Quaternionic perturbation theory
arXiv:1903.07719 · doi:10.1140/epjp/i2019-12626-x
Abstract
In this paper we present a perturbation theory for constant quaternionic potentials. The effects of quaternionic perturbations are explicitly treated for bound states of hydrogen atom, infinite potential well and harmonic oscillator. Comparison with relativistic corrections is also briefly discussed.
15 pages, 4 figures
References in corpus (8)
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Cited by in corpus (12)
- Quaternionic quantum mechanics in real Hilbert space
- Virial theorem and generalized momentum in quaternic quantum mechanics
- Quaternionic quantum particles
- Quaternionic quantum harmonic oscillator
- Quaternionic elastic scattering
- Spin and angular momentum in quaternionic quantum mechanics
- Self-interacting quantum particles
- Square-well potential in quaternic quantum mechanics
- Quaternionic quantum particles: new solutions
- Self-interacting quantum particles and the Dirac delta potential
- Quantum self-interaction within an infinitely deep cavity
- The quaternionic Goos-Haenchen shift