Quaternionic quantum harmonic oscillator
arXiv:2101.03379 · doi:10.1140/epjp/s13360-021-01103-w
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.
Accept by Eur. Phys. J. Plus
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Cited by in corpus (12)
- Quaternionic Klein-Gordon equation
- Quaternionic Dirac free particle
- Quaternionic scalar field in the real Hilbert space
- Quaternionic fermionic field
- Spin and angular momentum in quaternionic quantum mechanics
- Expectation value dynamics within real Hilbert space quantum mechanics
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