The W_t Transcendental Function and Quantum Mechanical Applications

Details The W_t Transcendental Function and Quantum Mechanical Applications The W_t Transcendental Function and Quantum Mechanical Applications

2001-04-12

arxiv.org/abs/math-ph/0104019v2

Riv.Nuovo Cim. B117 (2002) 75-94

Physics

Mathematical Physics

24 pages, 10 EPS figures, corrected typos

Scientific paper

We discuss the function wt(x) defined via the implicit equation
wt(x)*tan[wt(x)]=x which appears in certain quantum mechanical and field
theoretic applications. We investigate its analytic structure, develop series
expansions for both small and large x, and provide various techniques for its
numerical evaluation in the complex plane.

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