Electrical Resonance Circuits as Analogs to Quantum Mechanical Billiards |
| K.F. Berggren, J. Larsson and O. Bengtsson
Department of Physics and Measurement Technology, Linköping University, 58183 Linköping, Sweden |
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| Received: 19 05 2005; |
| We propose that a two-dimensional electric network may be used for fundamental studies of wave function properties, transport, and related statistics. Using Kirchhoff's current law and the j®:-method we find that the network is analogous to a discretized Schrödinger equation for quantum billiards and dots. Thus the complex electric potentials play the role of quantum mechanical wave functions. |
| DOI: 10.12693/APhysPolA.109.33 PACS numbers:05.45.Mt, 73.63.Kv, 84.30.-r, 89.20.-a |