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.

Accept by Int. J. Geom. Meth. Mod. Phys

References in corpus (10)

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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