WKB and MAF quantization rules for spatially confined quantum mechanical systems

✍ Scribed by Anjana Sinha; Rajkumar Roychoudhury

• Publisher: John Wiley and Sons
• Year: 1999
• Tongue: English
• Weight: 157 KB
• Volume: 73
• Category: Article
• ISSN: 0020-7608
• DOI: 10.1002/(sici)1097-461x(1999)73:6<497::aid-qua4>3.0.co;2-b

✦ Synopsis

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, viz. the confined one-dimensional harmonic and quartic oscillators and a boxed-in charged particle subject to an external electric field. The energies thus obtained are compared with those from shifted 1rN expansion, variational, and other methods, as well as the available exact numerical results.