Enrollment year
2016/2017
Academic discipline
FIS/02 (THEORETICAL PHYSICS, MATHEMATICAL MODELS AND METHODS)
Department
DEPARTMENT OF PHYSICS
Curriculum
PERCORSO COMUNE
Period
(01/10/2018 - 11/01/2019)
Lesson hours
60 lesson hours
Prerequisites
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Learning outcomes
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Course contents
Time evolutioin pictures: Schroedinger, Heisenberg, Interaction. The time evolution operator for time-dependent hamiltonians: Dyson expansion. Non-degenerate and degnerate time-independent perturbation theory. Some perturbative hamiltonians: the
relativistic correction, the Zeeman effect, the spin-orbit hamiltonian, the hyperfine splitting hamiltonian. Perturbative treatment of time evolution: transition and survival probabilities. Time-dependent perturbation theory: constant and sinusoidal perturbations.
Emission and absorption of radiation. Spontaneous emission. Einstein’s coefficients. Non-perturbative approximate methods: the variational method; WKB; Hartree; Hartree-Fock (elements). Elementary scattering theory: classical vs quantum treatment, the scattering cross section. Partial wave expansion; phase shifts; Argand diagram; the optical theorem; the Breit-Wigner approximation; the Born approximation; Green’s functions.
Irreducible tensorial sets: definition and examples; the Wigner-Eckart theorem; selection rules. Path integral quantization (elements). The adiabatic theorem. The Aharonov-Bohm effect.
Teaching methods
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Reccomended or required readings
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Assessment methods
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Further information
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Sustainable development goals - Agenda 2030
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