurai, Modern Quantum Mechanics

Teaching methods

Classroom lectures and problem solving

Assessment methods and criteria

Written and oral examination

Other information

The main emphasis is on wave mechanics, but some hints to Dirac's formulation and to Feynman's are provided.