✦ LIBER ✦

On the application of extended precision arithmetic to quantum mechanical calculations

✍ Scribed by Yu. P. Kravchenko; M. A. Liberman

Publisher: John Wiley and Sons
Year: 1997
Tongue: English
Weight: 195 KB
Volume: 62
Category: Article
ISSN: 0020-7608
DOI: 10.1002/(sici)1097-461x(1997)62:6<593::aid-qua3>3.0.co;2-r

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✦ Synopsis

The computer arithmetic of extended precision has been successfully applied to the problem of a hydrogen atom in an external magnetic field. The solution of the problem was obtained in the analytical form as a double series in nonseparable coordinates. Quantitative results were obtained by direct numerical summation of the series using software-emulated arithmetic of extended precision. Technical aspects of the numerical technique and its possible applications to other practical problems are discussed.

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