Selected Topics in Physics I.

2017. autumn semester

0. Energy in electromagnetic field
electromagnetic energy density, energy flux: Poynting vector

1. Lagrangian formalism
generalized coordinates, configuration space, principle of least action, (Fermat’s principle in optics), Euler-Lagrange equations, Lagrangian for a point mass and for a system of point masses; symmetries and conservations laws

2. Hamiltonian formalism (canonical mechanics)
phase space, canonically conjugated dynamical variables, Hamiltonian, canonical equations of motion; Hamiltonian in the presence of electromagnetic fields

3. Founding experiments of quantummechanics
Planck’s law of black-body radiation, photoelectric effect, Compton effect, discrete emission (absorption) spectrum of atoms, Franck-Hertz experiment, Zeeman effect, Stern–Gerlach exp., Einstein–de Haas exp., molar heat capacity of solids, Davisson-Germer experiment

4. Classical mechanics – quantum mechanics
Bohr—Sommerfeld quantization on the phase space, H-atom, harmonic oscillator; matter waves of de Broglie; (wave mechanics /Schrödinger/, matrix mechanics /Heisenberg/; Poisson bracket - commutator, commutations relations, uncertainty relations – only barely!)

5. Double-slit experiment
comparison of experiments with bullets – water waves – electrons, probability - probability amplitude; Hamilton’s principle of least action – Feynman path integral

Modern doubleslit experiment of Tonomura movie

A felkészüléshez segítséget nyújthat például a következő ajánlott irodalom:
- Budó Ágoston: Mechanika  32-35 paragrafusok (esetleg a 36-38 paragrafusok is)
- R.P. Feynman: Mai fizika 6. kötet megfelelő fejezete
- Landau - Lifsic: Mechanika (Elméleti fizika I.) (1-9, 40).
- Marx György: Kvantummechanika (1-6 paragrafusok)
- Erostyák János – Kürti Jenő – Raics Péter – Sükösd Csaba: Fizika III megfelelő fejezetei

Budapest, 2017. December 29.                             Kürti Jenő