Anticommutator analogues of certain identities involving repeated commutators

Author

I Mendas and P Milutinovic

Affiliations

Inst. of Phys., Belgrade, Yugoslavia

Journal

Journal of Physics A: Mathematical and General Create an alert RSS this journal

Issue

Volume 23, Number 4

Citation

I Mendas and P Milutinovic 1990 J. Phys. A: Math. Gen. 23 537

doi: 10.1088/0305-4470/23/4/021


 
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Abstract

The generalization of the Baker-Hausdorff lemma and its anticommutator analogue is formulated. Additionally, the anticommutator analogues of several well known operator identities involving repeated commutators are derived. It is pointed out that these are more convenient for application whenever the operators in question satisfy simpler repeated anticommutator relations (and, in particular, when they anticommute) than the repeated commutator relations. The diagonalization of two spin-1 Hamiltonians, in which the anticommutator analogue of the Baker-Hausdorff lemma is used to good advantage, is presented.

 
PACS

03.65.-w Quantum mechanics

MSC

81S05 Commutation relations and statistics

Subjects

Quantum information and quantum mechanics

Dates

Issue 4 ( 21 February 1990)



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