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Quantum Mechanics Formulary

A multi-page lecture formulary for a fictional theoretical-physics institute, built from one declarative JSON source. It runs the in-house math engine across a graduate quantum-mechanics syllabus and dresses the result as a real publication.

  • Dirac notation. Bra-ket states, inner products and projectors — ⟨φ|ψ⟩, the completeness relation sum_{n} |n⟩⟨n| = 1 — with the adjoint dagger and operator hats (hat{A}^{†}).
  • Operator algebra and dynamics. Commutators, the canonical relation [hat{x}, hat{p}] = i hbar, the time-dependent and stationary Schrödinger equations, and harmonic-oscillator ladder operators with sqrt{n + 1} matrix elements.
  • 2-D matrix layout. The three Pauli matrices set as real two-by-two brackets ([[0, 1], [1, 0]]), laid out three across.
  • From mechanics to fields. The path integral as a sum over histories, the Klein-Gordon Lagrangian density, and the Dirac equation with gamma matrices gamma^{mu}.
  • Dressed as a publication. A drawn academic crest, a SPECIMEN watermark, a DotCode verification mark in the masthead, and a vertical EAN-13 ISSN spine mounted in the margin via a rotated canvas group.

Glyphs are positioned from the font's OpenType MATH table and written into the PDF as selectable, searchable text — never a flattened image. Where a symbol falls outside Latin Modern Math, the STIX coverage font supplies it.

Features used: Shortcodes, Tables, Columns, Canvas, Barcodes, Watermarks, Headers & Footers, Styles