Heisenberg–Weyl algebra revisited: combinatorics of words and paths
Heisenberg–Weyl algebra revisited: combinatorics of words and paths
The Heisenberg–Weyl algebra, which underlies virtually all physical representations of quantum theory, is considered from the combinatorial point of view. We provide a concrete model of the algebra in terms of paths on a lattice with some decomposition rules. We also discuss the rook problem on the associated Ferrers board; …