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Phase-integral treatment of the linear plus Coulomb potential. II. Expectation values and the probability density at the origin

✍ Scribed by Staffan Linnaeus; Mats Düring

Publisher
Elsevier Science
Year
1985
Tongue
English
Weight
361 KB
Volume
164
Category
Article
ISSN
0003-4916

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✦ Synopsis

The linear plus Coulomb potential V(r) = ar -b/r is considered.

The first-, third-, and tilthorder phase-integral formulas for expectation values of integer powers of r are expressed in terms of complete elliptic integrals. It is pointed out how these results can be used to calculate the probability density close to the origin.

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Phase-integral treatment of the linear p
Phase-integral treatment of the linear plus Coulomb potential. II. Expectation values and the probability density at the origin: Staffan Linnaeus and Mats Düring, Institute of Theoretical Physics, University of Uppsala, Thunbergsvägen 3, S-752 38 Uppsala, Sweden
📂 Article 📅 1985 🏛 Elsevier Science 🌐 English ⚖ 43 KB

The linear plus Coulomb potential V(r) =ar-b/r is considered. The first-, third, and fifth-order phase-integral formulas for expectation values of integer powers of r are expressed in terms of complete elliptic integrals. It is pointed out how these results can be used to calculate the probability

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📂 Article 📅 1985 🏛 Elsevier Science 🌐 English ⚖ 77 KB

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