Virial theorem and generalized momentum in quaternic quantum mechanics

Abstract

After a review on recent results on quaternic quantum mechanics ($\mathbb{H}$QM), we present further consistency tests that reinforce its compatibility with the usual complex quantum mechanics ($\mathbb{C}$QM). The novel results comprises the Virial theorem, the quantum quaternic Lorentz force, the existence of a quaternic magnetic monopole and the redefinition of the expectation value.

Accept by Eur. Phys. J. Plus

References in corpus (4)

• Making Sense of Non-Hermitian Hamiltonians
• Simulating quantum systems using real Hilbert spaces
• Quaternionic Wave Packets
• Quaternionic perturbation theory

Cited by in corpus (3)

• Quaternionic quantum harmonic oscillator
• Quaternionic elastic scattering
• Spin and angular momentum in quaternionic quantum mechanics