Ecuació d'Schrödinger. Regla mnemotčcnica per escriure-la

Ingredients

    Energia:

      `E=1/2m·v^2+V`


      `p=m·v`


      `E=p^2/(2m)+V`


    Canvis:

      `p=-iℏ \partial/(\partialx)`


      `E=iℏ \partial/(\partialt)`


    Funció d'ona:

      `\Psi(x,t)`




Cąlculs

    `p^2/(2m)+V=E`


    `(-iℏ \partial/(\partialx))^2/(2m)+V=iℏ \partial/(\partialt)`


    `(-ℏ^2)/(2m) \partial^2/(\partialx^2)+V=iℏ \partial/(\partialt)`



`(-ℏ^2)/(2m) (\partial^2\Psi(x,t))/(\partialx^2)+V\Psi(x,t)=iℏ (\partial\Psi(x,t))/(\partialt)`