• Overview ▶
    • What this is.
    • The shape.
    • On admissions (“sorries”).
    • A note on Physlib.
  • 1 Foundations: the shared backend ▶
    • 1.1 Labeled decompositions
    • 1.2 The highest-weight / Weyl boundary
  • 2 System structures ▶
    • 2.1 Bosonic CCR / Fock
    • 2.2 \(\mathfrak {sl}_2\), angular momentum, and commuting pairs
    • 2.3 The orthogonal engine
  • 3 The harmonic oscillator ▶
    • 3.1 Schwartz space
    • 3.2 Spectrum: the one analytic admission
    • 3.3 The Hamiltonian
    • 3.4 Classification and quantum numbers
    • 3.5 Summary leaves
  • 4 The hydrogen atom, general dimension ▶
    • 4.1 The concrete operators
    • 4.2 Schwartz space
    • 4.3 Spectrum: the one analytic admission
    • 4.4 Classification
    • 4.5 Quantum numbers
    • 4.6 Summary leaves
  • 5 The exceptional case: \(d=3\) ▶
    • 5.1 The \(\mathfrak {so}_4\) decoupling
    • 5.2 Spectrum: the capstone, three admissions
  • Dependency graph

QuantumRepresentationTheory

Tom Ole Diem

  • Overview
    • What this is.
    • The shape.
    • On admissions (“sorries”).
    • A note on Physlib.
  • 1 Foundations: the shared backend
    • 1.1 Labeled decompositions
    • 1.2 The highest-weight / Weyl boundary
  • 2 System structures
    • 2.1 Bosonic CCR / Fock
    • 2.2 \(\mathfrak {sl}_2\), angular momentum, and commuting pairs
    • 2.3 The orthogonal engine
  • 3 The harmonic oscillator
    • 3.1 Schwartz space
    • 3.2 Spectrum: the one analytic admission
    • 3.3 The Hamiltonian
    • 3.4 Classification and quantum numbers
    • 3.5 Summary leaves
  • 4 The hydrogen atom, general dimension
    • 4.1 The concrete operators
    • 4.2 Schwartz space
    • 4.3 Spectrum: the one analytic admission
    • 4.4 Classification
    • 4.5 Quantum numbers
    • 4.6 Summary leaves
  • 5 The exceptional case: \(d=3\)
    • 5.1 The \(\mathfrak {so}_4\) decoupling
    • 5.2 Spectrum: the capstone, three admissions