Numeerisen analyysin ja laskennallisen tieteen seminaari

28.2.2005  klo 14.15  U322


Ari Harju, Fysiikan laboratorio

From many-body Schrödinger equation to mathematics

The Schrödinger equation is a cornerstone of quantum physics. The basic,  one particle, version of it can easily be generalized to several interacting particles. This, however, results a high dimensional  "many-body" problem that is difficult to solve. The most straightforward  way is to find the solution in a basis of non-interacting many-body states. This leads to solving eigenvalues and -vectors of a large, sparse matrix. The solution can also be found on a more compact, correlated  basis. This gives a smaller eigenproblem but the matrix elements are more difficult to find in this case.