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

Besieris, IM; Shaarawi, AM; Ziolkowski, RW

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

Besieris, IM Shaarawi, AM Ziolkowski, RW

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Publication Type:: Chapter
Citation:: Non-diffracting Waves, 2013, pp. 189 - 209
Issue Date:: 2013-10-04

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Field	Value	Language
dc.contributor.author	Besieris, IM	en_US
dc.contributor.author	Shaarawi, AM	en_US
dc.contributor.author	Ziolkowski, RW https://orcid.org/0000-0003-4256-6902	en_US
dc.date.issued	2013-10-04	en_US
dc.identifier.citation	Non-diffracting Waves, 2013, pp. 189 - 209	en_US
dc.identifier.isbn	9783527411955	en_US
dc.identifier.uri	http://hdl.handle.net/10453/120193
dc.description.abstract	© 2014 Wiley-VCH Verlag GmbH & Co. KGaA. 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	en_US
dc.relation.ispartof	Non-diffracting Waves	en_US
dc.relation.isbasedon	10.1002/9783527671519.ch7	en_US
dc.rights	info:eu-repo/semantics/closedAccess
dc.title	Linearly traveling and accelerating localized wave solutions to the schrödinger and schrödinger-like equations	en_US
dc.type	Chapter
utslib.for	0206 Quantum Physics	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology/School of Electrical and Data Engineering
pubs.organisational-group	/University of Technology Sydney/Strength - GBDTC - Global Big Data Technologies
utslib.copyright.status	closed_access	*
pubs.publication-status	Published	en_US

Abstract:

© 2014 Wiley-VCH Verlag GmbH & Co. KGaA. 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

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http://hdl.handle.net/10453/120193