Exact analytical non-Hermitian formulation of the time evolution of decay of one and two identical quantum particles

7th International Workshop DICE2014 Spacetime – Matter – Quantum Mechanics

物理学;力学

García-Calderón, Gastón^1

Instituto de Física, Universidad Nacional Autónoma de México, Apartado Postal 20 364, Mexico, Distrito Federal

01000, Mexico^1

关键词: Anti-symmetric;    Identical particles;    Non-interacting particles;    Quantum particles;    Resonant state;    Single particle;    Time evolutions;    Time-dependent wave function;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/626/1/012064/pdf
DOI  :  10.1088/1742-6596/626/1/012064

学科分类：力学，机械学

来源: IOP

【 摘 要 】

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.