Quantum Dynamics in Regions of Quaternionic Curvature
S. P. Brumby, G. C. Joshi
Abstract
The complex unit appearing in the equations of quantum mechanics is generalised to a quaternionic structure on spacetime, leading to the consideration of complex quantum mechanical particles whose dynamical behaviour is governed by inhomogeneous Dirac and Schrödinger equations. Mixing of hyper-complex components of wavefunctions occurs through their interaction with potentials dissipative into the extra quaternionic degrees of freedom. An interferometric experiment is analysed to illustrate the effect.
Create a lesson
Related papers
On the universality of entanglement entropy in quantum field theory
Orr Sela
Negative Junction Logarithms in Scalar Multipartite Entanglement
Chen-Te Ma
A Ghost-Free dS/AdS Correspondence in N=1 Supergravity
Omer Guleryuz
Hermitian matrix-valued nonlocal deformation of the SU(N) Thirring model at large N
J. R. Nascimento, P. J. Porf\'ırio, C. Furtado
Obstruction to local entropy laws on arbitrary black-hole cuts in five-dimensional Einstein--Gauss--Bonnet gravity
Cendikiawan Suryaatmadja, Robert B. Mann
Hamiltonian of open string field theory for time-dependent solutions
Vinícius Bernardes, Riccardo Poletti