Sumários

Revision session: The Dirac notation

25 Setembro 2025, 11:00 Mykola Tasinkevych

During the session the following topics have been discussed:

  • Wave mechanics
  • The Hilbert space
  • Quantum states as vectors
  • The Dirac notation
  • Properties of kets, bras and brackets
  • Completeness
  • Position and momentum space



Revision session: Postulates

23 Setembro 2025, 11:00 Mykola Tasinkevych

During the session the five postulates of quantum mechanics (according to the Copenhagen interpretation) have been discussed
  • The wavefunction
  • Operators in Quantum Mechanics: Connection between observables and mathematical operators
  • The superposition postulate
  • Measurements in quantum mechanics
  • Time evolution of the wavefunction


Tutorial session on QM postulates

18 Setembro 2025, 12:00 Mykola Tasinkevych

Discussed several problems covering the general revision session


Revision session: Operators

18 Setembro 2025, 11:00 Mykola Tasinkevych

The following topics have been discussed:

  • Commutator of 2 operators 
  • Properties of operators
  • Hermitian operators and consequences
  • Simultaneousity and Complementarity
  • Equation of motion


Revision session 1:

16 Setembro 2025, 11:00 Mykola Tasinkevych

During the session the following topics have been covered:

  • Classical vs quantum
  • The wavefunction and its physical significance
  • Schrödinger equation (time dependent and independent)
  • Operators and their uses in Quantum Mechanics 
  • Observables: Expectation values and standard deviations.
  • Examples in 1D: Free particle, Particle in a box, Simple Harmonic Oscillator
  • Examples in 2D/3D: