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Analytical Expressions of Matrix Elements of Physical Quantities for Dirac Oscillator

Analytical Expressions of Matrix Elements of Physical Quantities for Dirac Oscillator
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摘要 The analytical expressions of the matrix elements for physical quantities are obtained for the Dirac oscillator in two and three spatial dimensions. Their behaviour for the case, of operator's square is discussed in details. The two-dimensional Dirac oscillator has similar behavior to that for three-dimensional one.
作者 LINing JUGuo-Xing RENZhong-Zhou
机构地区 DepartmentofPhysics
出处 《Communications in Theoretical Physics》 SCIE CAS CSCD 2004年第2期195-200,共6页 理论物理通讯（英文版）
基金 The project supported by the Research Fund for the Doctorial Program of Higher Education of China under Grant No.20010284036 National Natural Science Foundation of China under Grant No.10125521 the 973 State Basic Key Research and Development of China under Grant No.G20000077400
关键词 Dirac equation Dirac oscillator matrix element 矩阵元 狄拉克方程 狄拉克振荡器 量子器件 哈密顿体系
分类号 TN752 [电子电信—电路与系统] TN201
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  • 1[1]See e.g. S. Flugge, Practical Quantum Mechanics,Springer-Verlag, Berlin (1974).
  • 2[2]See e.g.L. Pauling and E.B. Wilson, Introduction to Quantum Mechanics with Applications to Chemistry,McGraw-Hill, New York (1935); H. Bethe and E. Salpeter,Quantum Mechanics of One- and Two-Electron Atoms,Springer-Verlag, Berlin (1957); B.C. Wybourne, Classical Groups for Physicists, Wiley, New York (1974).
  • 3[3]HOU Chun-Feng, JIANG Yong-Yuan, SUN Xiu-Dong,and SUN Wan-Jun, Acta Physica Sinica 48 (1999) 1587(in Chinese).
  • 4[4]HOU Chun-Feng, ZHOU Zhong-Xiang, and YUAN BaoHong, Chinese Journal of Atomic and Molecular Physics 17 (2000) 129.
  • 5[5]CHEN Chang-Yuan, Acta Physica Sinica 49 (2000) 607(in Chinese).
  • 6[6]CHEN Chang-Yuan and SUN Dong-Sheng, Chinese Journal of Atomic and Molecular Physics 18 (2001) 105.
  • 7[7]CHEN Chang-Yuan, WANG Zhong-Chun, LIU ChengLin, and SUN Dong-Sheng, Acta Photonica Sinica 31(2002) 650.
  • 8[8]See e.g., J.D. Bjorken and S.D. Drell, Relativistic Quantum Mechanics, McGraw-Hill, Inc., New York (1964).
  • 9[9]M. Moshinsky and A. Szczepaniak, J. Phys. A: Math.Gen. 22 (1989) L817.
  • 10[10]It(o^), Mori and Carrieri, Nuovo Cimento A51 (1967) 1119.
Communications in Theoretical Physics
2004年 第2期

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