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What is the v(p) polynomial in radial wave function

  1. Nov 22, 2013 #1
    I think the solution to the radial schrodinger equation includes a form of the Laguerre polynomials, the polynomial v(ρ). Does anyone know what this v(ρ) polynomial is called? The only information my book gives is: "The polynomial v(ρ) is a function well known to applied mathematicians."

    Also, I noticed that when solving for the coefficients of v(ρ), we used a quantity called j[itex]_{max}[/itex]=n-l-1. Then the value of j[itex]_{max}[/itex] would coincide with the degree of the polynomial. But why does the degree of the polynomial depend on the values of quantum numbers n and l?
  2. jcsd
  3. Nov 22, 2013 #2


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    They're known as associated Laguerre polynomials.

    It's the other way around, isn't it? The relationship states that the quantum number n depends on ℓ and jmax.
  4. Nov 22, 2013 #3
    Thanks Bill_K for the reply... I appreciate it!
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