Exact analytical non-Hermitian formulation of the time evolution of decay of one and two identical quantum particles
Gastón García-Calderón
备注：
This version corrects typos appearing in Eqs. (5),(6)and(7) of the published version. The present conference paper reviews and puts into perspective some of my previous work on this subject. Maybe some text overlap was unavoidable with arXiv:1104.4688
发表信息：
Journal of Physics: Conference Series 626, 012064 (2015)
An analytical solution to the time evolution of decay of one and two identical noninteracting particles is presented using the formalism of resonant states. It is shown that the time-dependent wave function and hence the survival and nonescape probabilities for the initial state of a single particle and entangled symmetric and antisymmetric initial states of two identical particles evolve in a distinctive form along the exponential and long-time nonexponential decaying regimes. In particular, for the last regime, they exhibit different inverse power of time behaviors.
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