Laplace transforms of Heisenberg operators in finite-dimensional spaces
Ф. С. Джепаров · OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information) · 1977
The integral X (lambda) =..integral../sup infinity//sub 0/ dt exp(-(lambda-iF) t)X exp(-iHt) and the solution to the matrix equation (lambda-iF) X (lambda)+iX (lambda) H=X, where F and H are Hermitian matrices of dimensionality M and N, respectively, are written as polynomials of order N-1 in H and M-1 in F. The coefficients are determined from the characteristic polynomials of the matrices F and H.