Generating Generalized Bessel Equations by Virtue of Bose Operator Algebra and Entangled State Representations
Quantum Mechanics, Operator Identity Matrix Element
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.
Fan, H., & Wang, Y. (2006). Generating Generalized Bessel Equations by Virtue of Bose Operator Algebra and Entangled State Representations. Physics Faculty Publications and Presentations., 45 (1), 71-74. https://doi.org/https://doi.org/10.1088/0253-6102/45/1/013