期刊文献+

正三角形上本征函数的对称性 被引量:2

Symmetry of eigenfunctions on equilateral triangles
下载PDF
导出
摘要 由D3群一维表示,得到了正三角形上满足Dirichlet边界条件拉普拉斯算子的本征值和本征函数,并讨论了本征函数的对称性. The eigenvalues and eigenfunctions of Laplacian with Dirichlet boundary condition on equilateral triangles are derived from one dimensional representation of D3 group. Their symmetries are discussed.
出处 《大学物理》 北大核心 2009年第2期52-53,56,共3页 College Physics
基金 国家自然科学基金资助项目(1054116)
关键词 正三角形 一维表示 本征函数 equilateral triangle one dimensional representation eigenfunctions
  • 相关文献

参考文献2

二级参考文献18

  • 1[5]JW Turner. On the quantum particle in a polyhedral box[J]. J.Phys. A, Math Gen,1984,17:2791~2797.
  • 2[6]C Itzykson, JM Luck. Arithmatical degenracies in simple quantum systems[J].J.Phys. A, Math Gen,1986,19:211~239.
  • 3Buot F A 1993 Phys. Rep. 234. 73.
  • 4Gutzwiller M C 1990 Choas in Classical and Quantum Mechanics (New York: Springer).
  • 5Zhang C et al 2004 Phys.Rev. Lett. 93 .074101.
  • 6Lu J et al 2004 Acta Phys. Sin. 53. 2450.
  • 7Du M L and Delos J B 1988 Phys. Rev. A 38. 1896.
  • 8Du M L and Delos J B 1988 Phys. Rev. A 38. 1913.
  • 9Lin S Let al 2002 Chin. Phys. Lett. 19. 29.
  • 10Richens P J and Berry M V 1981 Phys. D 1 .495.

共引文献8

同被引文献13

  • 1彭芳麟.“图解”数学物理方法的教学实践[J].物理,2007,36(2):153-158. 被引量:20
  • 2Sedley Taylor. Experiments on the Colours Shown by Thin Liquid Films under the Action of Sonorous Vibrations [J]. Proc R Soc Lond ,1878 ,27 :71-76.
  • 3Soap film oscilation [ EB/OL]. MIT Department of Physics Technical Services Group.http ://techtv. mit. edu/collections/physicsdemos/videos/ 3281 -soap-film-oscillation.
  • 4Elias F, Hutzler S, Ferreira M S. Visualization of sound waves using regularly spaced soap films [J]. Eur J Phys, 2007,28:755-765.
  • 5Dorbolo S, Terwagne D, VandewaUe N,ct al. Resonant and rolling droplet [ J ]. New Journal of Physics, 2008, 10:113021.
  • 6沈元华,陆申龙.基础物理实验[M].北京:高等教育出版社,2007.
  • 7Powell R L, Stetson K A. Interferometfic Vibration Analysis by Wavefront Reconstruction [ J ]. Journal of optical society of America, 1965,55 ( 12 ) : 1593-1598.
  • 8Williams R, Yeow Y T, Brinson H F. An analytical and experimental study of vibrating equilateral triangular plates [ J ]. Experimental Mechanics, 1975, 15 (9) : 339-345.
  • 9Brendan Sullivan. Near-Field Acoustic Holography of a Vibrating Drum Head[EB/OL]. University of Illinois at Urbana-Champaign, 2009.http://online, physics. uiuc. edu/courses/phys 199 pom/NSF_REU_Reports/2008_reu/Brendan_Sullivan_Senior_ Thesis/bsull ivansenior_thesis, pdf.
  • 10朗道,粟弗席兹.弹性理论[M].5版.北京:高等教育出版社,2009:117-119.

引证文献2

二级引证文献3

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部