Self-accelerating parabolic cylinder waves in 1-D

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Yuce C.

PHYSICS LETTERS A, vol.380, no.45, pp.3791-3795, 2016 (SCI-Expanded) identifier identifier identifier

  • Publication Type: Article / Article
  • Volume: 380 Issue: 45
  • Publication Date: 2016
  • Doi Number: 10.1016/j.physleta.2016.09.030
  • Journal Name: PHYSICS LETTERS A
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.3791-3795
  • Anadolu University Affiliated: Yes

Abstract

We introduce a new self-accelerating wave packet solution of the Schrodinger equation in one dimension. We obtain an exact analytical parabolic cylinder wave for the inverted harmonic potential. We show that truncated parabolic cylinder waves exhibits their accelerating feature. (C) 2016 Elsevier B.V. All rights reserved.