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quantum mechanics

Heisenberg Picture

ddtAH=1i[AH,H]+(AHt)\small {d \over d t}A_H = \frac{1}{i\hbar}[A_H, H] + \left(\frac{\partial A_H}{\partial t}\right)

Schrodinger's Equation

itΨ(x,t)=[22m2x2+V(x,t)]Ψ(x,t)\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)