DLMF:33.22.E1 (Q9683): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q12703 / rank
 
Normal rank
Property / Symbols used: Q12703 / qualifier
 
Defining formula:

Z k subscript 𝑍 𝑘 {\displaystyle{\displaystyle Z_{k}}}

Z_{k}
Property / Symbols used: Q12703 / qualifier
 
xml-id: C33.S22.XMD1.m1dec

Revision as of 14:39, 2 January 2020

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DLMF:33.22.E1
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    Statements

    Defining formula
    ( - ℏ 2 2 ⁢ m ⁢ ( d 2 d s 2 - ℓ ⁢ ( ℓ + 1 ) s 2 ) + Z 1 ⁢ Z 2 ⁢ α ⁢ ℏ ⁢ c s ) ⁢ w = E ⁢ w , superscript Planck-constant-over-2-pi 2 2 𝑚 derivative 𝑠 2 ℓ ℓ 1 superscript 𝑠 2 subscript 𝑍 1 subscript 𝑍 2 fine-structure-constant Planck-constant-over-2-pi speed-of-light 𝑠 𝑤 𝐸 𝑤 {\displaystyle{\displaystyle\left(-\frac{\hbar^{2}}{2m}\left(\frac{{\mathrm{d}% }^{2}}{{\mathrm{d}s}^{2}}-\frac{\ell(\ell+1)}{s^{2}}\right)+\frac{Z_{1}Z_{2}% \alpha\hbar c}{s}\right)w=Ew,}}
    0 references
    DLMF id
    DLMF:33.22.E1
    0 references
    Symbols used
    derivative of $$f$$ with respect to $$x$$
    Defining formula
    d f d x derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}
    xml-id
    C1.S4.E4.m2adec
    0 references
    Q12666
    Defining formula
    ℓ ℓ {\displaystyle{\displaystyle\ell}}
    xml-id
    C33.S1.XMD2.m1dec
    0 references
    Q12703
    Defining formula
    Z k subscript 𝑍 𝑘 {\displaystyle{\displaystyle Z_{k}}}
    xml-id
    C33.S22.XMD1.m1dec
    0 references
     
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