Quantum Mechanics and Applications

Lecturer(s): Anne-Segolene CALLARD, José PENUELAS
Course ⋅ 18 hTC ⋅ 18 hAutonomy ⋅ 12 h


Quantum mechanics is one of the most predictive and widespread physical theories we know. It allows us to describe the atoms and constituents of matter, but it also allows to understand the assemblies of molecules, the nature of light and the structure of solids. Quantum mechanics, as a fundamental science, is also at the origin of great applications upon which are based our modern society: most high-tech products are directly derived from quantum concepts (computer, laser, GPS, MRI ...). The objective of this course is to offer an introduction to quantum mechanics and its general principles using the Dirac formalism.

Palabras clave

Schrödinger Equation, quantum state, Quantum mechanics principles, superposition, Dirac formalism, Hamiltonian,Hilbert space, spin, fermion, boson, indistinguishable particles


  • Back to wave / particle duality - Construction of quantum theory.
  • Measurement / Time evolution of systems.
  • The postulates of quantum mechanics.
  • Two-state systems.
  • The angular momentum.
  • ½ spin.
  • NMR.
  • The identical particles.
  • The fermions, the bosons.

Learning Outcomes

  • Identify the field of application of quantum mechanics and the quantum / classical limit.
  • Apply the principles of quantum mechanics.
  • Use Dirac formalism to solve a problem of quantum mechanics.
  • Describe the state of several particles and their spin.


Final mark = 100% Knowledge Knowledge mark = 90% final exam +10% continuous assessment