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2017

Bound State Energies using Phase Integral Analysis

White, R. B., Kutlin, A. G.

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The study of asymptotic properties of solutions to differential equations has a long and arduous history, with the most significant advances having been made in the development of quantum mechanics.

A very powerful method of analysis is that of Phase Integrals, described by Heading.
Key to this analysis are the Stokes constants and the rules for analytic continuation of an asymptotic solution through the complex plane.
These constants are easily determined for isolated singular points, by analytically continuing around them and, in the case of analytic functions, requiring the asymptotic solution to be single valued.

Bound State Energies using Phase Integral Analysis · Around

Built on

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J. Heading. An Introduction to Phase Integral Methods
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R.B. Dingle Asymmpotic Expansions: Their Derivation and Interpretation
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