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arXiv 1104.4688quant-phmath-phmath.MP
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两个全同量子粒子衰变的时间演化

Time evolution of decay of two identical quantum particles

Gastón García-Calderón, Luis Guillermo Mendoza-Luna

摘要:

利用共振态的形式,导出了两个初始处于有限范围势场中的全同非相互作用量子粒子衰变的时间演化的解析解。它示出的波函数,因此也生存和nonescape概率,因式分解的对称和纠缠对称/反对称初始状态的发展在一个独特的形式沿指数衰减和非指数制度。我们的研究结果显示了泡利不相容原理对衰变的影响。我们通过精确求解s波δ壳层势模型来验证我们的结果。

英文摘要:

An analytical solution for the time evolution of decay of two identical non interacting quantum particles seated initially within a potential of finite range is derived using the formalism of resonant states. It is shown that the wave function, and hence also the survival and nonescape probabilities, for factorized symmetric and entangled symmetric/antisymmetric initial states evolve in a distinctive form along the exponentially decaying and nonexponential regimes. Our findings show the influence of the Pauli exclusion principle on decay. We exemplify our results by solving exactly the s-wave delta shell potential model.

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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