THEORETICAL PHYSICS RESEARCH DEVELOPMENTS -- THEORETICAL PHYSICS RESEARCH DEVELOPMENTS -- CONTENTS -- PREFACE -- COMMENTARY ON THE PRIOR ERRORS FOR CONSERVATION OF MOMENTUM -- 1. Foreword and Problem Statement -- 2. Comprehensive Derivation of Conservation Equation for Momentum on A Fluid Element -- Symbols and Notation -- DARK ENERGY AS THE SOURCE OF THE TIME DEPENDENT EINSTEIN COSMOLOGICAL CONSTANT -- Abstract -- Introduction -- 1. Universal Relaxation Processes -- 2. Time Dependent Cosmological Constant Λ -- References -- NON-LINEAR REFRACTIVE INDEX THEORY: I-GENERALIZED OPTICAL EXTINCTION THEORY AND DISPERSION RELATIONS -- Abstract -- 1.Introduction -- 2.ModelEquations -- 3.GeneralizedOpticalExtinctionTheorem -- 4.OpticalBistabilityintheSmallDensityLimit -- Summary -- AppendixA -- References -- QUANTUM COHERENCE AND TUNABLE TRANSIENT BEHAVIOR OF A DOUBLE-CONTROL FOUR-LEVEL ATOMIC VAPOR -- Abstract -- 1.Introduction -- 2.Double-ControlAtomicSystemandItsSteadyOpticalBehavior -- 3.QuantumInterferencesintheFour-LevelSystem -- 4.TheTunableTransientEvolutionalBehavior:ConstructiveandDestructiveInterferences -- 5.ApplicationstothePhotonicLogicGatesandOpticalSwitches -- 6.ConcludingRemarks -- Acknowledgment -- References -- APPLICATION OF GEANT4 CODE IN GAMMA IRRADIATION PROCESSING -- Abstract -- 1.Introduction -- 2.DosimetryQualityControlinGammaIrradiationProcessing -- 2.1.60CoFacilityDesign -- 2.2.StructureandOperationoftheGEANT4CodeSystem -- 3.ExperimentalBenchmarks -- 3.1.SpecialPointswithintheCell -- 3.2.TransversalDoseRateDistribution -- 3.3.LongitudinalDoseRateDistribution -- 3.4.3DDoseRateMappingofaPhantomProduct -- 4.ApplicationsofGEANT4 -- 4.1.OptimizationofSomeParametersoftheTreatmentProcess -- 4.2.ImprovementofDoseUniformity -- 5.Conclusion -- References -- STUDY OF ATOMIC ENTANGLEMENT IN MULTIMODE CAVITY OPTICS -- Abstract.

I. Introduction -- II. Atom-Field Interaction Hamiltonian -- III. Population Dynamics and Atomic Entanglement for a Single Mode Field -- IV. Entanglement of Two Atoms through Multimode (1>m) Dynamics -- V. Conclusion -- Acknowledgment -- References -- ANALYTICAL EXPRESSION FOR P-3HE TOTAL REACTION CROSS SECTION -- Abstract -- 1. Introduction -- 2. Mathematical Formulation -- 3. Results and Conclusion -- Acknowledgments -- References -- RADIATIVE TRANSITIONS OF MESONS IN AN INDEPENDENT-QUARK POTENTIAL MODEL -- Abstract -- 1.Introduction -- 2.BasicFormalism -- 3.EnergyCorrectionstotheGround-StateMesonMasses -- 3.1.Center-of-massCorrection -- 3.2.One-GluonExchangeCorrection -- 3.3.ThePhysicalMassoftheGround-StateMeson -- 4.EffectiveMomentumDistributionFunction -- 5.RadiativeDecayWidthsbeyondStaticApproximation -- 6.ResultsandDiscussion -- A.HyperfineSplittingsofNon-self-conjugateMesons -- B.BeyondStaticCalculationofRadiativeTransitions -- Acknowledgment -- References -- LASER PROTOTYPING OF POLYMER-BASED NANOPLASMONIC COMPONENTS -- Abstract -- Introduction -- Laser Nanomanufacturing of SPP Optical Elements -- Fabrication of Optical Waveguiding Dielectric Components -- Leakage Radiation Imaging -- Nanoplasmonic Components -- Acknowledgments -- References -- AN APPROXIMATION METHOD FOR DETERMINATION OF THE COUPLING CONSTANT AND CHARGED PION FORM FACTOR AT 22Q=0.6-1.6GeVAND 22Q=2.45 GeV -- Abstract -- 1. Introduction -- 2. The Model -- 3. Calculations and Results -- References -- HUBBARD MODEL AND FERROELECTRIC PHASE TRANSITION IN GRAPHENE -- Abstract -- Introduction -- Basic Equations -- 3. Calculation Results -- Conclusion -- References -- STUDY OF PRESSURE DEPENDENCE SUPERCONDUCTING STATE PARAMETERS OF BINARY METALLIC GLASSES BY PSEUDOPOTENTIAL THEORY -- Abstract -- Introduction -- 2. Computational Technique -- 3. Results and Discussion.

4. Conclusion -- References -- CONTROL OVER GROUP VELOCITY IN A THREE LEVEL CLOSED LADDER SYSTEM WITH SPONTANEOUSLY GENERATED COHERENCE -- Abstract -- 1.Introduction -- 2.Theory -- 2.1.TheSystemandDensityMatrixEquations -- 2.2.TheAnalyticalSolutions -- 3.ResultsandDiscussions -- 3.1.EffectofRelativePhaseonSusceptibilityandGroupIndexofProbeField -- 3.2.EffectofIncoherentPumponSusceptibilityandGroupIndexofProbeField -- 3.3.RealizationofSGCinLadderSystem -- 4.Conclusion -- References -- MODELLING OF MICROCRACKED BODIES USING THE CONCEPT OF CRACK OPENING MODE -- 1.AimandFrameworkoftheStudy -- 2.Micro-MacroTransitionfortheUnilateralEffectofDamageandtheDisplacementJumps -- 3.EquivalentMaterialSymmetryGroup,InducedAnisotropyandConsequences -- 4.DefinitionoftheCrackOpeningModeofaMicrocrackedBodyintheFrameworkofDamageMechanics -- 4.1.ExtensionoftheCrackOpeningModeofFractureMechanics -- 4.2.ExpressionoftheModeandRadiusVariablesUsingMacroscopicDis-placementJumps -- 4.3.ExpressionoftheModeandRadiusVariablesUsingMacroscopicStrainorStress -- 4.4.IllustrationoftheCrackOpeningModeforDamageMechanicsandRemarks -- 5.Extension:TakingintoAccounttheIrreversibleStrainPhenomenon -- 6.Application:AGeneralHyperelasticBehaviorLawforaMicrocrackedBody -- 6.1.FrameworkoftheModel -- 6.2.VectorialDescriptionoftheDamagePhenomenon -- 6.3.StateFunction -- 6.4.StateLawsandJustificationoftheHyperelasticCharacteroftheBehaviorLaw -- 6.5.DamageEvolutionLaw -- 6.6.ContinuityandConvexityConditions -- 6.7.RemarksontheInducedAnisotropyandtheDeactivationofDamage -- 6.8.IdentificationoftheModel -- 6.9.Application -- 6.9.1.DescriptionoftheMaterialandDamagePhenomenon -- 6.9.2.IdentificationoftheBehaviorLaw -- 6.9.3.IdentificationoftheDamageEvolutionLaw -- 6.9.4.CharacteristicFunctioningoftheModel -- 6.9.5.ComparisonbetweenExperienceandSimulation -- 7.Conclusion.

8.Appendix:BuildingoftheObjectiveStateFunction[35][36] -- References -- INDEX.