2023_24
Guia docent 
Escola Tècnica Superior d'Enginyeria
A A 
català 
Grau en Enginyeria Matemàtica i Física (2021)
 Assignatures
  FÍSICA QUÀNTICA
   Continguts
Tema Subtema
First steps in the Quantum world - Three laser experiments to illustrate the shortcomings of the common understanding of matter based on classical mechanics
- A basic mathematical description of a quantum state
- Stern-Gerlach experiment: electron spin
- Probabilities, expectation values and measurements
Origin of Quantum Physics - Historical overview (black-body radiation, photoelectric effect, electron diffraction, de Broglie wave length)
- Bohr's atom model
- Wave packets
Some useful mathematical concepts - Hilbert space
- Dirac notation
- Operators
- Eigenvalues and eigenvectors
Postulates of quantum mechanics - Abstract representation of the quantum state as a state vector of a Hilbert space
- Establish the relation between operators and physical observables
- The possible outcomes of the measurement of a physical observable
- The effect of a measurement on the quantum state
- Schrödinger equation, time evolution
Model systems - Free particle
- Particle in a box
- Potential step
- Tunneling
- Particle on a sphere
- Harmonic oscillator
Towards real-world problems - Hydrogen atom
- Perturbation theory
- Variational method
- Many particle systems
- Heitler-London wave function of H2