A Confined N-Dimensional Harmonic Oscillator

被引：0
作者：
Sami M. Al-Jaber
机构：
[1] An-Najah National University,Department of Physics
来源：
International Journal of Theoretical Physics | 2008年 / 47卷
关键词：
Foundations; Confined systems; Higher dimensions;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We compute the energy eigenvalues for the N-dimensional harmonic oscillator confined in an impenetrable spherical cavity. The results show their dependence on the size of the cavity and the space dimension N. The obtained results are compared with those for the free N-dimensional harmonic oscillator, and as a result, the notion of fractional dimensions is pointed out. Finally, we examine the correlation between eigenenergies for confined oscillators in different dimensions.
引用
收藏
页码：1853 / 1864
页数：11
相关论文
共 45 条
  • [1] Al-Jaber S.M.(2002)undefined Il Nuovo Cimento B 12 3060-undefined
  • [2] Aquilanti V.(1997)undefined Chem. Phys. 214 1-undefined
  • [3] Cavalli S.(2001)undefined Eur. J. Phys. 22 645-undefined
  • [4] Aquino N.(1992)undefined Int. J. Quantum Chem. 41 673-undefined
  • [5] Castano E.(1992)undefined Phys. Rev. D 46 5557-undefined
  • [6] Campoy G.(2005)undefined J. Phys. A: Math. Gen. 38 4783-undefined
  • [7] Granadas V.(2002)undefined Eur. J. Phys. 21 261-undefined
  • [8] Avery J.(1998)undefined Eur. J. Phys. 19 581-undefined
  • [9] Herschbach D.R.(2000)undefined J. Phys. A: Math. Gen. 33 569-undefined
  • [10] Bender C.M.(2001)undefined J. Phys. A: Math. Gen. 34 1169-undefined
12345