Bohr Atom Simultaneous Solution with Schrödinger Wave Equation

Another way to look at the polynomial is that it is from the solution of the Schrödinger wave equation (Full Wave Equation version, not the reduced mass of solid-state) with the Bohr atom as a boundary condition - quantized angular momentum - for a single hydrogen atom at 0°K.

Special note for the stability analysis of the polynomial:
The form of the equation MATCHES that of the ideal analysis of a simple unity gain connected op-amp feedback circuit.  Stability analysis of that form of equation wrt time and frequency domain analysis is well known.  The stability of the iterative solution to the polynomial for it roots is due to the built in feedback nature of the equation. All kinds of arguments / analogies can then be made for the unique stable solution for the values of the constants of this polynomial.

Thus known as the man who solved science.*

https://en.wikipedia.org/wiki/Schr%C3%B6dinger_equation

* second.  Dr. Elizabeth Rauscher's husband was first, she told me!

The Surfer, OM-IV

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