Difference between revisions of "Expmint.m"
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| + | {{DISPLAYTITLE:expmint.m}} | ||
Computes matrix exponential integrals of the following general type: | Computes matrix exponential integrals of the following general type: | ||
Integrate[expm(-i*A*t)*B*expm(i*C*t),{t,0,T}] | Integrate[expm(-i*A*t)*B*expm(i*C*t),{t,0,T}] | ||
| − | Matrix A must be Hermitian. For further | + | Matrix A must be Hermitian. For further info see the paper by Charles van Loan (http://dx.doi.org/10.1109/TAC.1978.1101743). |
| − | Charles van Loan (http://dx.doi.org/10.1109/TAC.1978.1101743). | ||
| − | + | ==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 | ||
| + | |||
| + | ==See also== | ||
| + | [[intrep.m]], [[propagator.m]], [[average.m]] | ||
| + | |||
| + | |||
| + | ''Version 2.2, authors: [[Luke Edwards]], [[David Goodwin]], [[Ilya Kuprov]]'' | ||
Revision as of 16:54, 27 August 2018
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
See also
intrep.m, propagator.m, average.m
Version 2.2, authors: Luke Edwards, David Goodwin, Ilya Kuprov
