17 citations · 43 across the 11 of their papers we have counts for
11 papers
The Vector and Canonical Components of the Momentum Operator in 3D Euclidean Space Spanned by General Curvilinear Coordinates
M. S. Shikakhwa
We construct the Hermitian vector and canonical components of the momentum operator in 3D Euclidean space spanned by general curvilinear coordinates (GCC's) using a simple, natural…
Hamiltonian, Geometric Momentum and Force Operators for a Spin Zero Particle on a Curve: Physical Approach
M. S. Shikakhwa, N. Chair
The Hamiltonian for a spin zero particle that is confined to a curve embedded in the 3D space is constructed by squeezing the coordinates spanning a tube normal to the curve onto t…
Spin Force and Torque in Non-relativistic Dirac Oscillator on a Sphere
M. S. Shikakhwa
The spin force operator on a non-relativistic Dirac oscillator ( in the non-relativistic limit the Dirac oscillator is a spin one-half 3D harmonic oscillator with strong spin-orbit…
Hermitian and Gauge-Covariant Hamiltonians for a particle in a magnetic field on Cylindrical and Spherical Surfaces
M. S. Shikakhwa, N. Chair
We construct the Hermitian Schrödinger Hamiltonian of spin-less as well as the gauge-covariant Pauli Hamiltonian of spin one-half particles in a magnetic field that are confined to…
Hamiltonian for a particle in a magnetic field on a curved surface in orthogonal curvilinear coordinates
M. S. Shikakhwa, N. Chair
The Schrödinger Hamiltonian of a spin zero particle as well as the Pauli Hamiltonian with spin-orbit coupling included of a spin one-half particle in electromagnetic fields that ar…
Derivation of the magnetization current from the non-relativistic Pauli equation: A comment on "The quantum mechanical current of the Pauli equation" by Marek Nowakowski [Am.J.Phys.67(10), 916-919 (1999)]
M. S. Shikakhwa, S. Turgut, N. K. Pak
The magnetization current that appears in the non-relativistic limit of the Dirac equation is derived starting from the Pauli equation.
SU(2) Symmetry and Conservation of Helicity for a Dirac Particle in a Static Magnetic Field at First Order
M. S. Shikakhwa, A. Albaid
We investigate the spin dynamics and the conservation of helicity in the first order matrix of a Dirac particle in any static magnetic field. We express the dynamical quantitie…
Scalar Pair Production in the Aharonov-Bohm Potential
G. Y. Shahin, M. S. Shikakhwa
In the framework of QED, scalar pair production by a single linearly polarized high-energy photon in the presence of an external Aharonov-Bohm potential is investigated. The exact…
The Spin Interaction of a Dirac Particle in an Aharonov-Bohm Potential in First Order Scattering
A. Albeed, M. S. Shikakhwa
For a Dirac particle in an Aharonov-Bohm (AB) potential, it is shown that the spin interaction (SI) operator which governs the transitions in the spin sector of the first order S-m…
Perturbative Study of Bremsstrahlung and Pair-Production by Spin-1/2 Particles in the Aharonov-Bohm Potential
U. A. al-Binni, M. S. Shikakhwa
In the presence of an external Aharonov-Bohm potential, we investigate the two QED processes of the emission of a bremsstrahlung photon by an electron, and the production of an ele…
Dirac Particle in an Aharonov-Bohm Potential: The Structure of the First Order S-matrix
M. S. Shikakhwa
The structure of the interaction Hamiltonian in the first order matrix element of a Dirac particle in an Aharonov-Bohm (AB) field is analyzed and shown to have interesting alge…