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Latin Symbols

Latin letters are heavily overloaded in quantum mechanics. This index records the default local meanings and the main collision warnings.

SymbolDefault Lookup MeaningCommon Collision
aaAnnihilation operator or amplitude-like coefficient, depending on context.Scattering length, lattice spacing, acceleration, index label.
hhPlanck constant.Step size, height, perturbation symbol.
ppMomentum value or momentum variable.Probability, pressure, pp orbital label.
xxOne-dimensional position coordinate.Position operator x^\hat x, dimensionless variable, random variable.

When a Latin symbol appears without explanation, inspect:

  • whether it is hatted, bold, indexed, or daggered;
  • whether it appears in an operator formula, coordinate representation, probability expression, or model Hamiltonian;
  • whether the page has changed units, such as setting ℏ=1\hbar=1;
  • whether the same letter is being used as both an operator and an eigenvalue.
  • D. J. Griffiths and D. F. Schroeter, Introduction to Quantum Mechanics, 3rd ed., Cambridge University Press, 2018.
  • J. J. Sakurai and J. Napolitano, Modern Quantum Mechanics, 3rd ed., Cambridge University Press, 2020.
  • R. Shankar, Principles of Quantum Mechanics, 2nd ed., Springer, 1994.