Formula:6756

Digital Library of Mathematical Functions ID 18.39.E1

${\displaystyle{\displaystyle\left(\frac{-\hbar^{2}}{2m}\frac{{\partial}^{2}}{{\partial x}^{2}}+V(x)\right)\psi(x,t)=i\hbar\frac{\partial}{\partial t}\psi(x,t),}}$

Symbols List

• ${\displaystyle{\displaystyle\mathrm{i}}}$: imaginary unit
• ${\displaystyle{\displaystyle\frac{\partial\NVar{f}}{\partial\NVar{x}}}}$: partial derivative of $$f$$ with respect to $$x$$
• ${\displaystyle{\displaystyle\partial\NVar{x}}}$: partial differential of $$x$$
• ${\displaystyle{\displaystyle m}}$: nonnegative integer
• ${\displaystyle{\displaystyle x}}$: real variable
• ${\displaystyle{\displaystyle V(x)}}$: potential energy
• ${\displaystyle{\displaystyle\psi(x,t)}}$: wavefunction
 

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