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SWKB formalism for confined quantum systems

✍ Scribed by Anjana Sinha

Book ID
101335818
Publisher
John Wiley and Sons
Year
2000
Tongue
English
Weight
177 KB
Volume
79
Category
Article
ISSN
0020-7608

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✦ Synopsis

A formalism is developed to study spatially confined one-dimensional quantum mechanical systems in the framework of the supersymmetric Wentzel-Kramers-Brillouin (SWKB) method. The approximation technique is applied to estimate the energy eigenvalues of two confined potentials-the harmonic oscillator V(x) = x 2 and the screened Coulomb potential V(x) = -V 0 sech 2 x. The results thus obtained are found to be in better agreement with the exact numerical values than are those from the ordinary WKB approach.

πŸ“œ SIMILAR VOLUMES

WKB and MAF quantization rules for spati
WKB and MAF quantization rules for spatially confined quantum mechanical systems
✍ Anjana Sinha; Rajkumar Roychoudhury πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 157 KB

A formalism is developed to obtain the energy eigenvalues of spatially confined quantum mechanical systems in the framework of the usual Ž . Ž . Wentzel᎐Kramers᎐Brillouin WKB and modified airy function MAF methods. To illustrate the working rule, the techniques are applied to three different cases,