GENERALIZED BAKER-HAUSDORFF FORMULA AND ITS APPLICATION
井思聪, 阮图南 · 中国科学通报：英文版 · 1989
Ⅰ. INTRODUCTION In quantum theories, we have to often make calculations of matrices. Baker-Hausdorff (B. H., for short,) formula is very useful in these calculations. Let A and B be two n-dimensional matrices, according to the B. H. formula, we may construct a new n-dimensional matrix C so that e~Ae~B=e~C. (1.1) In practice, we often expand the matrix C into a power series of A and B, whose first terms are