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- W4213428185 abstract "Abstract The exact solutions of the 2D Schrödinger equation with the inverse square root potential <?CDATA $V(r) = -a/sqrt{r}$?> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML overflow=scroll> <mml:mi>V</mml:mi> <mml:mo stretchy=false>(</mml:mo> <mml:mi>r</mml:mi> <mml:mo stretchy=false>)</mml:mo> <mml:mo>=</mml:mo> <mml:mo>−</mml:mo> <mml:mi>a</mml:mi> <mml:mrow> <mml:mo>/</mml:mo> </mml:mrow> <mml:msqrt> <mml:mi>r</mml:mi> </mml:msqrt> </mml:math> ( a > 0) are found as the Biconfluent Heun function <?CDATA $H_{B}(alpha, beta, gamma,delta; z)$?> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML overflow=scroll> <mml:msub> <mml:mi>H</mml:mi> <mml:mrow> <mml:mi>B</mml:mi> </mml:mrow> </mml:msub> <mml:mo stretchy=false>(</mml:mo> <mml:mi>α</mml:mi> <mml:mo>,</mml:mo> <mml:mi>β</mml:mi> <mml:mo>,</mml:mo> <mml:mi>γ</mml:mi> <mml:mo>,</mml:mo> <mml:mi>δ</mml:mi> <mml:mo>;</mml:mo> <mml:mi>z</mml:mi> <mml:mo stretchy=false>)</mml:mo> </mml:math> . The wave functions with the variation of the potential parameter a and angular momentum quantum number m are illustrated graphically." @default.
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- W4213428185 date "2022-02-24" @default.
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- W4213428185 title "Exact solutions of the 2D Schrödinger equation with the inverse square root potential" @default.
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