Zur Navigation springen Zur Suche springen

General

Display information for equation id:math.1677.46 on revision:1677

* Page found: Kugelsymmetrische Potentiale (eq math.1677.46)

(force rerendering)

Occurrences on the following pages:

Hash: 73d63fb7c673673c30ecbd09061e24bf

TeX (original user input): 

{{L}^{2}}\Psi (r,\vartheta ,\phi )=-{{\hbar }^{2}}\left\{ \frac{1}{\sin \vartheta }\frac{\partial }{\partial \vartheta }\left( \sin \vartheta \frac{\partial \Psi (r,\vartheta ,\phi )}{\partial \vartheta } \right)+\frac{1}{{{\sin }^{2}}\vartheta }\frac{{{\partial }^{2}}\Psi (r,\vartheta ,\phi )}{\partial {{\phi }^{2}}} \right\}

TeX (checked): 

{{L}^{2}}\Psi (r,\vartheta ,\phi )=-{{\hbar }^{2}}\left\{{\frac {1}{\sin \vartheta }}{\frac {\partial }{\partial \vartheta }}\left(\sin \vartheta {\frac {\partial \Psi (r,\vartheta ,\phi )}{\partial \vartheta }}\right)+{\frac {1}{{{\sin }^{2}}\vartheta }}{\frac {{{\partial }^{2}}\Psi (r,\vartheta ,\phi )}{\partial {{\phi }^{2}}}}\right\}

LaTeXML (experimentell; verwendet MathML) rendering

MathML (18.999 KB / 2.489 KB) :

L 2 ⁢ Ψ ⁢ ( r , ϑ , ϕ ) = - ℏ 2 ⁢ { 1 sin ⁡ ϑ ⁢ ∂ ∂ ⁡ ϑ ⁢ ( sin ⁡ ϑ ⁢ ∂ ⁡ Ψ ⁢ ( r , ϑ , ϕ ) ∂ ⁡ ϑ ) + 1 sin 2 ⁡ ϑ ⁢ ∂ 2 ⁡ Ψ ⁢ ( r , ϑ , ϕ ) ∂ ⁡ ϕ 2 } superscript 𝐿 2 Ψ 𝑟 italic-ϑ italic-ϕ superscript Planck-constant-over-2-pi 2 1 italic-ϑ italic-ϑ italic-ϑ Ψ 𝑟 italic-ϑ italic-ϕ italic-ϑ 1 superscript 2 italic-ϑ superscript 2 Ψ 𝑟 italic-ϑ italic-ϕ superscript italic-ϕ 2 {\displaystyle{\displaystyle{{L}^{2}}\Psi(r,\vartheta,\phi)=-{{\hbar}^{2}}% \left\{\frac{1}{\sin\vartheta}\frac{\partial}{\partial\vartheta}\left(\sin% \vartheta\frac{\partial\Psi(r,\vartheta,\phi)}{\partial\vartheta}\right)+\frac% {1}{{{\sin}^{2}}\vartheta}\frac{{{\partial}^{2}}\Psi(r,\vartheta,\phi)}{% \partial{{\phi}^{2}}}\right\}}}

SVG image empty. Force Re-Rendering

SVG (0 B / 8 B) :


MathML (experimentell; keine Bilder) rendering

MathML (2.372 KB / 417 B) :

L2Ψ(r,ϑ,ϕ)=−ℏ2{1sin⁡ϑ∂∂ϑ(sin⁡ϑ∂Ψ(r,ϑ,ϕ)∂ϑ)+1sin2ϑ∂2Ψ(r,ϑ,ϕ)∂ϕ2}

Translations to Computer Algebra Systems

Translation to Maple

In Maple:

Translation to Mathematica

In Mathematica:

Similar pages

Calculated based on the variables occurring on the entire Kugelsymmetrische Potentiale page

Identifiers

  • L
  • Ψ
  • r
  • ϑ
  • ϕ
  • ϑ
  • ϑ
  • ϑ
  • Ψ
  • r
  • ϑ
  • ϕ
  • ϑ
  • ϑ
  • Ψ
  • r
  • ϑ
  • ϕ
  • ϕ

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results

Abgerufen von „https://wiki.physikerwelt.de/wiki/Spezial:Formelinformation“