Hydrogen Atom Tables: Find Zeros of Spherical Bessel Function

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SUMMARY

The discussion centers on the difficulty of finding comprehensive tables for specific mathematical functions related to quantum mechanics, particularly the zeros of the Spherical Bessel Function, Normalized Spherical Harmonics, and Associated Legendre Polynomials. The user expresses frustration over the lack of resources available online, especially for values beyond n=2. They mention a specific resource, the website http://people.math.sfu.ca/~cbm/aands/, which contains a wide array of mathematical functions that may include the needed tables.

PREREQUISITES
  • Understanding of quantum mechanics concepts, particularly related to hydrogen atoms.
  • Familiarity with Spherical Bessel Functions and their applications.
  • Knowledge of Normalized Spherical Harmonics and Associated Legendre Polynomials.
  • Basic skills in mathematical research and resource identification.
NEXT STEPS
  • Research the properties and applications of Spherical Bessel Functions in quantum mechanics.
  • Explore the website http://people.math.sfu.ca/~cbm/aands/ for mathematical function tables.
  • Study the derivation and significance of Normalized Spherical Harmonics.
  • Investigate methods for calculating zeros of Associated Legendre Polynomials.
USEFUL FOR

Students and researchers in quantum mechanics, mathematicians seeking comprehensive function tables, and anyone preparing for exams involving hydrogen atom models and related mathematical functions.

Matthollyw00d
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I've searched google for some decent tables but couldn't find any. I'm trying to collect
Normalized Spherical Harmonics
Associated Legendre Polynomials
Zeros of the Spherical Bessel Function
Normalized Radius Function for the Hydrogen atom
etc.

I'm allowed a sheet with as much of these as we can fit on it for my next quantum test, so I'm trying to find them, but they are just NOWHERE online past like n=2 (if at all). And I do realize I could create my own, but my time is better spent doing something else besides menial math (I don't use symbolic solvers).

Thanks for the links/tables (hopefully)!
 
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