B. Lassen*, M. Willatzen, R. Melnik
Mads Clausen Institute for Product Innovation, University of Southern Denmark, Grundtvigs Allé 150, DK-6400 Sønderborg, Denmark
ABSTRACT
In this paper a general method of treating Hamiltonians of deformed nanoscale systems is proposed. This method is used to derive a second-order strain Hamiltonian. As an example, energies for a one-dimensional strained Krönig- Penney potential are calculated with exact, first-order, and second-order strain Hamiltonians.
Keywords:
Deformations; Nonlinear strain effects; Quantum mechanics; Crystal Hamiltonian; Krönig-Penney model; Taylor series expansion