In theoretical physics, a supercharge is a generator of supersymmetry transformations. Theoretical physics employs Mathematical models and Abstractions of Physics in an attempt to explain experimental data taken of the natural world In Particle physics, supersymmetry (often abbreviated SUSY) is a Symmetry that relates elementary particles of one spin to another particle that

Intuitive meaning

Supercharge, denoted by the symbol Q, is an operator which transforms bosons into fermions, and vice versa. In Particle physics, bosons are particles which obey Bose-Einstein statistics; they are named after Satyendra Nath Bose and Albert Einstein In Particle physics, fermions are particles which obey Fermi-Dirac statistics; they are named after Enrico Fermi. Since the supercharge operator changes a particle with spin one half to a particle with spin one or zero, the supercharge itself is a spinor that carries one half unit of spin. In Quantum mechanics, spin is a fundamental property of atomic nuclei, Hadrons and Elementary particles For particles with non-zero spin In Mathematics and Physics, in particular in the theory of the Orthogonal groups spinors are elements of a complex vector space introduced to expand the ^[1]

Commutation

Supercharge commutes with the Hamiltonian operator, such that

[ Q , H ] = 0

References

1. ^ Supersymmetry to the rescue?