Generating function for rotation matrix elements

Akdemir S. O., Oztekin E.

INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, cilt.112, sa.2, ss.367-372, 2012 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 112 Sayı: 2
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1002/qua.23024
  • Dergi Adı: INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.367-372
  • Anahtar Kelimeler: rotation matrix elements, generating function, Rodrigues' formula
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

The rotation matrix elements are expressed in terms of the Jacobi, Hypergeometric, and Legendre polynomials in the literature. In this study, the generating function is presented for rotation matrix elements by using properties of Jacobi polynomials. In addition, some special values and Rodrigues' formula of rotation matrix elements are obtained by using the generating function. (C) 2011 Wiley Periodicals, Inc. Int J Quantum Chem, 2012