Self-interacting quantum particles
- URL: http://arxiv.org/abs/2403.02935v1
- Date: Tue, 5 Mar 2024 12:53:42 GMT
- Title: Self-interacting quantum particles
- Authors: Sergio Giardino
- Abstract summary: The real Hilbert space formalism developed within the quaternionic quantum mechanics ($mathbb H$QM) is fully applied to the simple model of the autonomous particle.
This framework permits novel insights within the usual description of the complex autonomous particle.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The real Hilbert space formalism developed within the quaternionic quantum
mechanics ($\mathbb H$QM) is fully applied to the simple model of the
autonomous particle. This framework permits novel insights within the usual
description of the complex autonomous particle, particulaly concening the
energy of a non-stationary motion. Through the appraisal of the physical role
played by a fully quaternionic scalar potential, a original self-interaction
within the quaternionic autonomous particle has been determined as well.
Scattering processes are considered to illustrate these novel features.
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