Electrical Resonance Circuits as Analogs to Quantum Mechanical Billiards

• Authors: K Berggren , J. Larsson , O. Bengtsson
• Languages of publication: EN

Abstracts

EN

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 jω-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.

Keywords

EN

05.45.Mt; 73.63.Kv; 84.30.-r; 89.20.-a

Discipline

• 89.20.-a: Interdisciplinary applications of physics
• 84.30.-r: Electronic circuits(for integrated circuits, see 85.40.-e, for microwave circuits, see 84.40.Dc)
• 73.63.Kv: Quantum dots
• 05.45.Mt: Quantum chaos; semiclassical methods

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2006
• Volume: 109
• Issue: 1
• Pages: 33-42

Dates

published

2006-01

received

2005-05-19

Contributors

author

K Berggren

• Department of Physics and Measurement Technology, Linköping University, 58183 Linköping, Sweden

author

J. Larsson

• Department of Physics and Measurement Technology, Linköping University, 58183 Linköping, Sweden

author

O. Bengtsson

• Department of Physics and Measurement Technology, Linköping University, 58183 Linköping, Sweden

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Identifiers

DOI

10.12693/APhysPolA.109.33