Study Hankel Transforms and Properties of Bessel Function via Entangled State Representation Transformation in Quantum Mechanics

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Published under licence by IOP Publishing Ltd
, , Citation Fan Hong-Yi and Wang Yong 2006 Commun. Theor. Phys. 45 819 DOI 10.1088/0253-6102/45/5/012

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1 Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China

2 Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China

3 Department of Special Class for Gifted Young, University of Science and Technology of China, Hefei 230026, China

Dates

  1. Received 8 October 2004
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0253-6102/45/5/819

Abstract

In Phys. Lett. A 313 (2003) 343 we have found that the self-reciprocal Hankel transformation (HT) is embodied in quantum mechanics by a transform between two entangled state representations of continuum variables. In this work we study Hankel transforms and properties of Bessel function via entangled state representations' transformation in quantum mechanics.

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