Numerical Solutions for the Schr¨odinger Equation with a Degenerate Polynomial Potential of Even Power

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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

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

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Copyright (c) 2010 Батгэрэл Б., Жанлав T.

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