1 Matching Results
Results open in a new window/tab.
Results:
1 - 1 of
1
Compact Operators and the Schrödinger Equation
In this thesis I look at the theory of compact operators in a general Hilbert space, as well as the inverse of the Hamiltonian operator in the specific case of L2[a,b]. I show that this inverse is a compact, positive, and bounded linear operator. Also the eigenfunctions of this operator form a basis for the space of continuous functions as a subspace of L2[a,b]. A numerical method is proposed to solve for these eigenfunctions when the Hamiltonian is considered as an operator on Rn. The paper finishes with a discussion of examples of Schrödinger equations and the solutions.
Date:
December 2006
Creator:
Kazemi, Parimah
System:
The UNT Digital Library