## Bohr Model (Circumference, De-Broglie Wavelength)

` $$ U_{\class{red}{n}} ~=~ \class{red}{n} \, \lambda $$ `

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.

` $$ U_{\class{red}{n}} ~=~ \class{red}{n} \, \lambda $$ `

` $$ r_{\class{red}{n}} ~=~ \frac{\class{red}{n} \, \hbar}{ m_{\text e} \, v_{\class{red}{n}} } $$ `

` $$ W ~=~ h \, \frac{c}{\class{red}{\lambda_0}} $$ `

` $$ W_{\text{mol}} ~=~ N_{\text A} \, h \, f $$ `

List of important physical quantities, their symbols, (derived) units and examples with images.

Learn about important physical constants and what their formula symbols and SI units are.

Derivation of the Heisenberg uncertainty relation for momentum and position using a single slit through which many electrons pass and for which the De Broglie relation holds.

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 of allowed energies and associated wave functions inside and outside a one-dimensional finite potential box.

Here you will learn about angular momentum in quantum mechanics, its commutators, and how angular momentum states and eigenvalues are generated using ladder operators.

` $$ [ L^2, \, L_j ] ~=~ 0 $$ `