Open Access
March 2011 Operational Methods and Lorentz-Type Equations of Motion
Danilo Babusci, Giuseppe Dattoli, Elio Sabia
J. Phys. Math. 3: 1-17 (March 2011). DOI: 10.4303/jpm/P110601


We propose an operational method for the solution of differential equations involving vector products. The technique we propose is based on the use of the evolution operator, defined in such a way that the wealth of techniques developed within the context of quantum mechanics can also be exploited for classical problems. We discuss the application of the method to the solution of the Lorentz-type equations.


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Danilo Babusci. Giuseppe Dattoli. Elio Sabia. "Operational Methods and Lorentz-Type Equations of Motion." J. Phys. Math. 3 1 - 17, March 2011.


Published: March 2011
First available in Project Euclid: 29 January 2013

zbMATH: 1269.34008
Digital Object Identifier: 10.4303/jpm/P110601

Primary: 34A25 , 44A45 , 78A35

Keywords: Analytical theory , Classical operational calculus , General theory , integral transforms , Motion of charged particles , Optics , ordinary differential equations

Rights: Copyright © 2011 Ashdin Publishing (2009-2013) / OMICS International (2014-2016)

Vol.3 • March 2011
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