DLMF:18.39.E2 (Q6061)

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DLMF:18.39.E2
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    Statements

    Defining formula
    d 2 η d x 2 + 2 ⁢ m ℏ 2 ⁢ ( E - V ⁢ ( x ) ) ⁢ η = 0 . derivative 𝜂 𝑥 2 2 𝑚 superscript Planck-constant-over-2-pi 2 𝐸 𝑉 𝑥 𝜂 0 {\displaystyle{\displaystyle\frac{{\mathrm{d}}^{2}\eta}{{\mathrm{d}x}^{2}}+% \frac{2m}{\hbar^{2}}\left(E-V(x)\right)\eta=0.}}
    0 references
    DLMF id
    DLMF:18.39.E2
    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
    Q11730
    Defining formula
    m 𝑚 {\displaystyle{\displaystyle m}}
    xml-id
    C18.S1.XMD5.m1adec
    0 references
    Q11727
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C18.S2.XMD3.m1adec
    0 references
    Q11801
    Defining formula
    V ⁢ ( x ) 𝑉 𝑥 {\displaystyle{\displaystyle V(x)}}
    xml-id
    C18.S39.XMD1.m1adec
    0 references
     
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