Analytic solutions of the Schrödinger equation for the modified quartic oscillator |
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| Authors: | L Skála J Dvo?ák V Kapsa |
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| Institution: | (1) Faculty of Mathematics and Physics, Charles University, 121 16 Prague 2, Czech Republic |
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| Abstract: | No analytic solutions of the Schrödinger equation are known for the quartic anharmonic oscillator. We show in this paper that there are closely related modified quartic oscillators with the potential depending on |x| for which analytic solutions for some states exist. These results can be extended to the higher order oscillators |
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