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

Study Hankel Transforms and Properties of Bessel Function via Entangled State Representation Transformation in Quantum Mechanics
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摘要 In Phys. Lett. A 313 (2003) 343 we have found that the self-recipràcal 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.
出处 《Communications in Theoretical Physics》 SCIE CAS CSCD 2006年第5期819-824,共6页 理论物理通讯(英文版)
基金 The project supported by National Natural Science Foundation of China under Grant No. 10475056 and the President Foundation of the Chinese Academy of Sciences
关键词 entangled state representation Hankel transform Bessel function 纠缠态表征 Hankel变换 Bessel函数 理论物理
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参考文献15

  • 1See e.g.,I.N.Sneddon,The Use of Integral Transforms,McGraw-Hill,New York (1972).
  • 2Hong-Yi Fan,Phys.Lett.A 313 (2003) 343.
  • 3A.Einstein,B.Podolsky,and N.Rosen,Phys.Rev.47(1935) 777.
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  • 10Hong-Yi Fan and Chao Li,Phys.Lett.A 325 (2004) 188.

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