Hydrogen Atom Tables: Find Zeros of Spherical Bessel Function

In summary, Hydrogen Atom Tables are used to find the zeros of the Spherical Bessel Function, which is a mathematical function that describes the behavior of a hydrogen atom. These tables list the zeros of the function for different values of the atom's quantum numbers, allowing for easy and accurate calculations in quantum mechanics and atomic physics. They are an essential tool for understanding the structure and behavior of hydrogen atoms and other systems that can be described using the Spherical Bessel Function.
  • #1
Matthollyw00d
92
0
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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  • #2

1. What is a Hydrogen Atom Table?

A Hydrogen Atom Table is a table that displays the values of the zeros of the Spherical Bessel Function for different values of the atomic number (Z) and principal quantum number (n). It is used in quantum mechanics to study the properties of the hydrogen atom.

2. Why is it important to find the zeros of the Spherical Bessel Function?

The zeros of the Spherical Bessel Function are important because they represent the energy levels of the hydrogen atom. By finding these zeros, scientists can study the behavior of electrons in the atom and make predictions about its properties.

3. How are Hydrogen Atom Tables created?

Hydrogen Atom Tables are created by solving the Spherical Bessel Equation, which describes the behavior of the hydrogen atom. This equation is solved numerically using advanced mathematical techniques and the resulting data is organized into a table for easy reference.

4. Can Hydrogen Atom Tables be used for atoms other than hydrogen?

Yes, Hydrogen Atom Tables can be used for atoms other than hydrogen. The values of the zeros of the Spherical Bessel Function will be different for each atom, but the same principles and techniques can be applied to create tables for other atoms.

5. How are Hydrogen Atom Tables used in scientific research?

Hydrogen Atom Tables are used in scientific research to study the behavior of electrons in the hydrogen atom. They are also used to make predictions about the properties of other atoms and to better understand quantum mechanics. Additionally, these tables are used in practical applications such as designing electronic devices and analyzing spectroscopy data.

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