Linearly traveling and accelerating localized wave solutions to the schrödinger and schrödinger-like equations

Ioannis M. Besieris, Amr M. Shaarawi, Richard W Ziolkowski

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

Summary: This chapter demonstrates that one can derive nondispersive localized wave packet solutions to the Schrödinger equation. Two ansätze are formulated that allow a large class of infinite- and finite-energy, nonsingular, localized, linearly traveling wave solutions to the linear 3D Schrödinger equation to be obtained. The chapter provides an account of a broad class of finite-energy accelerating localized wave solutions to the 3D Schrödinger equation based on a generalization of previous work on one-dimensional (1D) infinite-energy nonspreading wave packets. It contains derivations of linearly traveling and accelerating localized wave solutions to 3D Schrödinger-like equations arising in propagation through transparent anomalous and normal dispersive media, with emphasis on analytical finite-energy wavepackets. Controlled Vocabulary Terms: Schrodinger equation

Original languageEnglish (US)
Title of host publicationNon-diffracting Waves
PublisherWiley-VCH Verlag
Pages189-209
Number of pages21
ISBN (Electronic)9783527671519
ISBN (Print)9783527411955
DOIs
StatePublished - Oct 4 2013

Keywords

  • Localized wave packet solutions
  • Schrödinger-like equations

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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