Bridges to Modern Volumes
The historical record does not derive the modern postulates line by line. It explains why the postulates have the shape they do. This chapter connects experimental pressure to the modern volumes without duplicating their canonical derivations.
Current Page
Section titled “Current Page”- From Evidence to Postulates maps spectra, matter waves, matrix mechanics, Born’s rule, Stern–Gerlach, and EPR-type reasoning to the structures of the formalism.
- From Old Quantum Theory to Hilbert Space explains how quantum numbers, action rules, wavefunctions, and matrices were reorganized into abstract state space.
- From Matter Waves to Schrödinger Equation explains how de Broglie relations, dispersion, wave mechanics, and Hamiltonian evolution connect.
- From Spectra to Atomic Physics shows how spectral lines, Rydberg patterns, Bohr theory, the Schrödinger hydrogen atom, and transition amplitudes lead into modern AMO physics.
- From Spin Experiments to Spin Formalism connects Stern–Gerlach splitting, two-level spinors, Pauli matrices, SU(2) rotations, and qubit language.
- From Quantum Statistics to Fock Space explains how indistinguishable-particle counting, exchange symmetry, occupation numbers, and creation operators lead to Fock space.
- From Photon Evidence to QFT connects light quanta, photon momentum, quantum-optical states, changing photon number, and field modes.
- From Bell Experiments to Quantum Information maps EPR correlations, Bell inequality violations, no-signaling, device-independent protocols, and entanglement resources.
Canonical Boundary
Section titled “Canonical Boundary”Bridge pages are not substitute postulate pages. For compact formal statements, use Minimal Postulates. For spin, use Symmetry, Angular Momentum, and Spin. For reusable tables and named experiments, use the Reference.
Cross-Links
Section titled “Cross-Links”- Evidence Map
- From Experiments to Formalism
- Atomic Structure and Spectra
- What the Formalism Is
- Why Postulates Matter
- What Spin Is
- Entanglement in Quantum Information
References
Section titled “References”- P. A. M. Dirac, The Principles of Quantum Mechanics, 4th ed., Oxford University Press, 1958.
- J. von Neumann, Mathematical Foundations of Quantum Mechanics, Princeton University Press, 1955.
- M. Jammer, The Conceptual Development of Quantum Mechanics, 2nd ed., American Institute of Physics, 1989.