Quaternionic elastic scattering
arXiv:2011.05743 · doi:10.1209/0295-5075/132/50010
Abstract
We study the elastic scattering of quantum particles based on a real Hilbert space approach to quaternionic quantum mechanics ($\mathbbm H$QM) and derive expression for the wave function, the phase shifts, as well as the optical theorem for the case of a hard sphere scattering potential. The strong agreement between these new quaternionic results and the corresponding results in complex quantum mechanics reinforce the validity of the $\mathbbm H$QM generalization of ordinary complex quantum mechanics ($\mathbbm C$QM).
Accept by Europhysics Letters
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Cited by in corpus (14)
- Quaternionic Klein-Gordon equation
- Quaternionic quantum harmonic oscillator
- Quaternionic elastic scattering
- 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
- Self-interacting quantum particles
- Klein-Gordon equation within the real Hilbert space formalism
- Quantum self-interaction within an infinitely deep cavity
- Deformed angular momentum algebra within the real Hilbert space
- The quantum harmonic oscillator and the real Hilbert space
- Generalized imaginary units in quantum mechanics