Corpus ID: 12406299

Feynman Integral Approach to Absorption in Quantum Mechanics

@article{Marchewka1999FeynmanIA,
  title={Feynman Integral Approach to Absorption in Quantum Mechanics},
  author={Avi Marchewka and Zeev Schuss},
  journal={arXiv: Quantum Physics},
  year={1999}
}
We propose a formulation of an absorbing boundary for a quantum particle. The formulation is based on a Feynman-type integral over trajectories that are confined by the absorbing boundary. Trajectories that reach the absorbing wall are instantaneously terminated and their probability is discounted from the population of the surviving trajectories. This gives rise to a unidirectional absorption current at the boundary. We calculate the survival probability as a function of time. Several modes of… 
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