1. The origin of quantum mechanics, Young's experiment on the double slit. Probability amplitudes, Schrödinger wave equation, comparison of classical and quantum mechanics, Identical particles.
2. Mathematical apparatus, operators, eigenvalues, eigenfunctions, bra-ket notation.
3. Measurement in quantum mechanics, operators of physical quantities, commutative relations, quantization, wave function reduction, Heisenberg uncertainty relations.
4. Time and time independent Schrödinger equation, continuity equation.
5. Free particle, particle in infinitely deep potential well.
6. Potential pit of finite depth, potential wave, tunnel effect.
7. Uncertainty relation, derivation, implications and connection with classical physics.
8. Harmonic oscillator, energy spectrum of Schrödinger equation.
9. Electron spin, Pauli matrix, magnetic moment.
10. Hydrogen-like atom.
11. Particles in an electromagnetic field.
12. Different interpretations of quantum mechanics
13. Interesting applications of quantum mechanics: quantum computers and cryptography, teleportation.
2. Mathematical apparatus, operators, eigenvalues, eigenfunctions, bra-ket notation.
3. Measurement in quantum mechanics, operators of physical quantities, commutative relations, quantization, wave function reduction, Heisenberg uncertainty relations.
4. Time and time independent Schrödinger equation, continuity equation.
5. Free particle, particle in infinitely deep potential well.
6. Potential pit of finite depth, potential wave, tunnel effect.
7. Uncertainty relation, derivation, implications and connection with classical physics.
8. Harmonic oscillator, energy spectrum of Schrödinger equation.
9. Electron spin, Pauli matrix, magnetic moment.
10. Hydrogen-like atom.
11. Particles in an electromagnetic field.
12. Different interpretations of quantum mechanics
13. Interesting applications of quantum mechanics: quantum computers and cryptography, teleportation.