Self-interacting quantum particles

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.

arXiv commentAccept by Int. J. Geom. Meth. Mod. Phys

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Cited by in corpus (5)

• Expectation value dynamics within real Hilbert space quantum mechanics
• Self-interacting quantum particles and the Dirac delta potential
• Complex Lagrangian dynamics
• Quantum self-interaction within an infinitely deep cavity
• Deformed angular momentum algebra within the real Hilbert space