Applications of wavelets to quantum mechanics: A pedagogical example

Fabio Bagarello

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.

Lingua originale	English
pagine (da-a)	565-576
Numero di pagine	12
Rivista	JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL
Volume	29
Stato di pubblicazione	Published - 1996

All Science Journal Classification (ASJC) codes

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

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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. {\textcopyright} 1996 IOP Publishing Ltd.",

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AB - 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.

UR - http://hdl.handle.net/10447/198757

M3 - Article

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EP - 576

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

SN - 0305-4470

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