Department of Physics & Materials Science: Recent submissions
Now showing items 81-100 of 158
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A study of the Equatorial Ionosphere over Nairobi During selected magnetically disturbed and quiet times for the year 2009 Using co-located instruments
(ARC, 2014)Investigation of the behavior of the Equatorial Ionosphere over Nairobi-Kenya within the East Africa region is done using co-located instruments, that is, SCINDA-GPS system and a Magnetometer ( MAGDAS). This was done for ... -
Complex Spacetime Frame: Four-Vector Identities and Tensors
(Scientific Research Publishing, 2014)This paper provides derivation of some basic identities for complex four-component vectors defined in a complex four-dimensional spacetime frame specified by an imaginary temporal axis. The resulting four-vector identities ... -
Some new features of photon statistics in a fully quantized parametric amplification process
(Scientific Research Publishing, 2014)An exact quantum treatment reveals that signal and idler photon number operators are not wellbehaved dynamical operators for studying photon statistics in parametric amplification/downconversion processes. Contrary to ... -
Exact analytical solutions for fully quantized parametric oscillation dynamics
(Routledge, 2013)In this paper, a simple method for obtaining general analytical solutions of the time evolution equations for a fully quantized parametric oscillation process is developed. Heisenberg’s equations for the signal–idler photon ... -
A Direct Calculation of First-Order Wave Function of Helium
(IOP Publishing, 2010)We develop a simple analytic calculation for the first order wave function of helium in a model in which nuclear charge screening is caused by repulsive coulomb interaction. The perturbation term, first-order correlation ... -
Generalized relativistic dynamics in a non-inertial reference frame
(Springer-Verlag, 2010)Generalized relativistic field equations have been derived for dynamics in a non-inertial reference frame interpreted as a Finsler space where events are specified by both spacetime coordinates and corresponding velocities ... -
Revisiting non-degenerate parametric down-conversion
(Springer-Verlag, 2008)he quantum dynamics of a two-mode non-resonant parametric down-conversion process is studied by recasting the time evolution equations for the basic operators in an equivalent spin equation form with simpler exact solutions ... -
Complex Spacetime Frame: Four-Vector Identities and Tensors
(Scientific Research Publishing, 2014)This paper provides derivation of some basic identities for complex four-component vectors defined in a complex four-dimensional spacetime frame specified by an imaginary temporal axis. The resulting four-vector identities ... -
First Order Expectation Values of Electron Correlation Operators for Two-Electron Atoms
(SPG, 2015)Simple analytic first-order wave functions corresponding to two-electron atoms electron correlation operators are obtained by reduction of the Rayleigh-Schrödinger first order perturbation equation to that of one-electron ... -
Progressively accurate WKB approximations through factorization and successive boost transformations
(Research gate, 2015)This paper develops a procedure for obtaining progressively improving approximate solutions of the WKB (semiclassical ) model of the stationary Schroedinger equation through factorization and successive boost transformations ... -
Composite Hermite and Anti-Hermite Polynomials
(Scientific Research Publishing, 2015)The Weber-Hermite differential equation, obtained as the dimensionless form of the stationary Schroedinger equation for a linear harmonic oscillator in quantum mechanics, has been expressed in a generalized form through ... -
Quantum thermodynamics of a strongly interacting bose-fermi mixture in a three-dimensional anharmonic potential
(Research gate, 2016)ABSTRACT Thermodynamic properties of Bose-Fermi mixture at ultra-low temperatures were studied using perturbation theory in three Cartesian coordinates. The Hamiltonian for the mixture was developed in terms of boson-boson, ... -
On a complex spacetime frame: new foundation for physics and mathematics
(Research gate, 2016)This paper provides a derivation of a unit vector specifying the temporal axis of four-dimensional space-time frame as an imaginary axis in the direction of light or general wave propagation. The basic elements of the ... -
Fundamental quantum noise in a fully quantized degenerate parametric amplification process
(Research gate, 2016)An exact analytical solution of the time-dependent Schroedinger equation for a fully quantized degenerate parametric amplification process generated by quantized multi-mode pump photons provides a quantized multi-photon ... -
The Test of Entanglement of Polarization States of a Semi-Classical Optical Parametric Oscillator
(Science Publishing Group, 2017)We study the dynamical continuous variable entanglement in a semi-classical Optical parametric oscillator (OPO). The general time evolving photon polarization state vectors arising from exact analytical solutions of ... -
Polariton and anti-polariton qubits in the Rabi model
(Research gate, 2017)This paper presents a precise algebraic and physical framework for studying the dynamics and practical applications of the quantum Rabi model. We redefine the quantum Rabi interaction in terms of polariton and anti-polariton ... -
Quadrature fluctuation energy, effective Hamiltonians, quasi-particle modes and quantum phase transitions in the Rabi and Dicke models
(Research gate, 2017)The main purpose of this article is to provide a simple physically motivated exact analytical procedure for determining effective Rabi and Dicke Hamiltonians, which have so far posed serious challenges in studies of ... -
Conserved excitation number and U(1)-symmetry operators for the anti-rotating (anti-Jaynes-Cummings) term of the Rabi Hamiltonian
(Research gate, 2017)+ hω0sz+ hg (ˆa+ ˆa†)(s++ s−)(1a) where ω, ˆa, ˆa† are the quantized field mode angular frequency, annihilation and creation operators, while ω0, sz, s+, s− are the atomic state transition angular frequency and operators. ... -
A note on momentum and energy conservation in dynamics under arbitrary forces in classical Newtonian and relativistic mechanics
(Research gate, 2018)In teaching mechanics course to first year undergraduate students, I have come across a simple, but very important, gap in the formulation of the principle of conservation of momentum and energy in the dynamics of a body ... -
Determining SU (N) symmetry group generators
(Research gate, 2018)SU(N) symmetry groups are useful in formulating gauge theories of elementary particle interactions in quantum field theory. Gauge bosons and particle states are associated with the symmetry group generators. The accuracy ...