“Trotter product formula”. Consider \(n \times n\) complex matrices \(A\), \(B\). Prove that \(e^{A+B} = \lim_{N \to \infty} \left(e^{A/N} e^{B/N}\right)^N\), \(N \in \mathbb{R}\).
Lie--Trotter product formula
P-TRIV-LA36
- Area
- Prelim
- Status
- draft
P-TRIV-LA36
“Trotter product formula”. Consider \(n \times n\) complex matrices \(A\), \(B\). Prove that \(e^{A+B} = \lim_{N \to \infty} \left(e^{A/N} e^{B/N}\right)^N\), \(N \in \mathbb{R}\).