Numerical Solutions for the Schr¨odinger Equation with a Degenerate Polynomial Potential of Even Power
- Authors: Batgerel B1, Zhanlav T2
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Affiliations:
- Mongolian University of Science and Technology
- National University of Mongolia
- Issue: No 3.2 (2010)
- Pages: 58-62
- Section: Articles
- URL: https://journals.rudn.ru/miph/article/view/8506
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Abstract
A high order finite difference scheme for the Schr̈odinger equation with the degenerate potential U(x) = x2r, r N, which describes phase transitions in quantum systems, have been constructed. The eigenvalues are found for some values of r
About the authors
B Batgerel
Mongolian University of Science and Technology
Email: b.batgerel@yahoo.com
Кафедра естественных наукДарханский технологическии институт; Монгольский государственный университет науки и технологий; Mongolian University of Science and Technology
T Zhanlav
National University of Mongolia
Email: zhanlav@yahoo.com
Кафедра прикладной математикиМатематический факультет; Монгольский государственный университет; National University of Mongolia