Enrollment year
2016/2017
Academic discipline
FIS/02 (THEORETICAL PHYSICS, MATHEMATICAL MODELS AND METHODS)
Department
DEPARTMENT OF PHYSICS
Curriculum
Didattica e storia della fisica
Period
1st semester (02/10/2017 - 19/01/2018)
Lesson hours
48 lesson hours
Language
Italian or English upon request (English friendly course - http://fisica.unipv.it/dida/English-friendly-programme.pdf)
Prerequisites
Quantum Mechanics.
Learning outcomes
Learning of basic concepts and physical phenomena related to physics of many particle systems.
Course contents
Models with independent particles; second quantization for non-relativistic systems; observables in second quantization; description of a system with quasi-particle states; the transformation of Bogoliubov-Valatin; Wick’stheorem; Hartree-Fock method; BCS method; Green function as risolvent of an equation of mathematical physics; Green function for single particle; Lehmann’s representation and spectral density; linear response theory; computational methods, example of fermion and boson systems.
Teaching methods
The course is organised with classroom-taught lectures on the blackboard. During the lectures, the details necessary for the comprehension of the various theoretical topics are derived and explained. Homework assignments are complementary to the lectures and are focused to provide the tools for the application of the theoretical concepts and to improve the critical and personal comprehension. The assignments are discussed and corrected collectively.
Reccomended or required readings
S. Boffi: Da Heisenberg a Landau; un'introduzione alla fisica dei sistemi a molte particelle, Bibliopolis, Napoli, 2004.
A.L. Fetter, J.D. Walecka ``Quantum theory of many particle systems'',
McGraw-Hill, 1971; Dover 2002.
Assessment methods
The final exam consists in an oral test. The test is organised in two parts: 1- presentation of a topic
chosen by the student among the material discussed in the course, with a practical application to a physics case related to its program of study (condensed matter physics or physics of fundamental interactions); 2- open-ended question focused to test the critical comprehension and analysis of the topics.
Further information
The final exam consists in an oral test. The test is organised in two parts: 1- presentation of a topic
chosen by the student among the material discussed in the course, with a practical application to a physics case related to its program of study (condensed matter physics or physics of fundamental interactions); 2- open-ended question focused to test the critical comprehension and analysis of the topics.
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