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.