Quaternionic quantum harmonic oscillator

• URL: http://arxiv.org/abs/2101.03379v1
• Date: Sat, 9 Jan 2021 15:31:36 GMT
• Title: Quaternionic quantum harmonic oscillator
• Authors: Sergio Giardino
• Abstract summary: We show that quaternionic quantum mechanics ($mathbbmH$QM) have many additional possibilities if compared to complex quantum mechanics ($mathbbmC$QM) The quaternionic solutions have many additional possibilities if compared to complex quantum mechanics ($mathbbmC$QM)
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In this article we obtained the harmonic oscillator solution for quaternionic quantum mechanics ($\mathbbm{H}$QM) in the real Hilbert space, both in the analytic method and in the algebraic method. The quaternionic solutions have many additional possibilities if compared to complex quantum mechanics ($\mathbbm{C}$QM), and thus there are many possible applications to these results in future research.

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