Fix dollar signs + add descendants section

# [SCI] Quantum Mechanics

**Quantum Mechanics** (1925–1930) is the fundamental theory of the microscopic world, describing how particles behave as waves with probabilistic outcomes, governed by the Schrödinger equation and the Heisenberg uncertainty principle.

## Overview

Heisenberg's matrix mechanics (1925) and Schrödinger's wave equation (1926) were shown to be equivalent by Dirac. Born's probabilistic interpretation (1926), Heisenberg's uncertainty principle (ΔxΔp ≥ ℏ/2), and Bohr's complementarity completed the Copenhagen interpretation. Dirac's relativistic equation (1928) predicted antimatter (confirmed 1932). QM explains atomic structure, chemical bonding, the periodic table, laser operation, transistors, and nuclear reactions.

## Key Figures & Recognition

- **Werner Heisenberg** (1901–1976): Matrix mechanics, uncertainty principle. **Nobel Prize 1932**.
- **Erwin Schrödinger** (1887–1961): Wave mechanics. **Nobel Prize 1933** (shared with Dirac).
- **Paul Dirac** (1902–1984): Relativistic QM, antimatter. **Nobel Prize 1933**.
- **Max Born** (1882–1970): Probabilistic interpretation. **Nobel Prize 1954**.
- **Niels Bohr** (1885–1962): Copenhagen interpretation. **Nobel Prize 1922**.

## Seminal Papers

- Heisenberg, W. ["Über quantentheoretische Umdeutung kinematischer und mechanischer Beziehungen." *Z. Phys.* 33 (1925)](https://doi.org/10.1007/BF01328377)
- Schrödinger, E. "Quantisierung als Eigenwertproblem." *Ann. Phys.* 79 (1926).
- Dirac, P.A.M. "The quantum theory of the electron." *Proc. R. Soc. A* 117 (1928).

## What This Enables
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- **[SCI] Nuclear Physics** — Nuclear binding, radioactive decay, and fission cross-sections are inherently quantum phenomena.
- **[SCI] Theory of Metals** — Fermi–Dirac statistics, Bloch wave functions, and band theory all require quantum mechanics.
- **[SCI] Semiconductor Physics** — Band gaps, doping effects, and transistor operation cannot be explained without quantum band theory.
- **[SCI] Laser Physics & Stimulated Emission** — Stimulated emission (Einstein, 1917) and population inversion are purely quantum phenomena.
- **[SCI] Quantum Field Theory (QED/QCD)** — QFT is the relativistic extension of QM — particles become excitations of quantum fields.
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# Parents

* [SCI] Blackbody Radiation & Planck's Law
* [SCI] Blackbody Radiation & Planck's Law
* [SCI] Atomic Structure & Spectroscopy