DLMF:18.39.E6 (Q6065)

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DLMF:18.39.E6
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    Statements

    Defining formula
    ∇ 2 ⁡ ψ + 2 ⁢ m ℏ 2 ⁢ ( E - V ⁢ ( 𝐱 ) ) ⁢ ψ = 0 , superscript ∇ 2 𝜓 2 𝑚 superscript Planck-constant-over-2-pi 2 𝐸 𝑉 𝐱 𝜓 0 {\displaystyle{\displaystyle\nabla^{2}\psi+\frac{2m}{\hbar^{2}}\left(E-V(% \mathbf{x})\right)\psi=0,}}
    0 references
    DLMF id
    DLMF:18.39.E6
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    comment
    Warning: Falling back to standard tex;
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    Symbols used
    Q11730
    Defining formula
    m 𝑚 {\displaystyle{\displaystyle m}}
    xml-id
    C18.S1.XMD5.m1cdec
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    Q11801
    Defining formula
    V ⁢ ( x ) 𝑉 𝑥 {\displaystyle{\displaystyle V(x)}}
    xml-id
    C18.S39.XMD1.m1cdec
    0 references
    Q11802
    Defining formula
    ψ ⁢ ( x , t ) 𝜓 𝑥 𝑡 {\displaystyle{\displaystyle\psi(x,t)}}
    xml-id
    C18.S39.XMD2.m1adec
    0 references
    Energy (locally)
    Defining formula
    E 𝐸 {\displaystyle{\displaystyle E}}
    xml-id
    C18.S39.XMD4.m1bdec
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