PNMS Mode B — Quantum Mechanics Branch: ΦR Coupled to the Schrödinger Equation

Branch document connecting the PNMS constructive operation (Mode B) to quantum mechanics. The document defines how the PNMS projection operator ΦR 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| / Eₚ) · (a / lₚ) = 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.