Mario SALERNO | PHYSICS OF CONDENSED STATES
Mario SALERNO PHYSICS OF CONDENSED STATES
cod. 0522600006
PHYSICS OF CONDENSED STATES
| 0522600006 | |
| DIPARTIMENTO DI FISICA "E.R. CAIANIELLO" | |
| PHYSICS | |
| 2014/2015 |
| YEAR OF COURSE 2 | |
| YEAR OF DIDACTIC SYSTEM 2010 | |
| SECONDO SEMESTRE |
| SSD | CFU | HOURS | ACTIVITY | |
|---|---|---|---|---|
| FIS/03 | 6 | 48 | LESSONS |
| Objectives | |
|---|---|
| 1. KNOWLEDGE AND UNDERSTANDING: THE AIM IS TO PROVIDE THEORETICAL KNOWLEDGES OF THE PHYSICS OF CONDENSED MATTER, WITH SPECIAL REFERENCE TO THE MICROSCOPIC THEORY OF SUPERCONDUCTIVITY AND TO THE BOSE-EINSTEIN CONDENSATION. 2. APPLYING KNOWLEDGE AND UNDERSTANDING: THE APPLICATION OF KNOWLEDGE AND UNDERSTANDING WILL BE DEVELOPED THROUGH PROBLEM SOLVING ABILITIES ALSO IN NEW OR UNFAMILIAR ENVIRONMENTS. 3. MAKING JUDGEMENTS: THE AIM IS TO DEVELOP IN THE STUDENT THE ABILITY TO INTEGRATE KNOWLEDGE AND HANDLE COMPLEXITY, AND FORMULATE JUDGMENTS ALSO WITH INCOMPLETE DATA . 4. COMMUNICATION SKILLS: THE AIM IS TO DEVELOP IN THE STUDENT THE ABILITY TO COMMUNICATE CONCLUSIONS AND THE UNDERPINNING KNOWLEDGE TO SPECIALIST AND NON SPECIALIST AUDIENCES. 5. LEARNING SKILLS: STUDENTS SHOULD BE ABLE TO STUDY IN A MANNER THAT MAY BE LARGELY SELFDIRECTED OR AUTONOMOUS. |
| Prerequisites | |
|---|---|
| QUANTUM MECHANICS. CONDENSED MATTER PHYSICS. |
| Contents | |
|---|---|
| FORMALISM OF SECOND QUANTIZATION. CANONICAL QUANTIZATION OF CLASSIC FIELDS. BOSONIC AND FERMIONIC FIELDS. QUANTIZATION OF THE HARMONIC FILED. PHONONS. ELECTRON-HOLE INTERACTION. WANNIER EXCITONS. EXCITON WAVE FUNCTION AND ITS SPECTRUM. EXCITON CONDENSATION AND EXCITON MATTER. QUANTIZATION OF THE ELECTROMAGNETIC FIELD. ELECTRON-PHOTON INTERACTIONS. FRENKEL EXCITONS. ELECTRON-EXCITON. EXCITONIC OPERATORS AND COMMUTATION RULES. EXCITON POLARITONS. POLARIZATION WAVES IN POLAR CYSTALS. ELECTRON-PHONON INTERACTION. FROHLICH HAMILTONIAN FOR POLAR CRYSTALS AND FOR METALS. INTERACTION PICTURE AND PERTURBATION THEORY. FEYNMAN GRAPHS. ELECTRON-PHONON SCATTERING AMPLITUDES. SPONTANEOUS AND STIMULATED EMISSION OF PHONONS. CALCULATION OF THE SELF ENERGY AND EFFECTIVE MASS OF AN ELECTRON IN INTERACTION WITH A PHONON FIELD. ELECTRON-PHONON INTERACTION IN IONIC CRYSTALS. POLARON. GENERALIZATION OF BLOCH THEOREM FOR NON RIGID CRYSTALS. THE POLARON WAVE FUNCTION OF LOW-LEE-PINES. WEAK COUPLING LIMIT. EXTENSION TO THE LIMIT OF STRONG COUPLING (LANDAU-PEKAR). EFFECTIVE INTERACTION AMONG POLARONS. BIPOLARONS. ELECTRON-ELECTRON EFFECTIVE INTERACTION IN METALS. PAIRING HAMILTONIAN. BCS THEORY OF SUPERCONDUCTIVITY. THE PROBLEM OF COOPER. INSTABILITY OF THE FERMI SEA. WAVE FUNCTION OF THE SUPERCONDUCTING STATE. SOLUTION AT A TEMPERATURE OF ZERO. EQUATION OF GAP. ELEMENTARY EXCITATIONS AND BOGOLIUBOV TRANSFORMATION. GAP EQUATION AT FINITE TEMPERATURE. EXPERIMENTAL EVIDENCES OF THE EXISTENCE OF THE ENERGY GAP. CALCULATION OF THE SPECIFIC HEAT OF A SUPERCONDUCTOR. BOSE-EINSTEIN CONDENSATION OF ULTRACOLD ATOMIC GASES. MEAN FIELD EQUATION OF GROSS-PITAEVSKII. BOSE-EINSTEIN CONDENSATES IN OPTICAL LATTICES. BLOCH OSCILLATIONS AND JOSEPHSON EFFECT BETWEEN CONDENSATES IN OPTICAL LATTICES. MULTICOMPONENT CONDENSATES AND MIXTURES OF BOSE-FERMI. |
| Teaching Methods | |
|---|---|
| THE COURSE CONSISTS OF A THEORETICAL PART AIMED TO PROVIDE THE GENERAL TOOLS TO DEAL WITH ADVANCED CONDENSED MATTER PROBLEMS AND A PHENOMENOLOGICAL PART MORE APPLICATIVE ORIENTED. |
| Verification of learning | |
|---|---|
| THE EVALUATION WILL CONSIST OF A FINAL ORAL EXAMINATION PLUS A SEMINAR ON AN ARGUMENT CHOSEN BY THE STUDENT AND RELATED TO THE TOPICS STUDIED IN THE COURSE. |
| Texts | |
|---|---|
| H. HAKEN, QUANTUM FIELD THEORY OF SOLIDS, NORTH-HOLLAND, AMSTERDAM, 1976. R. P. FEYNMAN STATISTICAL MECHANICS: A SET OF LECTURES, BENJAMIN, 1972. L. PITAEVSKII, S. STRINGARI, BOSE-EINSTEIN CONDENSATION, OXFORD SCIENCE PUBLICATIONS, 2003 |
| More Information | |
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