# Quaternionic potentials in non-relativistic quantum mechanics

@article{Leo2001QuaternionicPI, title={Quaternionic potentials in non-relativistic quantum mechanics}, author={Stefano De Leo and Caterina Ducati and Celso C. Nishi}, journal={Journal of Physics A}, year={2001}, volume={35}, pages={5411-5426} }

We discuss the Schr¨ odinger equation in the presence of quaternionic potentials. The study is performed analytically as long as it proves possible, when not, we resort to numerical calculations. The results obtained could be useful to investigate an underlying quaternionic quantum dynamics in particle physics. Experimental tests and proposals to observe quaternionic quantum effects by neutron interferometry are briefly reviewed.

## 67 Citations

### Scattering in quantum mechanics under quaternionic Dirac delta potential

- Physics
- 2016

In this paper, the Schrodinger equation for quaternionic quantum mechanics with a Dirac delta potential has been investigated. The derivative discontinuity condition for the quaternionic wave…

### Relativistic scattering of fermions in quaternionic quantum mechanics

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In this article, we propose a quaternionic version of the Dirac equation in the presence of scalar and vector potentials. It has been shown that in complex limit of such an equation, the complex…

### Quaternionic Particle in a Relativistic Box

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- 2015

This study examines quaternion Dirac solutions for an infinite square well. The quaternion result does not recover the complex result within a particular limit. This raises the possibility that…

### Quaternionic Particle in a Relativistic Box

- Physics
- 2016

This study examines quaternion Dirac solutions for an infinite square well. The quaternion result does not recover the complex result within a particular limit. This raises the possibility that…

### Quaternionic Quantum Particles

- PhysicsAdvances in Applied Clifford Algebras
- 2019

Solutions of quaternionic quantum mechanics (QQM) are difficult to grasp, even in simple physical situations. In this article, we provide simple and understandable free particle quaternionic…

### Virial theorem and generalized momentum in quaternionic quantum mechanics

- PhysicsThe European Physical Journal Plus
- 2020

After a review on recent results on quaternionic quantum mechanics ( $${{\mathbb {H}}}\hbox {QM}$$ H QM ), we present further consistency tests that reinforce its compatibility with the usual complex…

### Square-well potential in quaternionic quantum mechanics

- Physics, MathematicsEPL (Europhysics Letters)
- 2020

The one-dimensional infinite square well is the simplest solution of quantum mechanics, and consequently one of the most important. In this paper, we provide this solution using the real Hilbert…

### Scattering Study of Fermions Due to Double Dirac Delta Potential in Quaternionic Relativistic Quantum Mechanics

- Physics
- 2017

Scattering discussion due to Double Dirac Equation in Quaternionic version of relativistic quantum mechanics has been studied in this paper in details. In such a quantum mechanics Dirac equation in…

### Delay Time in Quaternionic Quantum Mechanics

- Physics
- 2012

In looking for quaternionic violations of quantum mechanics, we discuss the delay time for pure quaternionic potentials. The study shows in which energy region it is possible to amplify the…

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