24 citations · 45 across the 4 of their papers we have counts for
7 papers
Dirac Hamiltonian and Reissner-Nordstrom Metric: Coulomb Interaction in Curved Space-Time
J. H. Noble, U. D. Jentschura
We investigate the spin-1/2 relativistic quantum dynamics in the curved space-time generated by a central massive charged object (black hole). This necessitates a study of the coup…
Ultrarelativistic Decoupling Transformation for Generalized Dirac Equations
J. H. Noble, U. D. Jentschura
The Foldy--Wouthuysen transformation is known to uncover the nonrelativistic limit of a generalized Dirac Hamiltonian, lending an intuitive physical interpretation to the effective…
Gravitational Interactions and Fine-Structure Constant
U. D. Jentschura, J. H. Noble, I. Nandori
Electromagnetic and gravitational central-field problems are studied with relativistic quantum mechanics on curved space-time backgrounds. Corrections to the transition current are…
Dirac Equations with Confining Potentials
J. H. Noble, U. D. Jentschura
This paper is devoted to a study of relativistic eigenstates of Dirac particles which are simultaneously bound by a static Coulomb potential and added linear confining potentials.…
Foldy-Wouthuysen Transformation, Scalar Potentials and Gravity
U. D. Jentschura, J. H. Noble
We show that care is required in formulating the nonrelativistic limit of generalized Dirac Hamiltonians which describe particles and antiparticles interacting with static electric…
Nonrelativistic Limit of the Dirac-Schwarzschild Hamiltonian: Gravitational Zitterbewegung and Gravitational Spin-Orbit Coupling
U. D. Jentschura, J. H. Noble
We investigate the nonrelativistic limit of the gravitationally coupled Dirac Equation via a Foldy-Wouthuysen transformation. The relativistic correction terms have immediate and o…