Quantum redactiones paginae "Chemia quantica" differant
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<math display="block">\hat H \psi(\mathbf r) = \bigl(-\frac{\hbar^2\nabla^2}{2 m_{\mathrm e}} - \frac{Z{\mathrm e}^2}{\left \vert\mathbf r \right\vert}\bigr)\psi(\mathbf r) = E \psi(\mathbf r)</math>
quid in unitatibus atomicis trascribi potest <math display="block">\hat H \psi(\mathbf r) = \bigl(-\frac{\nabla^2}{2 } - \frac{Z}{\left \vert\mathbf r \right\vert}\bigr)\psi(\mathbf r) = E \psi(\mathbf r).</math>Ut eam [[Usor:Tchougreeff/QUOMODO sive HOW To/PRINCIPIA CALCULI DIFFERENTIALIS ET INTEGRALIS ITEMQUE CALCULI DIFFERENTIARUM FINITARUM AUCTORE ANDREA CARAFFA E SOCIETATE IESU ROMAE TYPIS IOANNIS BAPTISTAE MARINI ET SOCII MDCCCXLV#resolvere|resolvāmus]] a coordinatis [[Renatus Cartesius|cartesianis]] ad coordinatas sphaericas <math display="block">\mathbf r = (x,y,z) = r (\sin\theta\cos\varphi,\sin\theta\sin\varphi,\cos \theta) </math>transeāmus, in quibus operator Laplacianus in coordinatis cartesianis formam: <math display="block">\nabla^2 = \frac{\partial^2}{\partial x^2} + \frac{\partial^2}{\partial y^2} + \frac{\partial^2}{\partial z^2} </math> habens, accipit autem formam<math display="block">\nabla^2
= {1 \over r^2} {\partial \over \partial r}
\left( r^2 {\partial \over \partial r} \right)
+ {1 \over r^2 \sin \theta} {\partial \over \partial \theta}
\left( \sin \theta {\partial \over \partial \theta} \right)
+ {1 \over r^2\sin^2 \theta} {\partial^2 \over \partial \varphi^2}.</math>Nec simplice videtur autem cum debita dexteritate adhibenda
==== Atomi cum pluribus electronibus ====
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