DLMF:18.39.E1 (Q6060): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: partial differential of $$x$$ / rank
 
Normal rank
Property / Symbols used: partial differential of $$x$$ / qualifier
 
Defining formula:

∂ ⁡ x 𝑥 {\displaystyle{\displaystyle\partial\NVar{x}}}

\pdiff{\NVar{x}}
Property / Symbols used: partial differential of $$x$$ / qualifier
 
xml-id: C1.S5.E3.m2adec
Property / Symbols used
 
Property / Symbols used: Q11730 / rank
 
Normal rank
Property / Symbols used: Q11730 / qualifier
 
Defining formula:

m 𝑚 {\displaystyle{\displaystyle m}}

m
Property / Symbols used: Q11730 / qualifier
 
xml-id: C18.S1.XMD5.m1dec
Property / Symbols used
 
Property / Symbols used: Q11727 / rank
 
Normal rank
Property / Symbols used: Q11727 / qualifier
 
Defining formula:

x 𝑥 {\displaystyle{\displaystyle x}}

x
Property / Symbols used: Q11727 / qualifier
 
xml-id: C18.S2.XMD3.m1dec
Property / Symbols used
 
Property / Symbols used: Q11801 / rank
 
Normal rank
Property / Symbols used: Q11801 / qualifier
 
Defining formula:

V ⁢ ( x ) 𝑉 𝑥 {\displaystyle{\displaystyle V(x)}}

V(x)
Property / Symbols used: Q11801 / qualifier
 
xml-id: C18.S39.XMD1.m1dec
Property / Symbols used
 
Property / Symbols used: Q11802 / rank
 
Normal rank
Property / Symbols used: Q11802 / qualifier
 
Defining formula:

ψ ⁢ ( x , t ) 𝜓 𝑥 𝑡 {\displaystyle{\displaystyle\psi(x,t)}}

\psi(x,t)
Property / Symbols used: Q11802 / qualifier
 
xml-id: C18.S39.XMD2.m1dec

Latest revision as of 13:33, 2 January 2020

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DLMF:18.39.E1
No description defined

    Statements

    Defining formula
    ( - ℏ 2 2 ⁢ m ⁢ ∂ 2 ∂ ⁡ x 2 + V ⁢ ( x ) ) ⁢ ψ ⁢ ( x , t ) = i ⁢ ℏ ⁢ ∂ ∂ ⁡ t ⁡ ψ ⁢ ( x , t ) , superscript Planck-constant-over-2-pi 2 2 𝑚 partial-derivative 𝑥 2 𝑉 𝑥 𝜓 𝑥 𝑡 𝑖 Planck-constant-over-2-pi partial-derivative 𝑡 𝜓 𝑥 𝑡 {\displaystyle{\displaystyle\left(\frac{-\hbar^{2}}{2m}\frac{{\partial}^{2}}{{% \partial x}^{2}}+V(x)\right)\psi(x,t)=i\hbar\frac{\partial}{\partial t}\psi(x,% t),}}
    0 references
    DLMF id
    DLMF:18.39.E1
    0 references
    Symbols used
    imaginary unit
    Defining formula
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2adec
    0 references
    partial derivative of $$f$$ with respect to $$x$$
    Defining formula
    ∂ ⁡ f ∂ ⁡ x partial-derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\partial\NVar{f}}{\partial\NVar{x}}}}
    xml-id
    C1.S5.E3.m4adec
    0 references
    partial differential of $$x$$
    Defining formula
    ∂ ⁡ x 𝑥 {\displaystyle{\displaystyle\partial\NVar{x}}}
    xml-id
    C1.S5.E3.m2adec
    0 references
    Q11730
    Defining formula
    m 𝑚 {\displaystyle{\displaystyle m}}
    xml-id
    C18.S1.XMD5.m1dec
    0 references
    Q11727
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C18.S2.XMD3.m1dec
    0 references
    Q11801
    Defining formula
    V ⁢ ( x ) 𝑉 𝑥 {\displaystyle{\displaystyle V(x)}}
    xml-id
    C18.S39.XMD1.m1dec
    0 references
    Q11802
    Defining formula
    ψ ⁢ ( x , t ) 𝜓 𝑥 𝑡 {\displaystyle{\displaystyle\psi(x,t)}}
    xml-id
    C18.S39.XMD2.m1dec
    0 references
     
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