Complementarity and entanglement in a simple model of inelastic scattering

• URL: http://arxiv.org/abs/2306.07498v1
• Date: Tue, 13 Jun 2023 02:20:49 GMT
• Title: Complementarity and entanglement in a simple model of inelastic scattering
• Authors: David Kordahl
• Abstract summary: This model is well-known in the inelastic scattering literature. It is presented under three different conceptual approaches. The two-particle scattering wavefunction clarifies these differences and allows the consequences of quantum entanglement to be explored.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: A simple model coupling a one-dimensional beam particle to a one-dimensional harmonic oscillator is used to explore complementarity and entanglement. This model, well-known in the inelastic scattering literature, is presented under three different conceptual approaches, with both analytical and numerical techniques discussed for each. In a purely classical approach, the final amplitude of the oscillator can be found directly from the initial conditions. In a partially quantum approach, with a classical beam and a quantum oscillator, the final magnitude of the quantum-mechanical amplitude for the oscillator's first excited state is directly proportional to the oscillator's classical amplitude of vibration. Nearly the same first-order transition probabilities emerge in the partially and fully quantum approaches, but conceptual differences emerge. The two-particle scattering wavefunction clarifies these differences and allows the consequences of quantum entanglement to be explored.

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