Exact solutions of a particle in a box with a delta function potential: The factorization method

Pouria Pedram and M. Vahabi

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Exact solutions of a particle in a box with a delta function potential: The factorization method

机译：具有三角函数势的盒子中粒子的精确解：分解方法

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We use the factorization method to ﬁnd the exact eigenvalues and eigenfunctions for a particle in anbox with the delta function potential Vu0001xu0002=u0001u0002u0001x−x0u0002. We show that the presence of the potentialnresults in the discontinuity of the corresponding ladder operators. The presence of the delta functionnpotential allows us to obtain the full spectrum in the ﬁrst step of the factorization procedure even innthe weak coupling limit u0001→0. © 2010 American Association of Physics Teachers.

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《American Journal of Physics》 |2010年第8期|p.839-841|共3页
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Pouria Pedram and M. Vahabi;
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Plasma Physics Research Center, Islamic Azad University, Science and Research Campus,Tehran 1477893855, Iran;

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Exact solutions of a particle in a box with a delta function potential: The factorization method

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