CourseLevel 4 (up to Physics M.Sc.)Advanced Quantum Mechanics III Here you will learn how to treat complex quantum systems with perturbation theory and how to describe many-body quantum systems with second quantization.
Derivation Level 3 (up to Physics B.Sc.)Finite Potential Well: Wave Function and Energy Derivation of allowed energies and associated wave functions inside and outside a one-dimensional finite potential box.
FormulaCommutator Between Angular Momentum Squared and Angular Momentum Component $$ [ L^2, \, L_j ] ~=~ 0 $$
LessonLevel 2 (suitable for students)Photon Energy - The Energy of Light Particles Here you will learn how to determine energy of photons and how this energy depends on the color of light (frequency or wavelength).
FormulaCompton Scattering (Wavelength Difference, Compton Wavelength, Angle) $$ \Delta \lambda ~=~ \lambda_{\text C} \, \left( 1 ~-~ \cos(\theta) \right) $$
FormulaRydberg Formula for Hydrogen (Wavelength, Quantum Number) $$ \lambda ~=~ \frac{1}{R \, \left( \frac{1}{n^2} - \frac{1}{m^2} \right)} $$
FormulaPhoton Energy Per Mole (Wavelength) $$ W_{\text{mol}} ~=~ N_{\text A} \, h \, \frac{c}{\lambda} $$
VideoLevel 2 (suitable for students)Photoelectric Effect and The Einstein Formula Simply Explained Here you will learn what the photoelectric effect is, how it can be described with a Einstein formula + everything you need to know about it.
FormulaWien's Displacement Law (Temperature, Wavelength) $$ T ~=~ \frac{2897.8 \,\cdot\, 10^{-6} \, \mathrm{m} \mathrm{K}}{ \class{blue}{ \lambda_{\text{max}}} } $$
VideoLevel 3 (up to Physics B.Sc.)Hermitian Operators Simply Explained In this physics video you will learn what Hermitian operators and matrices are and what important properties they have.
