Quaternionic quantum particles: new solutions

Abstract

If $\Psi$ is a quaternionic wave function, then $i\Psi \ne \Psi i$. Thus, there are two versions of the quaternionic Schrödinger equation (QSE). In this article, we present the second possibility for solving the QSE, following on from a previous article. After developing the general methodology, we present the quaternionic free particle solution and the scattering of the quaternionic particle through a scalar barrier.

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Cited by in corpus (4)

• Quaternionic quantum harmonic oscillator
• Quaternionic Dirac free particle
• Spin and angular momentum in quaternionic quantum mechanics
• Generalized imaginary units in quantum mechanics