Applications of wavelets to quantum mechanics: A pedagogical example

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Abstract

We discuss in great detail two quantum mechanical models of planar electrons which are very much related to the fractional quantum Hall effect. In particular, we discuss the localization properties of the trial ground states of the models starting from considerations on the numerical results on the energy. We conclude that wavelet theory can be conveniently used in the description of the system. Finally we suggest applications of our results to the fractional quantum Hall effect. © 1996 IOP Publishing Ltd.
Original languageEnglish
Pages (from-to)565-576
Number of pages12
JournalJOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL
Volume29
Publication statusPublished - 1996

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)

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