Re: eigenvector rotation

*To*: mathgroup at smc.vnet.net*Subject*: [mg46673] Re: eigenvector rotation*From*: "Steve Luttrell" <steve1 at _removemefirst_luttrell.org.uk>*Date*: Fri, 27 Feb 2004 19:32:01 -0500 (EST)*References*: <c1luu7$o16$1@smc.vnet.net>*Sender*: owner-wri-mathgroup at wolfram.com

If you multiply all of the eigenvectors of a Hermitian matrix H by Exp[I theta] where theta is real then you still have a valid set of eigenvectors (i.e. they satisfy the H xi = lambdai xi, and the orthonormality conditions <xi|xj> = KroneckerDelta[i,j] are satisfied). That means that the value of theta is arbitrary so Mathematica can use any theta she wants, and you can then multiply Mathematica's result by your own Exp[I theta]. Steve Luttrell "Bettina" <bho at em.uni-karlsruhe.de> wrote in message news:c1luu7$o16$1 at smc.vnet.net... > Hi > It seems, that when I calculate the eigensystem of a complex Hermitian > matrix, th eigenvectors get rotated automatically in such a way, that > the highest absolute valued eigenvector component becomes real. Since I > need the unrotated result, how do I switch off this feature? > Thanks for the help. > Best regards > Bettina >