IJPAM: Volume 69, No. 4 (2011)

SOME QUANTUM MECHANICAL EVIDENCE FOR
THE AMPLIFICATION OF THERMAL NOISE
IN AN ELECTROSTATIC FIELD

Eugen Grycko$^1$, Werner Kirsch$^2$, Tobias Mühlenbruch$^3$
$^{1,2,3}$Department of Mathematics and Computer Science
University of Hagen
125, Lützowstr., Hagen, D-58094, GERMANY
$^1$email: [email protected]
$^2$email: [email protected]
$^3$email: [email protected]


Abstract. Recently the phenomenon of thermal noise amplification in a conductor exposed to an electrostatic field has been discovered in a laboratory experiment. The challenge behind the present contribution is a qualitative explanation of this phenomenon based on a quantum mechanical model. It turns out that the amplification of thermal noise in an conductor complies with computations concerning a tight binding model of an electron confined to a lattice which is interpreted as the quantum mechanical position space; the dependence of the thermal noise level on the strength of an external electrostatic field is explored in a computer experiment providing theoretical evidence for the physical phenomenon.

Received: March 15, 2011

AMS Subject Classification: 81V99, 81-04

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

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2011
Volume: 69
Issue: 4