Abstract

In this paper, we study oscillating solutions of the 1D-quintic nonlinear Schrödinger equation with the help of Wigner's quasiprobability distribution in quantum phase space. An "absolute squeezing property", namely a periodic in time total localization of wave packets at some finite spatial points without violation of the Heisenberg uncertainty principle, is analyzed in this nonlinear model.

Original languageEnglish (US)
Article number1350013
JournalJournal of Nonlinear Optical Physics and Materials
Volume22
Issue number2
DOIs
StatePublished - Jun 2013

Fingerprint

Wave packets
compressing
Nonlinear equations
wave packets
nonlinear equations
Uncertainty

Keywords

  • Heisenberg uncertainty relation
  • One-dimensional quintic nonlinear Schrödinger equation
  • Tonks-Girardeau gas of impenetrable bosons
  • Traveling wave and blow up solutions
  • Wigner function

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Electronic, Optical and Magnetic Materials
  • Physics and Astronomy (miscellaneous)

Cite this

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title = "Wigner function approach to oscillating solutions of the quintic nonlinear schr{\"o}dinger equation",
abstract = "In this paper, we study oscillating solutions of the 1D-quintic nonlinear Schr{\"o}dinger equation with the help of Wigner's quasiprobability distribution in quantum phase space. An {"}absolute squeezing property{"}, namely a periodic in time total localization of wave packets at some finite spatial points without violation of the Heisenberg uncertainty principle, is analyzed in this nonlinear model.",
keywords = "Heisenberg uncertainty relation, One-dimensional quintic nonlinear Schr{\"o}dinger equation, Tonks-Girardeau gas of impenetrable bosons, Traveling wave and blow up solutions, Wigner function",
author = "Alex Mahalov and Sergei Suslov",
year = "2013",
month = "6",
doi = "10.1142/S0218863513500136",
language = "English (US)",
volume = "22",
journal = "Journal of Nonlinear Optical Physics and Materials",
issn = "0218-8635",
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AU - Suslov, Sergei

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AB - In this paper, we study oscillating solutions of the 1D-quintic nonlinear Schrödinger equation with the help of Wigner's quasiprobability distribution in quantum phase space. An "absolute squeezing property", namely a periodic in time total localization of wave packets at some finite spatial points without violation of the Heisenberg uncertainty principle, is analyzed in this nonlinear model.

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KW - Tonks-Girardeau gas of impenetrable bosons

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