PNMS Mode B — Quantum Mechanics Branch: Φ_R Coupled to the Schrödinger Equation
Description
Branch document connecting the PNMS constructive operation (Mode B) to quantum mechanics. The document defines how the PNMS projection operator Φ_R is applied to systems described by the Schrödinger equation. It specifies the active quantities used in the analysis — binding energy, orbital radius, particle mass, orbital period, and state degeneracy — and identifies the corresponding rows in the PNMS reference basis. The document establishes the constraint relation
(|E| / E_p) · (a / l_p) = 3.6471 × 10⁻³
which defines the quantum-mechanical constraint surface for hydrogen bound states in PNMS signature space. It also defines the constructive operation used to generate and verify quantum states and introduces the quantum-mechanics case study series associated with this branch.
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Additional details
Related works
- Is supplement to
- Technical note: 10.5281/zenodo.18910952 (DOI)
References
- CODATA 2018 Recommended Values of the Fundamental Physical Constants.
- L. I. Schiff — Quantum Mechanics. J. J. Sakurai & J. Napolitano — Modern Quantum
- N. Bohr — On the Constitution of Atoms and Molecules, Philosophical Magazine (1913).
- E. Schrödinger — Quantisation as an Eigenvalue Problem, Annalen der Physik (1926).