Formula4. Maxwell equation (integral form) $$ \oint_{L} \class{violet}{\boldsymbol{B}} ~\cdot~ \text{d}\boldsymbol{l} ~=~ \mu_0 \, \class{red}{I} ~+~ \int_{A} \frac{\partial \class{blue}{\boldsymbol{E}}}{\partial t} ~\cdot~ \text{d}\boldsymbol{a} $$
Formula2. Maxwell equation (integral form) $$ \oint_A \class{violet}{\boldsymbol{B}} ~\cdot~ \text{d}\boldsymbol{a} ~=~ 0 $$
Formula2. Maxwell equation (differential form) $$ \nabla \cdot \class{violet}{\boldsymbol{B}} ~=~ 0 $$
Formula1. Maxwell equation in integral form (E-field, charge) $$ \oint_A \class{blue}{\boldsymbol{E}} ~\cdot~ \text{d}\boldsymbol{a} ~=~ \frac{\class{red}{Q}}{\varepsilon_0} $$
FormulaDestructive interference condition (path difference) $$ \Delta s ~=~ \left( m - \frac{1}{2} \right) \, \lambda $$
FormulaTime-dependent Schrödinger equation (3d) $$ i \, \hbar \, \frac{\partial \mathit{\Psi}}{\partial t} ~=~ - \frac{\hbar^2}{2m} \, \nabla^2 \, \mathit{\Psi} ~+~ W_{\text{pot}} \, \mathit{\Psi} $$
FormulaDouble slit experiment (wavelength, path difference, slit distance) $$ \Delta s ~=~ \frac{x \, g}{a} $$
FormulaCondition for constructive interference (path difference, wavelength) $$ \Delta s ~=~ m \, \lambda $$
FormulaTime independent Schrödinger equation (3d) $$ W \, \mathit{\Psi} ~=~ - \frac{\hbar^2}{2m} \, \nabla^2 \, \mathit{\Psi} ~+~ W_{\text{pot}} \, \mathit{\Psi} $$
