Exponential operators, generalized polynomials and evolution problems

G. Dattoli, A.M. Mancho, M. Quattromini, A. Torre

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

The operator (d/dx)Χd/dx plays a central role in the theory of operational calculus. Its exponential form is crucial in problems relevant to solutions of Fokker-Planck and Schrödinger equations. We explore the formal properties of the evolution operators associated to (d/dx)Χd/dx, discuss its link to special forms of Laguerre polynomials and Laguerre-based functions. The obtained results are finally applied to specific problems concerning the solution of Fokker-Planck equations relevant to the beam lifetime in storage rings. © 2001 Elsevier Science Ltd.
Original languageEnglish
Pages (from-to)99 - 108
Number of pages10
JournalRadiation Physics and Chemistry
Volume61
Issue number2
DOIs
Publication statusPublished - 2001
Externally publishedYes

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All Science Journal Classification (ASJC) codes

  • Radiation

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