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Problem Involving One Transition Zero

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Phase-Integral Method

Part of the book series: Springer Tracts in Natural Philosophy ((STPHI,volume 40))

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Abstract

The comparison equation technique developed in Chapter 2 in this monograph is used for solving an unspecified Schrödinger-like differential equation with one relevant transition zero. By expansion of the resulting formal solution in terms of a “small” bookkeeping parameter one obtains, at a distance sufficiently far away from the transition zero, the arbitrary-order phase-integral approximation generated from an unspecified base function Q(z),the square of which has one relevant isolated zero.

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References

  1. Fröman, N. and Fröman, P.O., Technique of the comparison equation adapted to the phase-integral method. This is Chapter 2 in the present monograph.

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© 1996 Springer-Verlag New York, Inc.

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Fröman, N., Fröman, P.O. (1996). Problem Involving One Transition Zero. In: Phase-Integral Method. Springer Tracts in Natural Philosophy, vol 40. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-2342-9_3

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  • DOI: https://doi.org/10.1007/978-1-4612-2342-9_3

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-7511-4

  • Online ISBN: 978-1-4612-2342-9

  • eBook Packages: Springer Book Archive

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