Mittateoria, viikko 2

15. syyskuuta 2024

Viikon 2 asiat

You can enable MathJax by setting mathjax: true on a page or globally in the _config.yml. Some examples:

Euler’s formula relates the complex exponential function to the trigonometric functions.

\[e^{i\theta}=\cos(\theta)+i\sin(\theta)\]

The Euler-Lagrange differential equation is the fundamental equation of calculus of variations.

\[\frac{\mathrm{d}}{\mathrm{d}t} \left ( \frac{\partial L}{\partial \dot{q}} \right ) = \frac{\partial L}{\partial q}\]

The Schrödinger equation describes how the quantum state of a quantum system changes with time.

\[i\hbar\frac{\partial}{\partial t} \Psi(\mathbf{r},t) = \left [ \frac{-\hbar^2}{2\mu}\nabla^2 + V(\mathbf{r},t)\right ] \Psi(\mathbf{r},t)\]