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On Quantum Mechanical Hankel Transform and Its Applications
Authors:FAN Hong-Yi  WANG Ji-Suo
Institution: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 Physics, Liaocheng University, Liaocheng 252059, China
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.
Keywords:quantum mechanical Hankel transform  entangled state  integration equation
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