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Generating Generalized Bessel Equations by Virtue of Bose Operator Algebra and Entangled State Representations
Authors:FAN Hong-Yi  WANG Yong
Affiliation: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, Universityof Science and Technology of China, Hefei 230026, China
Abstract:
With the help of Bose operator identities and entangledstate representation and based on our previous work[Phys. Lett. A 325 (2004) 188]we derive some new generalized Bessel equations which also haveBessel function as their solution. It means that for these intricatehigher-order differential equations, we can get Bessel function solutionswithout using the expatiatory power-series expansion method.
Keywords:Bose operator algebra   entangled state representation   
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