A no-go theorem for a Lie-consistent q-Campbell–Baker–Hausdorff expansion
- 1 November 1994
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 35 (11) , 6172-6178
- https://doi.org/10.1063/1.530736
Abstract
Lie consistency is defined for commutator expansions and it is shown that while a weakly Lie‐consistent q‐Campbell–Baker–Hausdorff expansion for a product of two M‐type (but not P‐type) q exponentials can be formulated, a strongly Lie‐consistent expansion only exists for the undeformed case, q=1.Keywords
This publication has 8 references indexed in Scilit:
- q-DEFORMED BAKER-CAMPBELL-HAUSDORFF FORMULAModern Physics Letters A, 1993
- Maximal reductions in the Baker–Hausdorff formulaJournal of Mathematical Physics, 1993
- Time evolution in quantum mechanics on the quantum linePhysics Letters A, 1992
- A q-analogue of the Campbell-Baker-Hausdorff expansionJournal of Physics A: General Physics, 1991
- q-deformed Jacobi identity, q-oscillators and q-deformed infinite-dimensional algebrasPhysics Letters B, 1990
- Canonical Equations and Symmetry Techniques forq-SeriesSIAM Journal on Mathematical Analysis, 1987
- A q-analog of the campbell-baker-hausdorff formulaDiscrete Mathematics, 1983
- Exponential Operators and Parameter Differentiation in Quantum PhysicsJournal of Mathematical Physics, 1967