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Legendre polynomials integral evaluation

Rodrigues formula is of great use in the evaluation of definite integrals involving Legendre polynomials. Consider, for instance, the integral... [Pg.55]

If we expand the potential in terms of Legendre polynomials P (cos7) according to (3.23), the four-fold angular integral can be evaluated analytically to yield... [Pg.265]

The integral over the angular coordinates can be evaluated for either a specific transition from an initial J, Mj eigenstate to a final J , Mj eigenstate explicitly or, as in the equation below, for any transition by using the recursion relationship for the Legendre polynomials. [Pg.146]

See other pages where Legendre polynomials integral evaluation is mentioned: [Pg.160]    [Pg.267]    [Pg.274]    [Pg.348]    [Pg.141]    [Pg.26]    [Pg.246]    [Pg.248]    [Pg.166]    [Pg.611]    [Pg.517]    [Pg.611]    [Pg.226]    [Pg.579]   
See also in sourсe #XX -- [ Pg.501 ]



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