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Calculation of Wannier-Bloch and Wannier-Stark states |
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| Authors: | M Glück AR Kolovsky HJ Korsch N Moiseyev |
| Institution: | Fachbereich Physik, Universit?t Kaiserslautern, 67653 Kaiserslautern, Germany, DE Department of Chemistry and Minerva Center for Non Linear Physics of Complex Systems, Technion - Israel Institute of Technology, Haifa 32000, Israel, IL |
| Abstract: | 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. Received: 27 April 1998 / Revised: 21 July 1998 / Accepted: 3 August 1998 |
| Keywords: | 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) |
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