| Summary: | ABSTRACT
The complete solution of the Schradinger equation ofthe nonsymmetrical harmonic oscillators with a potential
energy V(x) = (1x1 - a+)2 was carried out
numerically. The complete solution lead to eigenvalues and their related eigenfunctions of some stationary states
(low level and high level) obtained numerically. These
solution involved the computation of various special
functions such as gamma, confluent hypergeometric and
parabolic cylinder functions as well as finding zeros of
trancendental functions. All computation was carried out
using algorithms which had been prepared and tested to be
sufficiently accurate and efficient.
The energy intervals of the nonsymmetrical harmonic
oscillator levels were found varying for (44. ( except
with one of w+ is ) and the variation appeared more
clearly when a' 0. Especially for low energy levels,
numerical degeneracy was observed started at a' = 6. The
quantum number v, characterizing the eigenstate, had a
l
spectrum of values greater than - and it was not
necessarily integers. For special cases, the numerical
solutions were found to agree with the exact or some other
approximate solution using different methods. Results of
computation are presented graphically as well as
numerically in order to give a more visible information.
KEYWORDS : eigenfunctions eigenvalues -- energy levels
SchrOdinger equation
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