https://doi.org/10.1007/s100530050205
Calculation of Wannier-Bloch and Wannier-Stark states
1
Fachbereich Physik, Universität Kaiserslautern, 67653 Kaiserslautern,
Germany
2
Department of Chemistry and Minerva Center for Non Linear Physics of
Complex Systems,
Technion -Israel Institute of Technology, Haifa 32000, Israel
Corresponding author: a Korsch@physik.uni-kl.de
Received:
27
April
1998
Revised:
21
July
1998
Accepted:
3
August
1998
Published online: 15 December 1998
The paper discusses the metastable states of a quantum particle in a periodic potential under a constant force (the model of a crystal electron in a homogeneous electric field), which are known as the Wannier-Stark ladder of resonances. An efficient procedure to find the positions and widths of resonances is suggested and illustrated by numerical calculations for a cosine potential, which are in excellent agreement with complex scaling resonance energies.
PACS: 03.65.-w – Quantum mechanics / 73.40.Gk – Tunneling / 73.20.Dx – Electron states in low-dimensional structures (superlattices, quantum well structures and multilayers)
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 1998
