Baker–Campbell–Hausdorff formula
Fórmula de Baker-Campbell-Hausdorff
- Date
- 1897-1906 · confidence low
- Place
- Leipzig, Germany
- Credited to
- H. F. Baker, John Edward Campbell y Felix Hausdorff
- Field
- Knowledge & symbols
What was discovered
A formula giving the element Z of a Lie algebra satisfying eˣeʸ=e^Z for generally noncommutative elements X and Y; developed progressively by John Edward Campbell (1897), Henry Frederick Baker (1905) and Felix Hausdorff (1906).
What it led to
- Fundamental tool in Lie group and Lie algebra theory
- Applications in quantum mechanics and representation theory
- Use in geometric numerical integration of differential equations