## 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 language | English (US) |
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Title of host publication | Non-diffracting Waves |

Publisher | Wiley-VCH Verlag |

Pages | 189-209 |

Number of pages | 21 |

ISBN (Electronic) | 9783527671519 |

ISBN (Print) | 9783527411955 |

DOIs | |

State | Published - Oct 4 2013 |

## Keywords

- Localized wave packet solutions
- Schrödinger-like equations

## ASJC Scopus subject areas

- Physics and Astronomy(all)