Quaternionic quantum particles

Abstract

Solutions of quaternionic quantum mechanics (QQM) are difficult to grasp, even in simple physical situations. In this article, we provide simple and understandable free particle quaternionic solutions, that can be easily compared to complex quantum mechanics (CQM). As an application, we study the scattering of quaternionic particles through a scalar step potential. We also provide a general solution method for the quaternionic Schrödinger equation, which can be applied to more sophisticated and physically interesting models.

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Cited by in corpus (17)

• Virial theorem and generalized momentum in quaternic quantum mechanics
• Quaternionic Klein-Gordon equation
• Quaternionic quantum harmonic oscillator
• Quaternionic elastic scattering
• Quaternionic scalar field in the real Hilbert space
• Quaternionic Dirac free particle
• Quaternionic fermionic field
• Spin and angular momentum in quaternionic quantum mechanics
• Expectation value dynamics within real Hilbert space quantum mechanics
• Self-interacting quantum particles
• Square-well potential in quaternic quantum mechanics
• Quaternionic quantum particles: new solutions
• Klein-Gordon equation within the real Hilbert space formalism
• Quantum self-interaction within an infinitely deep cavity
• Generalized imaginary units in quantum mechanics
• Deformed angular momentum algebra within the real Hilbert space
• The quantum harmonic oscillator and the real Hilbert space