CONTENTS -- Organizing Committees -- List of Participants -- Preface by Asghar Qadir -- Part A Formal Aspects -- Geometric spectral inversion Richard L. Hall -- 1. Introduction -- 2. Constructive inversion -- 2.1. The reconstruction of f(x) near x = 0 -- 3. The tail of the wavefunction -- 4. Constructive inversion algorithm -- 5. Some examples -- 6. Kinetic potentials -- 7. Envelope theory -- 8. Functional inversion -- 9. Functional inversion for pure powers -- 10. A more general example -- 11. Conclusion -- Acknowledgements -- References -- Heun functions and their uses in physics M. Hortacsu -- 1. Introduction -- 2. Dirac equation in the background of the Nutku helicoid metrica -- 3. Scalar field in the background of the extended Eguchi-Hanson solutionb -- 4. Derivation of a new generalized Heun equationc -- Acknowledgments -- References -- Coxeter groups, quaternions, symmetries of polyhedra and 4D polytopes Mehmet Koca, N. Ozde s Koca -- 1. Introduction -- 2. Finite subgroups of quaternions -- 2.1. Quaternions and O(4) transformations -- 2.2. Finite subgroups of quaternions -- 3. Correspondence between the rank-4 Coxeter-Weyl groups and the finite subgroups of quaternions -- 4. Rank-3 Coxeter-Weyl groups and polyhedra -- 4.1. The tetrahedral group W(A3) S -- 4.2. The octahedral group W(B3) S4 C2 -- 4.3. The icosahedral symmetry W(H3) A5 C2 -- 4.4. Catalan solids -- 5. Rank-4 Coxeter groups and 4D polytopes -- 5.1. The Coxeter group W(B4) of order 384 -- 5.2. The Coxeter group W(F4) of order 1152 -- 5.3. The Coxeter group W(H4) W(E8) -- 5.4. The Coxeter group W(A4) of order 120 -- 6. Quasi regular polygonal tiling with the Coxeter symmetry Dn -- 7. Concluding remarks -- References -- Hermite-Bernoulli 2D polynomials Burak Kurt, Veli Kurt -- 1. Introduction, Definitions and Notations.

2. Hermite-Bernoulli Polynomials, Hermite-Apostol-Bernoulli Polynomials -- Acknowledgments -- References -- Symmetry classification of coupled heat-diffusion systems via low dimensional Lie algebras F. M. Mahomed, M. Molati -- 1. Introduction -- 2. Symmetry classification -- 3. Classification results -- 4. Conclusion -- Acknowledgements -- References -- Green's functions and transition amplitudes for time-dependent linear harmonic oscillator with linear time-dependent terms added to the Hamiltonian M. A. Rashid, M. U. Farooq -- 1. Introduction -- 2. The Model -- 3. The Green's Function -- 4. Transition Amplitudes -- Evaluation of the integral -- References -- Time dependent harmonic oscillator and quasi-coherent states Nuri Unal -- 1. Introduction -- 2. Time dependent harmonic oscillators -- 2.1. Action -- 2.2. Quantum equations -- 2.3. The expectation values and uncertainties -- 3. Special cases -- 4. Conclusion -- 5. Acknowledgements -- References -- Part B General Relativity and Cosmology -- Integrability conditions for conformal Ricci collineation equations M. Afzal, U. Camci, K. Saifullah -- 1. Introduction -- 2. Spacetime symmetries -- 3. Conformal Ricci collineation equations -- 4. Integrability conditions -- 5. Conclusion -- Acknowledgments -- References -- Noether symmetries of geodesic equations in spacetimes Ibrar Hussain -- 1. Introduction -- 2. Preliminaries -- 3. Noether Symmetries of Geodesic Lagrangians in Conformally Flat Spacetimes -- 4. Summary and Discussion -- Acknowledgments -- References -- Universal features of gravity and higher dimensions Naresh Dadhich -- 1. Introduction -- 2. Why higher dimensions? -- 3. Bianchi derivative -- 4. Lovelock vacuum solutions -- 5. Uniform density sphere -- 5.1. Einstein case -- 5.2. Gauss-Bonnet(Lovelock) case -- 6. Discussion -- Acknowledgments -- References.

Some interesting consequences of f(R) theory of gravity Muhammad Sharif, Hafiza Rizwana Kausar -- 1. Introduction -- 2. Review of Exact Solutions -- 2.1. Constant Curvature Solution -- 2.1.1. Plane symmetric vacuum solution -- 2.2. Non-constant Curvature Solutions -- 2.2.1. Vacuum solution of Bianchi type I universe -- 2.2.2. Non-vacuum solution of Bianchi type V I0 universe -- 3. Dynamics of Gravitational Collapse -- 3.1. Fluid Distribution and the Field Equations -- 3.2. Dynamical Equations -- 4. Summary -- Acknowledgment -- References -- Part C Quantum Gravity -- Stress-energy connection: Degravitating the vacuum energy Durmus Ali Demir -- 1. Introduction -- 2. Stress-Energy Connection and Cosmological Constant -- 3. More on the Formalism -- 3.1. Answer to Question 1 -- 3.2. Answer to Question 2 -- 3.3. Answer to Question 3 -- 4. Conclusion -- Acknowledgements -- References -- The information loss paradox and the holographic principle Asghar Qadir -- 1. Introduction -- 2. Black Hole Thermodynamics and Hawking Radiation -- 3. The Information Loss Paradox -- 4. The Qadir-Wheeler Suture Model and Information Loss -- 5. Conclusion -- Acknowledgments -- References -- Part D Quantum Field Theory -- Generalized noncommutative gauge theory F. Ardalan -- 1. Introduction -- 2. Generalization of the Star Product -- 3. New NC Gauge Theory -- References -- CP violation and avor physics in gauge-Higgs unification scenario C. S. Lim -- 1. Introduction -- (i) Dimensional deconstruction -- (ii) Little Higgs model -- (iii) Superstring theory -- (iv) Application to cosmology -- 2. Minimal GHU model -- 3. CP violation in GHU -- 3.1. CP violation due to compactification -- 3.2. CP violation due to the VEV of the Higgs -- 4. Flavor Physics in GHUa -- 4.1. Flavor changing neutral current (FCNC) processes -- 4.2. GIM-like mechanism -- 4.3. FCNC process: K0 0 mixing.

5. Summary -- References -- Hidden quantum-mechanical supersymmetry in extra dimensions Makoto Sakamoto -- 1. Introduction -- 2. Minimal Supersymmetry Algebra -- 3. 5d Scalar -- 4. 5d Spinor -- 5. 5d Vector -- 6. 5d Gravity -- 7. Conclusions -- Acknowledgments -- References -- On chiral and nonchiral 1D supermultiplets Francesco Toppan -- 1. Introduction -- 2. Quaternions, octonions and the N = 4 -- 8 root supermultiplets: are they chiral? -- 3. Irreducible N = 5 -- 6 -- 7 supermultiplets are nonchiral, reducible supermultiplets are chiral -- 4. Weyl on the Leibniz-Clarke debate on the nature of space -- 5. Conclusions -- Appendix A -- Acknowledgments -- References -- Part E Applied Physics -- Application of perturbation theory to elastic models of DNA B. Eslami-Mossallam, M. R. Ejtehadi -- 1. Introduction -- 2. Models and Methods -- 2.1. General formalism of local elastic rod models -- 2.2. Wormlike chain model -- 2.3. Asymmetric elastic rod model -- 2.4. Perturbation theory for the calculation of the force-extension relation in the anisotropic wormlike model -- 2.5. Perturbation theory for the calculation of the persistence length in the asymmetric elastic rod model -- 3. Results and Discussion -- 4. Conclusion -- References -- Electromagnetic studies of ionospheric and magnetospheric perturbations associated with the earth, atmospheric and astrophysical phenomena S. R. Tojiev, V. S. Morozova, B. J. Ahmedov, H. E. Eshkuvatov -- 1. Introduction -- 2. TEC extraction -- 2.1. Total Electron Content -- 2.2. Method of analysis and results -- 2.3. Ionospheric perturbations caused by the Tashkent earthquake -- 2.4. Ionospheric perturbations caused by the Solar eclipse -- 3. VLF study -- 3.1. Experimental Setup -- 3.2. Tweek radio atmospherics -- 3.3. Studying earthquakes using VLF narrowband data -- 4. Deathline for the rotating and oscillating magnetars.

5. Conclusion -- Acknowledgments -- References.