Re: Solve the eigenvalues of the matrix A1,thx!~
- To: mathgroup at smc.vnet.net
- Subject: [mg123530] Re: Solve the eigenvalues of the matrix A1,thx!~
- From: "Dr. Wolfgang Hintze" <weh at snafu.de>
- Date: Sat, 10 Dec 2011 07:29:16 -0500 (EST)
- Delivered-to: l-mathgroup@mail-archive0.wolfram.com
- References: <jbq44s$iru$1@smc.vnet.net>
First of all, you must drop //MatrixForm from the definition of A1. Furthermore I'd suggest to use simple symbols (h instead of \[HBar] etc.). I had then no diffuculties to execute Eigenvalues[A1]. The result is given as a list of Roots[] commands. It is also useful to put in some numerical data for the parameters in order to see results. Regards, Wolfgang "? ?" <z.tong1017 at gmail.com> schrieb im Newsbeitrag news:jbq44s$iru$1 at smc.vnet.net... > A1 = {{-1/2*S22*\[Chi]^2 + I*a21*\[Chi], > I/(2*\[HBar])*\[CapitalDelta], -I/(2*\[HBar])*\[CapitalDelta], > 0}, {I/(2*\[HBar])*\[CapitalDelta], > 2*S12/\[HBar] - S22*X^2/2 - 2*S11/\[HBar] - > I*\[Epsilon]/\[HBar] - 2*I*\[Lambda]/\[HBar], > 0, -I/(2*\[HBar])*\[CapitalDelta]}, {-I/(2*\[HBar])*\ > \[CapitalDelta], > 0, -2*S12/\[HBar] - S22*X^2/2 - 2*S11/\[HBar] + > I*\[Epsilon]/\[HBar] + 2*I*\[Lambda]/\[HBar], > I/(2*\[HBar])*\[CapitalDelta]}, {0, \ > -I/(2*\[HBar])*\[CapitalDelta], > I/(2*\[HBar])*\[CapitalDelta], -1/2*S22*\[Chi]^2 + > I*a21*\[Chi]}} // MatrixForm > ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ > Copy above these into mathematica~ >