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Phase-integral treatment of the linear plus Coulomb potential. I. Energy levels

✍ Scribed by Bo Thidé; Staffan Linnaeus

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

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✦ Synopsis

Phase-Integral Treatment of the Linear Plus Coulomb

Potential.

I. Energy Levels

Bo THID~ AND STAFFAN

LINNAEUS

The first-, third-. and fifth-order phase-integral quantization conditions for the radial potential V(r) = LII' ~ h/r are expressed explicitly in terms of complete elliptic integrals. Comparison with the exact energy eigenvalues shows that the phase-integral formulas can yield very accurate results for the energy levels. especially for I > 0.

📜 SIMILAR VOLUMES

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; Mats Düring 📂 Article 📅 1985 🏛 Elsevier Science 🌐 English ⚖ 361 KB

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 probabilit

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