科研之友
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摘要
A new version of the Hill-determinant construction of bound states is proposed. It is based on the matching of two suitable power-series Ansatze for the wave function. For the asymmetric well potential V(x) = ax + bx2 + cx3 + dx4 the convergence of the approximants to the physical solutions is proved. For b > b(minimal), the Taylor coefficients for this anharmonic oscillator's wave function are specified by four-term recurrences.
- 出版日期1992-1
