expmint.m
Computes matrix exponential integrals of the following general type:
Integrate[expm(-i*A*t)*B*expm(i*C*t),{t,0,T}]
Matrix A must be Hermitian. For further info see the paper by Charles van Loan (http://dx.doi.org/10.1109/TAC.1978.1101743).
Contents
Syntax
R=expmint(spin_system,A,B,C,T)
Arguments
A,B,C - the three matrices involved in the integral T - integration time
Outputs
R - the resulting integral
Notes
The auxiliary matrix method is massively faster than either commutator series or diagonalisation.
See also
intrep.m, propagator.m, average.m, rotframe.m, dirdiff.m
Version 2.2, authors: Luke Edwards, David Goodwin, Ilya Kuprov