TL;DR
This paper investigates quantum scattering of a meson off a scalar kink, calculating the full quantum state and verifying reflection and transmission coefficients align with relativistic quantum mechanics predictions.
Contribution
It provides the first leading-order quantum state analysis of meson-kink scattering in quantum field theory, bridging quantum field and relativistic quantum mechanics results.
Findings
Reflection and transmission coefficients match relativistic quantum mechanics.
Full quantum state evolution is obtained at leading order.
Quantum scattering results are consistent with classical expectations.
Abstract
We scatter a meson off of a scalar kink in quantum field theory, at leading order in perturbation theory. We calculate the full quantum state, at leading order, at all times and also check that the reflection and transmission coefficients agree with those which would be obtained in relativistic quantum mechanics.
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Taxonomy
TopicsNonlinear Photonic Systems · Strong Light-Matter Interactions · Cold Atom Physics and Bose-Einstein Condensates