Some Important Formula in Physics

1. Schrödinger Equation:

$$i \hbar \frac{\partial \psi}{\partial t}=\hat{H} \psi$$

2. Dirac Equation:

$$\left(i \gamma^\mu \partial_\mu-m\right) \psi=0$$

3. Einstein's Field Equations:

$$R_{\mu \nu}-\frac{1}{2} g_{\mu \nu} R+\Lambda g_{\mu \nu}=\frac{8 \pi G}{c^4} T_{\mu \nu}$$

4. Navier-Stokes Equation:

$$\rho\left(\frac{\partial \mathbf{u}}{\partial t}+\mathbf{u} \cdot \nabla \mathbf{u}\right)=-\nabla p+\mu \nabla^2 \mathbf{u}+\mathbf{f}$$