Quantum spectra of triangular billiards on the sphere

被引:3
|
作者
Spina, ME [1 ]
Saraceno, M [1 ]
机构
[1] Comis Nacl Energia Atom, Dept Phys, RA-1429 Buenos Aires, DF, Argentina
来源
关键词
D O I
10.1088/0305-4470/34/12/303
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study the quantal energy spectrum of triangular billiards on a spherical surface. Group theory yields analytical results for tiling billiards while the generic case is treated numerically. We find that the statistical properties of the spectra do not follow the standard random matrix results and their peculiar behaviour can be related to the corresponding classical phase-space structure.
引用
收藏
页码:2549 / 2560
页数:12
相关论文
共 50 条
  • [1] Correlations and spectra of triangular billiards
    Artuso, R
    PHYSICA D, 1997, 109 (1-2): : 1 - 10
  • [2] Quantum chaos in triangular billiards
    Lozej, Crt
    Casati, Giulio
    Prosen, Tomaz
    PHYSICAL REVIEW RESEARCH, 2022, 4 (01):
  • [3] QUANTUM ASPECTS OF TRIANGULAR BILLIARDS
    MILTENBURG, AG
    RUIJGROK, TW
    PHYSICA A, 1994, 210 (3-4): : 476 - 488
  • [4] Quantum spectra and classical orbits in two-dimensional equilateral triangular billiards
    Lin, SL
    Gao, F
    Hong, ZP
    Du, ML
    CHINESE PHYSICS LETTERS, 2005, 22 (01): : 9 - 11
  • [5] The spectral statistics of triangular quantum billiards
    Bellomo, P
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1995, 5 (06): : 1599 - 1609
  • [6] Quantum properties of irrational triangular billiards
    de Aguiar, F. M.
    PHYSICAL REVIEW E, 2008, 77 (03):
  • [7] A NEW COMPUTATION SCHEME FOR TRIANGULAR QUANTUM BILLIARDS
    BELLOMO, P
    PRAMANA-JOURNAL OF PHYSICS, 1995, 44 (02): : 85 - 108
  • [8] Ergodicity and quantum correlations in irrational triangular billiards
    Araujo Lima, T.
    Rodriguez-Perez, S.
    de Aguiar, F. M.
    PHYSICAL REVIEW E, 2013, 87 (06):
  • [9] Two-dimensional quantum spectra and classical orbits of isosceles- right triangular billiards
    Liu Xiang-Long
    Zhu Man-Zuo
    Lu Lu
    ACTA PHYSICA SINICA, 2012, 61 (22)
  • [10] Quantum chaotic trajectories in integrable right triangular billiards
    de Sales, JA
    Florencio, J
    PHYSICAL REVIEW E, 2003, 67 (01):