Code: | F4034 | Acronym: | F4034 |
Keywords | |
---|---|
Classification | Keyword |
OFICIAL | Physics |
Active? | Yes |
Responsible unit: | Department of Physics and Astronomy |
Course/CS Responsible: | Master in Physics |
Acronym | No. of Students | Study Plan | Curricular Years | Credits UCN | Credits ECTS | Contact hours | Total Time |
---|---|---|---|---|---|---|---|
M:A_ASTR | 0 | Plano de Estudos oficial desde_2013/14 | 1 | - | 6 | 49 | 162 |
2 | |||||||
M:F | 7 | Official Study Plan | 1 | - | 6 | 49 | 162 |
To acquire skills, knowledge and methods to facilitate the understanding of literature results in particle physics, Physics Condensed Matter, Quantum Optics, etc.
To know and apply the most basic techniques of direct calculation in Quantum Physics:. Changes of base, use of symmetries, perturbation theory, second quantization, theory of scattering
To introduce Relativistic Quantum Mechanics and Quantum Field Theory (including electromagnetic radiation).
Acquisition of knowledge and skills relating to quantum concepts for reading and comprehension of research literature in areas such as, Particle Physics, Condensed Matter, Quantum Optics etc.
1. Review of basic QM
State-space, Kets, Bras, Operators and observables. Commutation relations. Complete set of compatible observables. Unitary transformations, matrix representations. Evolution operator, representations of Schroedinger and Heisenberg.
Stationary and time-dependent perturbations. Fermi golden rule.
Mixtures and pure states. Density matrix.
2.Introduction to Quantum Information
Entanglement. Von Neuman entropy. Von Neumann measurements.
Bell Inequalities
No Cloning theorem. Quantum cryptography. Dense Coding and teleportation
Quantum Computation. Circuit Model. Quantum Algorithms
2.Symmeties and unitary transformations
Discrete and continuous symmetries. Irreducible representations; quantum numbers
Rotation group SO(3). Angular momentum and spin. Operator Representations
3 Identical Particles
Quantification of coupled oscillators. Normal modes and Bosons
Fock space and second quantization. Fermions. Field operators.
5 Relativistic Quantum Mechanics
Dispersion relations, field equations and quantification.
The Weyl-Dirac equation in 2 + 1 D and graphene
Dirac equation. Simple solutions.
6. Electromagnetic Filed
Quantizatiom of a scalar field
Quantization of the electromagnetic field.Radiation states
Phase operators and coheren states.
Interaction matter-radiation in dipolar approximations. Selection rules.
Lectures; self-study. Autonomous problem solving aimed at developing the ability to apply quantum mechanics to fields such as condensed matter, particle physics, optics .
designation | Weight (%) |
---|---|
Exame | 70,00 |
Teste | 30,00 |
Total: | 100,00 |
designation | Time (hours) |
---|---|
Estudo autónomo | 120,00 |
Frequência das aulas | 42,00 |
Total: | 162,00 |
No requirements