科研之友
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摘要
Recently, it has been proved that a nonlinear quantum oscillator, generalization of the isotonic one, is exactly solvable for certain values of its parameters. Here, we show that the Schrodinger equation for such an oscillator can be transformed into a confluent Heun equation. We give a very simple and efficient algorithm to solve it numerically, nomatter what the values of the parameters are. Algebraic quasi-polynomial solutions, for particular values of the parameters, are found.
- 出版日期2010-5-7
