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CPHYSICS
2006

A band factorization technique for transition matrix element asymptotics

9 years 10 months ago
A band factorization technique for transition matrix element asymptotics
A new method of evaluating transition matrix elements between wave functions associated with orthogonal polynomials is proposed. The technique relies on purely algebraic manipulation of the associated recurrence coefficients. The form of the matrix elements is perfectly suited to very large quantum number calculations by using asymptotic series expansions. In practice, this allows the accurate and fast numerical treatment of transition matrix elements in the quasi-classical limit. Examples include the matrix elements of xp in the harmonic oscillator basis, and connections with the Wigner 3j symbols.
Emmanuel Perrey-Debain, I. David Abrahams
Added 11 Dec 2010
Updated 11 Dec 2010
Type Journal
Year 2006
Where CPHYSICS
Authors Emmanuel Perrey-Debain, I. David Abrahams
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