Using the idea that a quantum mechanical system drops to its ground state as its temperature goes to absolute zero several operators are devised to enable the approximation of the lowest order energy eigenstate of a given symmetry; as well as an approximation to the energy eigenvalue of the same order.
College and Department
Physical and Mathematical Sciences; Physics and Astronomy
BYU ScholarsArchive Citation
Junkermeier, Chad Everett, "Iteration Methods For Approximating The Lowest Order Energy Eigenstate of A Given Symmetry For One- and Two-Dimensional Systems" (2003). All Theses and Dissertations. 85.
approximation, eigenfunction, eigenvalue, Hamiltonian, iteration, iteration operator, quantum mechanics, eigenstate, energy eigenvalue