Explicit expressions and recurrence formulas of radial average value for N-dimensional hydrogen atom
CHEN Chang-yuan, SUN Dong-sheng, LIU You-we, LIU Cheng-lin. Explicit expressions and recurrence formulas of radial average value for N-dimensional hydrogen atom[J]. 原子与分子物理学报, 2002, 19(2): 201.
CHEN Chang-yuan, SUN Dong-sheng, LIU You-we, LIU Cheng-lin. Explicit expressions and recurrence formulas of radial average value for N-dimensional hydrogen atom[J]. Journal of Atomic and Molecular Physics, 2002, 19(2): 201.
[1] . M. Nieto. Hydrogen atom and relativistic pi-mesic atom in N2space dimensions[J]. Am. J . Phys., 1979, 47(12): 1.
[2] . SO( n + 1) Dynamical symmetry of n2dimensional hydrogen atom[J]. Science inChina,Ser A, 1993, 36(5): 595-601.
[3] 曾谨言.量子力学卷Ⅱ, (第二版)[M].北京:科学出版社,1997 ,Chap. 7.
[4] 侯春风,周忠祥,袁保红. n 维氢原子径向矩阵元的通项计算公式[J] . 原子与分子物理学报,2000 ,17 (1) :129～132.
[5] 陈昌远,孙东升. n 维氢原子径向矩阵元的递推关系[J] . 原子与分子物理学报,2001 ,18 (1) :105～108.
[6] . F. Liu,Y. A. Lei,J . Y. Zeng. Factorization of the radial Schrêdinger equation and four kinds of raising and lowering operators of hydrogen atoms and isotropic harmonic oscillators[J]. Phys. Lett . A., 1997, 231: 9-22.
[7] . Four kinds of raising and lowering operators of n2dimensional hydrogen atom and isotropic harmonic oscillator[J]. Science in China,Ser A, 1997, 40(10): 1.
[8] . Bockasten. Mean values of powers of the radius for hydrogenic electron orbits[J]. Phys. Rev. A., 1974, 9(3): 1.
[9] . Shertzer. Evaluation of matrix elements〈n,l | rβ| n,l′〉for arbitrary β[J]. Phys. Rev. A., 1991, 44(5): 2832-2.
[10] M. K. F. Wong,H. Y. Yeh. Simplified solution of the Dirace equation with a Coulomb potential [ J ] . Phys.Rev. D.,1982 ,25(12) :3 396～3 401.
[11] . Kobus,J . Karwowski,W. Jaskolski. Matrix elements of rq for quasirelativistic and Dirac hydrogenic wavefunctions[J]. J . Phys. A., 1987, 20(11): 3.
[12] 侯春风,姜永远,孙秀冬,孙万均. 相对论性氢原子径向算符矩阵元的通项计算公式[J].物理学报,1999 ,48(9) :1 587～1 592.
[13] L. D. Landau,E. M. Lifshitz. Quantum Mechanics(non-relativistic theory) [M],3rd ed,Pregamon Press,New York(1979) ,P. 662.
[14] 钱伯初,曾谨言. 量子力学习题精选与剖析[M] . 北京:科学出版社,1988 :197～199.
CHEN Chang-yuan, SUN Dong-sheng, LIU You-we, LIU Cheng-lin. Explicit expressions and recurrence formulas of radial average value for N-dimensional hydrogen atom[J]. 原子与分子物理学报, 2002, 19(2): 201. CHEN Chang-yuan, SUN Dong-sheng, LIU You-we, LIU Cheng-lin. Explicit expressions and recurrence formulas of radial average value for N-dimensional hydrogen atom[J]. Journal of Atomic and Molecular Physics, 2002, 19(2): 201.
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