Mathematical Physics 3
A.Y. 2022/2023
Learning objectives
The course aims at providing the basic notions of Hamiltonian, Statistical and Quantum mechanics.
Expected learning outcomes
Undersatnding of fundamentals notions of Hamiltonian, Statistical and Quantum mechanics and ability of solving simple problems on these topics.
Lesson period: Second semester
Assessment methods: Esame
Assessment result: voto verbalizzato in trentesimi
Single course
This course cannot be attended as a single course. Please check our list of single courses to find the ones available for enrolment.
Course syllabus and organization
Single session
Lesson period
Second semester
Course syllabus
Statistical mechanics
Microcanonical, canonical and Gran Caninical
The perfect gas and equivalence
Equipartition and specific heat. Monoatomic, Diatomic and solid specific heat
The theorem of existence of the thermodynamic limit
Phase transitions; mean field and van der Waals approximation
The Ising model in 1d; transfer matrix and multipoligon
The Ising model with infinite range and the saddle point method
Quantum particles; fermions and bosons
The Fermi gas; ground state and specific heat
The boson gas; specific gas of phonons, back body and Bose Einstein condensation
Quantum Mechanics (II part)
Angular momentum
Hydrogen atom
Helium atom
Perturbation theory
Gas di Bosoni. Calore specidico dei fononi; corpo nero; condensazione di Bose Einstein
Meccanica Quantistica (II parte)
Momento Angolare
Atomo di idrogeno
Atomo di Elio
Teoria perturbativa
Microcanonical, canonical and Gran Caninical
The perfect gas and equivalence
Equipartition and specific heat. Monoatomic, Diatomic and solid specific heat
The theorem of existence of the thermodynamic limit
Phase transitions; mean field and van der Waals approximation
The Ising model in 1d; transfer matrix and multipoligon
The Ising model with infinite range and the saddle point method
Quantum particles; fermions and bosons
The Fermi gas; ground state and specific heat
The boson gas; specific gas of phonons, back body and Bose Einstein condensation
Quantum Mechanics (II part)
Angular momentum
Hydrogen atom
Helium atom
Perturbation theory
Gas di Bosoni. Calore specidico dei fononi; corpo nero; condensazione di Bose Einstein
Meccanica Quantistica (II parte)
Momento Angolare
Atomo di idrogeno
Atomo di Elio
Teoria perturbativa
Prerequisites for admission
Mathematical Physics 1
Teaching methods
Blackboard lessons
Teaching Resources
Notes of lessons
Thomson Mathematical Statistical Physics
Thomson Mathematical Statistical Physics
Assessment methods and Criteria
Written and oral exam
MAT/07 - MATHEMATICAL PHYSICS - University credits: 9
Practicals: 48 hours
Lessons: 45 hours
Lessons: 45 hours
Professors:
Bambusi Dario Paolo, Mastropietro Vieri
Professor(s)