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physics

Photon Energy

$$E = hf$$

Schrodinger's Equation

$$\scriptsize i\hbar\frac{\partial}{\partial t}\Psi(x,t) = \left[-\frac{\hbar^2}{2m}\frac{\partial^2}{\partial x^2} + V(x,t)\right]\Psi(x,t)$$

Lorentz Transformations

$$x' = \frac{x-vt}{\sqrt{1-v^2/c^2}}$$

Hooke's Law (Modulus of Elasticity)

$$\frac{F}{A} = E\frac{\Delta L}{L}$$

Hooke's Law (Spring Constant)

$$F = -kx$$

Ampere's Law

$$\oint \vec{B} \cdot d\vec{l} = \mu_0 I$$

Gauss's Law

$$\oiint \vec{E} \cdot d\vec{A} = \frac{Q_{enc}}{\epsilon_0}$$

Gravitational Potential Energy

$$U = mgh$$

Kinetic Energy

$$E_k = \frac{1}{2}mv^2$$

Laplace's Equation

$$\nabla^2 f = \nabla \cdot \nabla f = 0$$

Momentum (Newtonian)

$$p = mv$$

Newton's 2nd Law

$$F = ma$$

Ohm's Law

$$V = IR$$