IJPAM: Volume 107, No. 3 (2016)

A SEMICLASSICAL APPROACH TO OHM'S LAW

Eugen Grycko$^1$, Werner Kirsch$^2$, Tobias Mühlenbruch$^3$
$^{1,2,3}$Department of Mathematics and Computer Science
University of Hagen
Universtätsstr. 1
D-58094, Hagen, GERMANY


Abstract. A voltage source is modeled by a semiclassical perturbation of the quantum momentum operator. Applying the quantum formalism we obtain a formula for the electric current in a 1-dimensional piece of metal. It turns out that for the model based dependence between voltage and current Ohm's law is valid for a realistic range of voltages.

Received: February 22, 2016

AMS Subject Classification: 81V99, 81-04

Key Words and Phrases: Hamiltonian, quantum Gibbs state, expectation of the velocity operator

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DOI: 10.12732/ijpam.v107i3.16 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 107
Issue: 3
Pages: 683 - 690


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CC BY This work is licensed under the Creative Commons Attribution International License (CC BY).