michi/silverbullet
1
0
Fork 0
Code Issues Pull Requests Actions Packages Projects Releases Wiki Activity

fix latex

Browse Source
This commit is contained in:
michi
2026-02-05 13:44:35 +00:00
parent 010e2919c4
commit 4211901764
7 changed files with 221 additions and 21 deletions
Download Patch File Download Diff File Expand all files Collapse all files

23
Wissen/Physik.md
View File

@@ -2,26 +2,23 @@
## 🌌 Fundamentalkonstanten (CODATA 2018)
| Größe | Symbol | Wert (SI) | Unsicherheit |
| :--- | :--- | :--- | :--- |
| **Lichtgeschwindigkeit** | $c$ | $299\,792\,458 \, \mathrm{m/s}$ | (exakt) |
| **Planck-Konstante** | $h$ | $6.626\,070\,15 \times 10^{-34} \, \mathrm{Js}$ | (exakt) |
| **Elementarladung** | $e$ | $1.602\,176\,634 \times 10^{-19} \, \mathrm{C}$ | (exakt) |
| **Boltzmann-Konstante** | $k_B$ | $1.380\,649 \times 10^{-23} \, \mathrm{J/K}$ | (exakt) |
| **Gravitationskonstante** | $G$ | $6.674\,30(15) \times 10^{-11} \, \mathrm{m^3 kg^{-1} s^{-2}}$ | $2.2 \times 10^{-5}$ |
**Lichtgeschwindigkeit**: ${latex.inline[[c = 299\,792\,458 \, \mathrm{m/s}]]}
**Planck-Konstante**: ${latex.inline[[h = 6.626\,070\,15 \times 10^{-34} \, \mathrm{Js}]]}
**Elementarladung**: ${latex.inline[[e = 1.602\,176\,634 \times 10^{-19} \, \mathrm{C}]]}
**Boltzmann-Konstante**: ${latex.inline[[k_B = 1.380\,649 \times 10^{-23} \, \mathrm{J/K}]]}
**Gravitationskonstante**: ${latex.inline[[G=6.674\,30(15) \times 10^{-11} \, \mathrm{m^3 kg^{-1} s^{-2}}]]}
## 📐 Häufig genutzte Umrechnungen
* **Energie:** $1 \, \mathrm{eV} \approx 1.602 \times 10^{-19} \, \mathrm{J}$
* **Druck:** $1 \, \mathrm{bar} = 10^5 \, \mathrm{Pa} \approx 0.9869 \, \mathrm{atm}$
* **Temperatur:** $T_{\mathrm{Kelvin}} = T_{\mathrm{Celsius}} + 273.15$
* **Energie:** ${latex.inline[[1 \, \mathrm{eV} \approx 1.602 \times 10^{-19} \, \mathrm{J}]]}
* **Druck:** ${latex.inline[[1 \, \mathrm{bar} = 10^5 \, \mathrm{Pa} \approx 0.9869 \, \mathrm{atm}]]}
* **Temperatur:** ${latex.inline[[T_{\mathrm{Kelvin}} = T_{\mathrm{Celsius}} + 273.15 K]]}
## 📝 LaTeX Schnipsel (Copy & Paste)
Für schnelles Einfügen in Papers oder dieses Wiki.
* **Maxwell-Gleichungen (Vakuum):**
$$\nabla \cdot \mathbf{E} = 0, \quad \nabla \cdot \mathbf{B} = 0$$
$$\nabla \times \mathbf{E} = -\frac{\partial \mathbf{B}}{\partial t}, \quad \nabla \times \mathbf{B} = \mu_0 \epsilon_0 \frac{\partial \mathbf{E}}{\partial t}$$
${latex.block[[\nabla \cdot \mathbf{E} = 0, \quad \nabla \cdot \mathbf{B} = 0 \newline \nabla \times \mathbf{E} = -\frac{\partial \mathbf{B}}{\partial t}, \quad \nabla \times \mathbf{B} = \mu_0 \epsilon_0 \frac{\partial \mathbf{E}}{\partial t}]]}
* **Schrödinger-Gleichung:**
$$i\hbar \frac{\partial}{\partial t} \Psi = \hat{H} \Psi$$
${latex.block[[i\hbar \frac{\partial}{\partial t} \Psi = \hat{H} \Psi]]}