On the Solution of the Quantum Rigid Rotor

Cory C. Pye
Department of Chemistry, Saint Mary''s University, Halifax, Nova Scotia B3H 3C3, Canada
J. Chem. Educ., 2006, 83 (3), p 460
DOI: 10.1021/ed083p460
Publication Date (Web): March 1, 2006

Abstract

In the solution to the quantum rigid rotor problem, the divergence of the series solution to Legendre's equation at z = ±1 is typically presented without proof. In addition, the relationship between Legendre's equation and the associated Legendre's equation is seldom explored in depth. This article explores these issues in detail.

Keywords (Audience):

Upper-Division Undergraduate

Keywords (Domain):

Curriculum

Keywords (Feature):

Research: Science and Education

Keywords (Pedagogy):

Textbooks / Reference Books

Keywords (Subject):

Mathematics / Symbolic Mathematics

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History

  • Received: August 03, 2009

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