On the Schroedinger Connection.
Technical summary rept.,
WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER
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A new and more direct approach to the connection of wave amplitudes across turning points and singular points of physical Schroedinger equations is summarized. It interprets the connection formulae as an asymptotic expression of the branch structure of the singular point. It also extends turning-point theory to almost the whole class of singular points of physical wave- or oscillator-equations by a new approach to irregular singular points of ordinary differential equations. This reveals an unexpected and striking two-variable structure of the solutions even close to a singular point. Author
- Numerical Mathematics
- Quantum Theory and Relativity