School of Biological and Physical Science: Recent submissions
Now showing items 381-400 of 954
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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 ... -
SU (N) generator spectrum
(Research gate, 2018)This paper provides an accurate mathematical method for determining SU(N) symmetry group generators in a general N-dimensional quantum state space. We identify the generators as well-defined quantum state transition and ... -
Photospins in the quantum Rabi model
(Research gate, 2019)This article provides a systematic interpretation of the quantum Rabi model as a model of photospins formed in the atom-field Jaynes-Cummings and anti-Jaynes-Cummings interaction mechanisms. A photospin is a quantized ... -
Shell structure of the SU (N) generator spectrum: interpretation as spin angular momentum operators
(Research gate, 2020)We have established that SU(N) symmetry group generators occur in a spectrum with a quantum structure composed of N − 1 configuration shells each containing a definite number of symmetric and antisymmetric pairs of ... -
Quasiparticle spinors in light-matter interactions: generalized Jaynes-Cummings and antiJaynes-Cummings models
(Research gate, 2020)Seeking a clear understanding of the physical nature of quasiparticle excitations formed in the JaynesCummings and antiJaynes-Cummings interaction mechanisms in the quantum Rabi model, we have introduced appropriate composite ... -
The Question of Elitism, Medium and Audience in African Literature: Examples from Kiswahili Short Story
(Academia.edu, 2014)Since the Makerere Conference of 1962, the question of what is ‘African Literature’ has remained unresolved. To a large extent a great number of scholars led by Ngugi reduced the whole question to that of language. This ... -
NaCl salinity affects germination, growth, physiology, and biochemistry of bambara groundnut
(Sociedade Brasileira de Fisiologia Vegetal, 2012)The effects of NaCl salinity on seed germination, growth, physiology, and biochemistry of two bambara groundnut landraces (Vigna subterranea (L.) Verdc), Kakamega (white seed coat) and Mumias (red seed coat), were investigated ... -
Aquaculture strategy for restoration of Threatened Lake Victoria fishes: The case for Oreochromis variabilis (Boulenger, 1906) and Labeo victorianus (Boulenger, 1901)
(KMFRI Sangoro Aquaculture Research Station, PO Box 136, PAP-ONDITI, Kenya, 2 School of Environmental Studies, Moi University, PO Box 3900, ELDORET, Kenya, 2014)The endemic Oreochromis variabilis and L. victorianus are among Lake Victoria’s most threatened fish species whose population sizes are on the decline. This study, carried out between August 2000 and April 2001, aimed at ... -
Spatial variations in nutrients and other physicochemical variables in the topographically closed Lake Baringo freshwater basin (Kenya)
(Lakes & Reservoirs: Research & Management, 2014)Spatial physicochemical parameters were determined from 39 sampling sites distributed throughout Lake Baringo during December 2010. Mean values of temperature, dissolved oxygen concentration and electrical conductivity ... -
Recent limnological changes and their implication on fisheries in Lake Baringo, Kenya
(Academic Journals, 2014)Water samples for physico-chemical analysis for this study were collected monthly for five years between April 2008 and March 2013. Conductivity, temperature, dissolved oxygen and pH was measured in situ using a Surveyor ... -
The potential of Zea mays, Commelina bengelensis, Helianthus annuus and Amaranthus hybridus for phytoremediation of waste water
(Instituto de Pesquisas Ambientais em Bacias Hidrográficas, 2012-12)Waste-water from domestic use and from industrial effluent burden the water systems with high levels of heavy metal hence there is need to remove these heavy metals so that the waste water can be recycled for use for ...
