## Energy Levels inside an Infinite Potential Well (1d)

` $$ W_{n} ~=~ \frac{h^2}{8m \, L^2} \, n^2 $$ `

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.

` $$ W_{n} ~=~ \frac{h^2}{8m \, L^2} \, n^2 $$ `

` $$ P(W) ~=~ \frac{1}{\mathrm{e}^{ \frac{ W - \mu }{ k_{\text B} \, T}} ~-~ 1} $$ `

Learn what Hermitian operators and matrices are and what three important properties they have. Examples are also made.

Here you will learn how Bra-Ket notation (Dirac notation) is defined, which computational rules exist for it and which advantages this notation brings.

Here you will learn the basics of quantum physics - that is, the quantization of nature in the world of atoms.

In this quantum mechanics lecture you will learn the Schrödinger equation (1d and 3d, time-independent and time-dependent) within 45 minutes.

In this lesson you will learn about the time-dependent and independent Schrödinger equation (1d, 3d), how it is derived and what you can do with it.

` $$ \lambda' ~-~ \lambda ~=~ \frac{h}{m \, c } \, \left( 1 ~-~ \cos(\theta) \right) $$ `

` $$ i \, \hbar \, \frac{\partial \mathit{\Psi}}{\partial t} ~=~ - \frac{\hbar^2}{2m} \, \nabla^2 \, \mathit{\Psi} ~+~ W_{\text{pot}} \, \mathit{\Psi} $$ `

` $$ W \, \mathit{\Psi} ~=~ - \frac{\hbar^2}{2m} \, \nabla^2 \, \mathit{\Psi} ~+~ W_{\text{pot}} \, \mathit{\Psi} $$ `

` $$ \Delta x \, \Delta p ~\geq~ \frac{h}{4\pi} $$ `