Results 171 to 180 of about 77,220 (199)
Some of the next articles are maybe not open access.
On the commutator formula of a split BN-pair
Pacific Journal of Mathematics, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
A Commutator Formula for Subnormal Tuples of Operators
Integral Equations and Operator Theory, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
On Commutation Formulas in the Algebra of Quantum Mechanics
Transactions of the American Mathematical Society, 1929It is the purpose of this paper to make a study of commutation formulas in the algebra of quantum mechanics. The theories of quantum mechanics introduced by Heisenbergt and Diract are different in their conception and formulation but both make use of a non-commutative algebra.
openaire +1 more source
Galois Groups, Abstract Commutators, and Hopf Formula
Applied Categorical Structures, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +3 more sources
A useful formula for evaluating commutators
Journal of Mathematical Physics, 1983We present the derivation of a useful formula for evaluating commutators of the form [A, f (B)] and [ f (A),B], where the nested commutators [A,[A,[⋅⋅⋅[A[A,B]]⋅⋅⋅]]] and [[[⋅⋅⋅[[A,B],B]⋅⋅⋅],B],B] do not vanish in general. The use of this formula is illustrated by a simple example.
openaire +2 more sources
Geometric Formula for Current-Algebra Commutation Relations
Physical Review, 1969Summary: A purely algebraic formalism is introduced in order to describe the relation between current algebras and Lagrangian field theory. It is then applied to the description in differential-geometric terms of the equal-time commutation relations for currents defined by Lagrangians derived from Riemannian metrics on internal-symmetry spaces.
openaire +2 more sources
A Commutator Formula for a Pair of Subgroups and A Theorem of Blackburn
Canadian Mathematical Bulletin, 1969Let be the lower central series of a group G, where K2(G) = [G, G] and inductively Kn+1(G) = [Kn (G), G]. A theorem of Blackburn ([1], Hilfssatz) states thatTheorem 1. The exponent of Kn+1 (G)/Kn+2 (G) divides the exponent of Kn (G)/Kn+1 (G).
openaire +1 more source
Anti-commutators and the related trace formulas
Integral Equations and Operator Theory, 1985The main results of this paper are that if A and B are bounded self- adjoint operators with trace class anti-commutator \(AB+BA\), then \(tr[A^ kB^{\ell},A^ mB^ n]=0\), where k, \(\ell\), m, n are non-negative integers with \(kn+\ell m\) even. The author even proved that if the bounded self-adjoint operator A and B with trace class anti-commutator also
openaire +1 more source
The commutation formulae in conformal Finsler space
Annali di Matematica Pura ed Applicata, 1968The commutation formulae in Finsler space have been studied by several authors. Various forms of these commutation formulae under the conformal change of a Finsler space have been obtained here.
openaire +2 more sources
The Baker–Campbell–Hausdorff formula and nested commutator identities
Journal of Mathematical Physics, 1991The coefficients of the Baker–Campbell–Hausdorff expansion are calculated by using various methods. Comparison of the results yields several remarkable identities satisfied by multiple commutators, which, in turn, allow us to greatly simplify the form of the expansion up to order eight.
openaire +1 more source