Superintegrability summary
А. Миронов, A. Morozov
Abstract
We enumerate generalizations of the superintegrability property <character>∼character and illuminate possible general structures behind them. We collect variations of original formulas available up to date, and emphasize the remaining difference between the cases of Hermitian and complex matrices, bosonic and fermionic ones. Especially important is that the story is in no way restricted to Gaussian potentials.
Topics & Concepts
PhysicsCharacter (mathematics)Property (philosophy)Hermitian matrixGaussianTheoretical physicsStatistical physicsPure mathematicsMathematical physicsQuantum mechanicsGeometryMathematicsEpistemologyPhilosophyQuantum Mechanics and Non-Hermitian PhysicsAlgebraic structures and combinatorial modelsMathematical functions and polynomials