First cycle
degree courses
Second cycle
degree courses
Single cycle
degree courses
School of Science
Course unit
SCP4065497, A.A. 2018/19

Information concerning the students who enrolled in A.Y. 2016/17

Information on the course unit
Degree course First cycle degree in
SC1158, Degree course structure A.Y. 2014/15, A.Y. 2018/19
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Number of ECTS credits allocated 14.0
Type of assessment Mark
Course unit English denomination PRINCIPLES OF THEORETICAL PHYSICS
Website of the academic structure
Department of reference Department of Physics and Astronomy
Mandatory attendance No
Language of instruction Italian
Single Course unit The Course unit can be attended under the option Single Course unit attendance
Optional Course unit The Course unit can be chosen as Optional Course unit

Other lecturers ATTILIO STELLA FIS/02

ECTS: details
Type Scientific-Disciplinary Sector Credits allocated
Core courses FIS/02 Theoretical Physics, Mathematical Models and Methods 14.0

Course unit organization
Period First semester
Year 3rd Year
Teaching method frontal

Type of hours Credits Teaching
Hours of
Individual study
Practice 5.0 40 85.0 No turn
Lecture 9.0 72 153.0 No turn

Start of activities 01/10/2018
End of activities 18/01/2019
Show course schedule 2019/20 Reg.2014 course timetable

Examination board
Board From To Members of the board
3 Istituzioni di Fisica Teorica 01/10/2018 30/11/2019 MARCHETTI PIERALBERTO (Presidente)
STELLA ATTILIO (Membro Effettivo)
2 Istituzioni di Fisica Teorica 01/10/2017 30/11/2018 FERUGLIO FERRUCCIO (Presidente)
STELLA ATTILIO (Membro Effettivo)

Prerequisites: Students should know phenomenological elementary aspects of quantum mechanics and they should possess a basic knowledge of Hilbert spaces and operators defined on them. Furthermore some knowledge of equilibrim thermodynamics and hamiltonian classical mechanics is required.
Target skills and knowledge: The aim of the course is to give the conceptual and formal basis of quantum mechanics and to propose some applications to elementary systems. Furthermore it introduces to equilibrium statistical mechanics based upon ensemble, both classical and quantum, with applications to non-interacting systems.
Examination methods: Written and oral examinations for the part concerning quantum mechanics, only wriiten examination for the part concerning statistical mechanics.
Assessment criteria: To evaluate the understanding of the theoretical concepts and to check the ability of solving exercises related to the topics of the course.
Course unit contents: QUANTUM MECHANICS
-The formalism of Quantum Mechanics and its physical interpretation: wave-functions, Hilbert spaces, basis, states; observables, self-adjoint operators; spectrum, eigenvalues and eigenvectors, spectral family; Dirac's formalism; causal time evolution for conservative systems, stone theorem; preparation of states and measures, von Neumann's projection postulate.
-General consequences of the postulates, the Heisenberg uncertainty principle, complete sets of compatible observables; composite systems.
-Solution of the Schroedinger equation for conservative systems: series expansion in energy eigenstates; wells and potential barriers in one-dimensional systems; the harmonic oscillator in 1d, creation and annihilation operators, spectrum and eigenfunctions of the Hamiltonian; free particle in 3d.
-Angular momenta: commutation relations, spectrum, orbital angular momenta and spherical harmonics, composition of angular momenta, spin.
-Particles in central potential: radial equation, quantum numbers; hydrogen atom, spectrum and eigenfunctions of the Hamiltonian.
-Identitical particles: symmetrization postulate and Pauli principle.
-Scattering theory
-Time-independent perturbation theory
-Brief mention to mixed states, EPR, the Bell inequalities and interpretative issues.
- Maxwell-Boltzmann distribution for the ideal gas, microstates and macrostastes.
-Classical statistical ensembles.
-Entropy, temperature, free energies, thermodynamic limit and extensivity, fluctuations, classical equipartition.
-Quantum states of fermions and bosons, density matrix, quantum ensembles, boson and fermion gas in the grand-canonical ensemble.
-Bose-Einstein condensation, properties of degenerate Fermi gas, classical limit of the quantum statistics.
Planned learning activities and teaching methods: Lectures of theory and exercices.
Textbooks (and optional supplementary readings)
  • Claude Cohen-Tannoudji, Bernard Dui, Frank Laloe, Quantum Mechanics, Vol I. --: 1992 Wiley Interscience, --. Cerca nel catalogo
  • Konishi, Kenichi; Paffuti, Giampiero, Meccanica quantistica: nuova introduzione. Pisa: Plus-Pisa university press, 2006. Cerca nel catalogo
  • Kerson Huang, Meccanica Statistica. --: Zanichelli, 1997. Cerca nel catalogo