Erratum
D. S. Grebenkov, NMR Survey of Reflected Brownian Motion, Rev. Mod. Phys. 79, 1077-1137 (2007).
Nous apprenons de nos erreurs
Si vous trouvez une autre erreur, veullez me contacter directement à
denis.grebenkov@polytechnique.edu
12/12/2007
page 1087, Table I, line (L11), last column (results for a sphere)
In both formulas, the factor (2n+1) is missing in the
denominator (it comes from the normalization of the
Legendre polynomials).
27/12/2007
page 1111, the following statement after Eq. (153) is misprinted and thus erroneous:
It is clear now that the matrix in large square brackets is
real valued as the product of two matrices, one of them
being the complex conjugate of the other.
The correct phrase should sound:
It is clear now that the diagonal elements of the matrix in
large square brackets are real valued as the later is the product
of two matrices, one of them being the complex conjugate of the other.
Note that the statement about odd moments for antisymmetric profiles
remains valid for the uniform initial density. It may however be
false for nonuniform densities when other elements are involved.
20/04/2008
A recurrent (minor) error of conventional matter
The sign of the magnetic-field term in the Bloch-Torrey
equation (9) or (134) does not correspond to the sign of
the phase in definition (2) or (53) of the characteristic
function. In fact, the equation (134) corresponds to
E{exp(-iq\phi)}, not to E{exp(iq\phi)}.
This error came from the conventional writing of
the Bloch-Torrey equation and the characteristic
function. It does not affect any result related to
the even-order moments.
Pensez envoyer votre appréciation à denis.grebenkov@polytechnique.edu
Dernière mise à jour le 14/05/2008