Generating Generalized Bessel Equations by Virtue of Bose Operator Algebra and Entangled State Representations

Document Type

Article

Publication Date

1-15-2006

Keywords

Quantum Mechanics, Operator Identity Matrix Element

Abstract

With the help of Bose operator identities and entangled state representation and based on our previous work [Phys. Lett. A 325 (2004) 188] we derive some new generalized Bessel equations which also have Bessel function as their solution. It means that for these intricate higher-order differential equations, we can get Bessel function solutions without using the expatiatory power-series expansion method.

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