Concept

List of mathematical topics in quantum theory

Summary
This is a list of mathematical topics in quantum theory, by Wikipedia page. See also list of functional analysis topics, list of Lie group topics, list of quantum-mechanical systems with analytical solutions. Mathematical formulation of quantum mechanics
  • bra–ket notation
  • canonical commutation relation
  • complete set of commuting observables
  • Heisenberg picture
  • Hilbert space
  • Interaction picture
  • Measurement in quantum mechanics
  • quantum field theory
  • quantum logic
  • quantum operation
  • Schrödinger picture
  • semiclassical
  • statistical ensemble
  • wavefunction
  • wave–particle duality
  • Wightman axioms
  • WKB approximation
Schrödinger equation
  • quantum mechanics, matrix mechanics, Hamiltonian (quantum mechanics)
  • particle in a box
  • particle in a ring
  • particle in a spherically symmetric potential
  • quantum harmonic oscillator
  • hydrogen atom
  • ring wave guide
  • particle in a one-dimensional lattice (periodic potential)
  • Fock symmetry in theory of hydr
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