Specific Competition
CE6 - Understand the structure of matter being able to solve problems related to the interaction between matter and radiation in different energy ranges
CE11 - Know how to use current astrophysical instrumentation (both in terrestrial and space observatories) especially that which uses the most innovative technology and know the fundamentals of the technology used
General Competencies
CG1 - Know the advanced mathematical and numerical techniques that allow the application of Physics and Astrophysics to the solution of complex problems using simple models
Basic skills
CB6 - Possess and understand knowledge that provides a basis or opportunity to be original in the development and/or application of ideas, often in a research context
CB7 - That students know how to apply the knowledge acquired and their ability to solve problems in new or little-known environments within broader contexts
CB8 - That students are able to integrate knowledge and face the complexity of formulating judgments based on information that, being incomplete or limited, includes reflections on the social and ethical responsibilities linked to the application of their knowledge and judgments
CB10 - That students possess the learning skills that allow them to continue studying in a way that will be largely self-directed or autonomous
Exclusive to the Structure of Matter Specialty
CX13 - Understand in depth the basic theories that explain the structure of matter and collisions as well as the state of matter in extreme conditions
CX14 - Understand the interrelation between atoms, molecules and radiation and diagnostic tools for the state of matter from the spectrum
CX16 - Understand the mechanisms of electromagnetic wave propagation and the dynamics of charged particles
6. Subject contents
Theoretical and practical contents of the subject
- Professor: Fernando Delgado Acosta
- Topics:
Symmetry in crystals. Theory of crystalline solids.
Born-Oppenheimer approximation. Ionic and electronic Hamiltonian.
Vibrations in the network. Experimental techniques to investigate the vibration spectrum.
Electrons in a lattice: Non-interacting electrons in a periodic lattice.
Electrons in a periodic lattice and the Bragg-Laue condition.
Approximation of localized electrons: " tight-binding " models.
Bloch's theorem: effective mass, speed of electrons.
Band theory: band filling, material classification.
interacting electrons
Second quantization: fermionic and bosonic field operators.
Medium field approaches. Hartree, Hartree-Fock. Exchange and correlation. Density functional theory.
Linear response theory. Dielectric function and magnetic susceptibility.
Transport.
Semiclassical transport: Boltzman equation. Conductivity and heat conduction.
Electromagnetic waves in high magnetic fields.
Quantum transport. Ballistic transport. Landauer formula and quantization of conductance. Tunneling and Coulomb blockage regime .
Optical properties
Review of fundamental relationships for optical phenomena.
Contribution of free charges. Plasmons. Interband transitions.
Light absorption in solids. Impurities. Luminescence and photoconductivity.
Practices preferably applied to materials of geophysical or astrophysical interest, although initially simple systems will be used as a model to obtain results in a reasonable time. Emphasis will be placed on the choice of the case study, its current state and the establishment of viable objectives according to the knowledge and means available.
