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arXiv 1401.6313quant-ph
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抛物型奇势的一维量子散射

One-dimensional quantum scattering by a parabolic odd potential

Erasmo M. Ferreira, Javier Sesma

摘要:

考虑了一维奇势的量子散射,奇势与到原点距离的平方成正比。精确求解了薛定谔方程,给出了波函数的显式代数表达式。散射函数的完整讨论揭示了伽莫夫(衰减)状态和共振的存在。

英文摘要:

Quantum scattering by a one-dimensional odd potential proportional to the square of the distance to the origin is considered. The Schrödinger equation is solved exactly and explicit algebraic expressions of the wavefunction are given. A complete discussion of the scattering function reveals the existence of Gamow (decaying) states and of resonances.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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