Polynomial relations in the Heisenberg algebra
/ Authors
/ Abstract
Polynomial relations between the generators of the classical and quantum Heisenberg algebras are presented. Some of those relations can have the meaning of the formulas of the normal ordering for the creation/annihilation operators which occur in the method of the second quantization. Polynomial relations of a special type invariant under quantization and q deformation are discovered.
Journal: Journal of Mathematical Physics
DOI: 10.1063/1.530733