Accurate solutions for the spiked oscillators |
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| Authors: | G Campoy N Aquino |
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| Institution: | 1. Departamento de Investigación en Física, Universidad de Sonora, Apartado Postal A‐88, Hermosillo 83000, Sonora, México;2. Departamento de Física, Universidad Autónoma Metropolitana‐Iztapalapa, Apartado Postal 55‐534, 09340 México D. F. |
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| Abstract: | The one‐dimensional harmonic oscillator potential plus a term of the form λ / xα is known as the spiked oscillator potential; it constitutes a very interesting system because of its difficulties to accept perturbative and variational solutions for certain regimes of the α parameter. By the use of a numerical method, we obtain accurate energy eigenvalues and eigenfunctions for a wide range of λ values and a few α values. The accuracy of the present results is by much higher than previously published results. © 2008 Wiley Periodicals, Inc. Int J Quantum Chem, 2009 |
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| Keywords: | spiked oscillator energy eigenvalues eigenfunctions |
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