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Communications in Theoretical Physics

On Quantum Mechanical Hankel Transform and Its Applications

Fan Hong‐Yi, Ji‐Suo Wang

Published Aug 1, 2007• 1 citation
Publisher

Abstract

Based on our preceding works of how to relate the mathematical Hankel transform to quantum mechanical representation transform and how to express the Bessel equation by an operator identity in some appropriate representations we propose the concept of quantum mechanical Hankel transform with regard to quantum state vectors. Then we discuss its new applications.

DOI
10.1088/0253-6102/48/2/020

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Based on our preceding works of how to relate the mathematical Hankel transform to quantum mechanical representation transform and how to express the Bessel equation by an operator identity in some appropriate representations we propose the concept of quantum mechanical Hankel transform with regard to quantum state vectors. Then we discuss its new applications.