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Connection formulas for certain higher order phase-integral approximations

✍ Scribed by Nanny Fröman

Publisher
Elsevier Science
Year
1970
Tongue
English
Weight
777 KB
Volume
61
Category
Article
ISSN
0003-4916

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✦ Synopsis

Characteristic properties of certain higher order phase-integral approximations related to the higher order JWKR approximations are discussed and connection formulas are given.

📜 SIMILAR VOLUMES

A direct method for modifying certain ph
A direct method for modifying certain phase-integral approximations of arbitrary order
✍ Nanny Fröman; Per Olof Fröman 📂 Article 📅 1974 🏛 Elsevier Science 🌐 English ⚖ 248 KB

The approximate solution of the differential equation d'+d? + Q'(z)+ = 0 by a general modification of certain phase-integral approximations of arbitrary order is considered. A consistent modification of these higher-order phase-integral approximations is derived on the assumption that one has found

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On the normalization of wave functions for bound states in a single-well potential when certain phase-integral approximations of arbitrary order are used
✍ Per Olof Fröman 📂 Article 📅 1974 🏛 Elsevier Science 🌐 English ⚖ 478 KB

Simple final formulae are obtained for the normalization factors of wavefunctions for bound states in a one-dimensional, single-well potential, when use is made of certain arbitrary-order phase-integral approximations, which may be modified in a convenient way.