期刊论文详细信息
Advances in High Energy Physics
Ring-Shaped Potential and a Class of Relevant Integrals Involved Universal Associated Legendre Polynomials with Complicated Arguments
Research Article
Shi-Hai Dong3  Chang-Yuan Chen1  Wei Li2 
[1] New Energy and Electronics, Yancheng Teachers University, Yancheng 224002, China, yctc.edu.cn;School of Science, Beijing University of Chemical Technology, Beijing 100029, China, buct.edu.cn;CIDETEC, Instituto Politécnico Nacional, Unidad Profesional ALM, 07700 Ciudad de México, Mexico, ipn.mx
Others  :  1415957
DOI  :  10.1155/2017/7374256
 received in 2016-12-20, accepted in 2017-01-23,  发布年份 2017
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【 参考文献 】
  • [1]S. H. Dong, R. Lemus. (2002). Ladder operators for the modified Pöschl-Teller potential. International Journal of Quantum Chemistry.86:265-272. DOI: 10.1002/qua.20729.
  • [2]S. H. Dong, C. Y. Chen, M. Lozada-Cassou. (2005). Quantum properties of complete solutions for a new noncentral ring-shaped potential. International Journal of Quantum Chemistry.105(5):453-462. DOI: 10.1002/qua.20729.
  • [3]J. Guo, J. Han, R. Wang. (2006). Pseudospin symmetry and the relativistic ring-shaped non-spherical harmonic oscillator. Physics Letters A.353(5):378-382. DOI: 10.1002/qua.20729.
  • [4]H. Xian-Quan, L. Guang, W. Zhi-Min, N. Lian-Bin. et al.(2010). Solving dirac equation with new ring-shaped non-spherical harmonic oscillator potential. Communications in Theoretical Physics.53(2):242-246. DOI: 10.1002/qua.20729.
  • [5]C. Y. Chen, Y. You, F. L. Lu, D. S. Sun. et al.(2016). Universal associated legendre polynomials and some useful definite integrals. Communications in Theoretical Physics.66(2):158-162. DOI: 10.1002/qua.20729.
  • [6]C. Chen, F. Lu, D. Sun, Y. You. et al.(2016). Spin-orbit interaction for the double ring-shaped oscillator. Annals of Physics.371:183-198. DOI: 10.1002/qua.20729.
  • [7]I. S. Gradshteyn, I. M. Ryzhik. (2000). Tables of Integrals, Series, and Products. DOI: 10.1002/qua.20729.
  • [8]A. P. Prudnikov, Y. A. Brychkov, O. I. Marichev. (1986). Integrals and Series.2. DOI: 10.1002/qua.20729.
  • [9]D. S. Sun, Y. You, F. L. Lu, C. Y. Chen. et al.(2016). On integrals involving universal associated legendre polynomials and powers of the factor (1-x2) and their byproducts. Communications in Theoretical Physics.66(4):369-373. DOI: 10.1002/qua.20729.
  • [10]C. Chen, F. Lu, D. Sun, Y. You. et al.(2015). Exact solutions to a class of differential equation and some new mathematical properties for the universal associated-Legendre polynomials. Applied Mathematics Letters.40. DOI: 10.1002/qua.20729.
  • [11]G. B. Arfken, H. J. Weber. (2005). Mathematical Methods for Physicists. DOI: 10.1002/qua.20729.
  • [12]M. Abramowitz, I. A. Stegun. (1965). Handbook of Mathematical Functions: with Formulas, Graphs, and Mathematical Tables. DOI: 10.1002/qua.20729.
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