State Change via One-Dimensional Scattering in Quantum Mechanics

• URL: http://arxiv.org/abs/2506.24090v2
• Date: Tue, 08 Jul 2025 19:16:20 GMT
• Title: State Change via One-Dimensional Scattering in Quantum Mechanics
• Authors: Olivia Pomerenk, Charles S. Peskin,
• Abstract summary: We consider a pair of particles that interact in a one-dimensional setting via a delta-function potential.<n>The free particle is incident from the left with specified energy, and it may cause changes in state of the confined particle before flying away to the left or to the right.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We consider a pair of particles that interact in a one-dimensional setting via a delta-function potential. One of the particles is confined to a one-dimensional box, and the other particle is free. The free particle is incident from the left with specified energy, and it may cause changes in state of the confined particle before flying away to the left or to the right. We present a non-perturbative formulation and computational scheme that determines the probability of any such outcome, as a function of the initial state of the confined particle and the energy of the incident particle.

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