## Angular momentum commutator (Lx and Ly)

` $$ [ L_{\text x}, L_{\text y} ] ~=~ \mathrm{i} \, \hbar \, L_{\text z} $$ `

Here you will learn the strange behavior of the microcosm: the quantization of energy, uncertainty principle, quantum tunnelling and so on. Enter the world of the building blocks of our universe.

` $$ [ L_{\text x}, L_{\text y} ] ~=~ \mathrm{i} \, \hbar \, L_{\text z} $$ `

` $$ \Delta \lambda ~=~ \lambda_{\text C} \, \left( 1 ~-~ \cos(\theta) \right) $$ `

` $$ \psi_n(x) ~=~ \begin{cases} \sqrt{\frac{2}{L}}\sin\left(\frac{n\pi}{L}\,x\right)~, & 0\leq x \leq L \\\\ 0~, & x\lt0,x\gt L \end{cases} $$ `

` $$ W ~=~ h \, f ~-~ e \, U_{\text G} $$ `

Derivation of the formula for wavelength for the Compton scattering, where a photon collides with an electron.