Heisenberg algebra

Heisenberg algebra

[′hīz·ən·bərg ‚al·jə·brə]
(quantum mechanics)
The Lie algebra formed by the operators of position and momentum.
References in periodicals archive ?
We recall that A(n) denotes the abelian Lie algebra of dimension n and the main results of [2, 5, 6, 7, 11, 18, 19] illustrate that many inequalities on dim M(L) become equalities if and only if L splits in the sums of A(n) and of a Heisenberg algebra H(m) (here m [greater than or equal to] 1 is a given integer).
We consider the generalized Heisenberg algebra, which is a (2n + 1)-dimensional Lie algebra G given, with respect to a basis {[x.
Finally, the modified Heisenberg algebra can be read from the following C-space commutators
The first is the canonical commutation relations of the infinite-dimensional Heisenberg algebra, or oscillator algebra.
His topics include the octahedral group and the octahedral double group, Lie groups and Lie algebras, Coxeter's reflection groups, ALE spaces and gravitational instantons, knots and links and braids, elliptic curves and the monster group, sphere packing and error-correcting codes, the holographic principle, Calabi-Yau spaces and mirror symmetry, and Heisenberg algebras.