Asymptotic approximations to Clebsch-Gordan coefficients from a tight-binding model Journal Articles uri icon

  •  
  • Overview
  •  
  • Research
  •  
  • Identity
  •  
  • Additional Document Info
  •  
  • View All
  •  

abstract

  • The recurrence relations of the angular momentum vector addition coefficients are interpreted as a tight-binding model of a one-dimensional potential. From this model we derive their semi-classical limits in a simple manner, treating separately large J≈L+S and small J≈∣L−S∣. The resulting picture makes their qualitative behavior transparent to beginners, without the use of advanced concepts.

publication date

  • June 1, 2009