FindMinimum and NIntegrate

*To*: mathgroup at smc.vnet.net*Subject*: [mg2728] FindMinimum and NIntegrate*From*: CHAN MUN CHOONG <sci20312 at cobra.nus.sg>*Date*: Sat, 9 Dec 1995 01:57:12 -0500

This is my first time using Mathematica and I have read the book "Mathematica : A System for Doing Mathematics by Computer" written by Stephen Wolfram. I find the examples for each function in the book simple and straight forward. If I want to know what the package can really do, which book should be recommended? Is it possible to use Mathematica to calculate the eigenvalues of a Hamiltonian following a variational approach on a trial wave function with a square well. I am trying to use FindMinimum to numerically minimize the the eigenvalues with respect to three parameters; alpha, beta, and gamma. But the problem is that I do not know what optimization method is FindMinimum based on. I have read the book and found no mention of the method used. I also have integration inside the equation. Can FindMinimum handle it? What method is NIntegrate based on? Do I use Integrate or NIntegrate inside fuction FindMinimum? Can someone please help to clarify. Thanks.