Contents -- Foreword -- Preface -- 1. Is the End of Theoretical Physics Really in Sight? A. Khare -- Contents -- 1.1. Research vs Teaching instead of Research and Teaching in India -- 1.2. Is End of Theoretical Physics in Sight? -- 1.3. Remarkable Developments in Physics from 1900 to 1979 -- 1.4. Developments From 1980 to 2007 -- 1.4.1. Revolution in Information Technology -- 1.5. Was Hawking Right In His Assertion? -- 1.6. Conclusions -- References -- Relativity, Gravitation and Astro-Particle Physics -- 2. Holography, CFT and Black Hole Entropy P. Majumdar -- Contents -- 2.1. Introduction -- 2.2. Holographic Hypothesis -- 2.3. Weakly Isolated Horizons -- 2.4. Loop Quantum Gravity : Spin Network Basis in brief -- 2.5. Quantum Isolated Horizon -- 2.5.1. Counting of CS states -- 2.6. Low-tech way : It from Bit -- 2.7. Radiant Black Holes -- 2.7.1. Saddle Point Approximation -- 2.7.2. Schwarzschild Black Hole -- 2.7.3. AdS Schwarzschild Black Hole -- 2.8. Questions Yet to be Resolved -- References -- 3. Hawking Radiation, E ective Actions and Anomalies R. Banerjee -- Contents -- 3.1. Introduction -- 3.2. General Discussion on Covariant and Consistent Anomalies -- 3.3. Covariant Gauge Anomaly and Charge Flux -- 3.4. Consistent Gauge Anomaly and Charge Flux -- 3.5. Covariant Gravitational Anomaly and Energy-Momentum Flux -- 3.6. Effective Actions and Unruh Vacuum -- 3.6.1. Charge and Energy Flux -- 3.6.2. Connection with Unruh vacuum -- 3.7. Higher Spin Anomaly and Hawking Flux -- 3.8. Discussions -- Acknowledgment -- References -- 4. Probing Dark Matter in Primordial Black Holes A. S. Majumdar -- Contents -- 4.1. Introduction -- 4.2. Primordial Black Holes in Standard Cosmology -- 4.3. Black Holes in Alternate Gravity Theories -- 4.4. Braneworld Cosmology with Black Holes -- 4.5. Observational Constraints and Binary Formation.

4.6. Observables of Strong Gravitational Lensing -- 4.7. Conclusions -- References -- 5. Physics in the `Once Given' Universe C. S. Unnikrishnan -- Contents -- 5.1. Introduction -- 5.2. Cosmic Relativity -- 5.2.1. The gravitational potentials of the universe -- 5.2.2. Cosmic potentials and the gravitational metric -- 5.2.3. Rates of clocks and clock comparison experiments -- 5.3. The Laws of Motion, Equivalence Principle and the Pseudo-Forces -- 5.4. Quantum Mechanics and the Cosmic Gravitational Potentials -- 5.4.1. Spectral fine structure and matter-wave interferometry -- 5.4.2. The Spin-Statistics Connection -- 5.5. The One-Way Speed of Light -- 5.6. General Relativity and Cosmic Relativity -- 5.7. Conclusions -- References -- High Energy Physics, Nuclear Physics and Quantum Mechanics -- 6. Doubly-Special Relativity G. Amelino-Camelia -- Contents -- 6.1. Introduction -- 6.2. Relativity, Doubly Special -- 6.2.1. Motivation -- 6.2.2. Defining the concept -- 6.2.3. A falsifiable proposal -- 6.3. More on the Concept (a true-false exercise) -- 6.3.1. DSR not equivalent to Special Relativity -- 6.3.2. Not necessarily involving the k-Poincare Hopf algebra -- 6.3.3. Not any deformation, but a certain class of deformations of Special Relativity -- 6.3.4. A physics picture leading to DSR and the possibility of DSR approximate symmetries -- 6.3.5. Not any fundamental length scale -- 6.3.6. And the same type of scale may or may not be DSR compatible -- 6.3.7. Classical spacetime not a possibility when photon speed is wavelength dependent -- 6.4. More on the Use of Hopf Algebras in DSR Research -- 6.4.1. A Hopf-algebra scenario with k-Poincare structure -- 6.4.2. A Hopf-algebra scenario without k-Poincare and without modied dispersion relations -- 6.5. DSR Scenarios and DSR Phenomenology.

6.5.1. A toy-model DSR-scenario test theory, confined to leading order -- 6.5.2. On the test theory viewed from an (unnecessary) allorder perspective -- 6.5.3. Photon stability -- 6.5.4. Weak threshold anomalies for particle reactions -- 6.5.5. Wavelength dependence of the speed of light -- 6.5.6. Crab-nebula synchrotron radiation data not significant -- 6.6. Some Other Results and Valuable Observations -- 6.6.1. A 2+1D DSR theory? -- 6.6.2. A path for DSR in Loop Quantum Gravity? -- 6.6.3. Maximum momentum, maximum energy, minimum wavelength -- 6.6.4. Deformed Klein-Gordon/Dirac equations -- 6.6.5. The "soccerball noproblem" -- 6.6.6. Curvature in energy-momentum space -- 6.6.7. A gravity rainbow? -- 6.7. Some Recent Proposals -- 6.7.1. A phase-space-algebra approach -- 6.7.2. Finsler geometry -- 6.7.3. A 5D perspective -- 6.7.4. Everything rainbow -- 6.8. Closing Remarks -- References -- 7. Nuances of Neutrinos A. Raychaudhuri -- Contents -- 7.1. Introduction -- 7.2. Neutrino Oscillations -- 7.2.1. Two flavors -- 7.2.2. Matter effects -- 7.2.3. Three flavors -- 7.2.4. Open issues -- 7.3. INO -- 7.3.1. ICAL: genesis and plans -- 7.3.2. The ICAL detector -- 7.3.2.1. Detector Structure -- 7.3.2.2. Active Detector Elements -- 7.3.2.3. Present Status -- 7.3.3. Up/Down asymmetry in atmospheric neutrinos -- 7.3.4. Simulation, prototype, ... -- 7.3.5. Future: Long baseline -- 7.4. Conclusions -- Acknowledgements -- References -- 8. Dynamics of Proton Spin A. N. Mitra -- Contents -- 8.1. Introduction -- 8.1.1. Theoretical Ingredients -- 8.1.2. Plan of the Paper -- 8.2. Structure of the Full BS Wave Function Ψ -- 8.2.1. Instant vs LF Representations of Momenta -- 8.2.2. From Ψ to Φ via Gordon Reduction -- 8.2.3. 3D-4D Interlinkage by Green's Function Method -- 8.3. Proton Spin Formalism -- 8.3.1. BS Normalization of qqq Wave Function.

8.3.2. Spin Matrix Elements in Lowest Order -- 8.4. Spin Correction from Two-gluon Anomaly -- 8.4.1. Two-gluon Anomaly Operator -- 8.4.2. 2-gluon anomaly correction to spin amplitude -- 8.4.3. 'Kinematical' Part of the Spin Correction -- 8.5. Summary and Conclusion -- References -- 9. Whither Nuclear Physics? A. Abbas -- References -- 10. Generalized Swanson Model and its Pseudo Supersymmetric Partners A. Sinha and P. Roy -- Contents -- 10.1. Introduction -- 10.2. Theory -- 10.3. Similarity Transformation between H and h -- 10.4. Pseudo Hermitian Isospectral Partner H of H -- 10.4.1. Pseudo Hermiticity of H + -- 10.5. Underlying Symmetry between the Partners H +- -- 10.6. A Model based on Trigonometric Rosen-Morse I Potential -- Choice of parameters -- 10.7. Conclusions -- Acknowledgment -- References -- Condensed Matter Phenomena -- 11. The Relevance of Berry Phase in Quantum Physics P. Bandyopadhyay -- Contents -- 11.1. Introduction -- 11.2. Berry Phase and Chiral Anomaly -- 11.3. Berry Phase and Quantum Hall Effect -- 11.4. Quantum Entanglement and Berry Phase -- 11.5. Concurrence and Berry Phase -- 11.6. Concurrence in Various Spin System -- 1. Transverse Ising system -- 2. Heisenberg Antiferromagnetic Chain -- 11.7. Entanglement of Two Delocalized Fermions -- 11.8. Hubbard Model -- 11.9. Conclusion -- References -- 12. Quantum Hamiltonian Diagonalization P. Gosselin, A. B erard and H. Mohrbach -- Contents -- 12.1. Introduction -- 12.2. Recursive Diagonalization of Quantum Hamiltonian -- 12.3. The Semiclassical Approximation -- 12.3.1. The semiclassical energy -- 12.3.2. The equations of motion -- 12.4. Physical Applications -- 12.4.1. Electron in a magnetic bloch band -- 12.4.2. Photon in a static gravitational field -- 12.5. Conclusion -- Acknowledgment -- References -- 13. The Hall Conductivity of Spinning Anyons B. Basu -- Contents.

13.1. Introduction -- 13.2. Introductory Concepts -- 13.2.1. Spin Hall effect -- 13.2.2. Berry phase -- 13.2.3. Anyons -- 13.3. Berry Phase of Anyons -- 13.3.1. Motivation -- 13.3.2. Framework -- 13.3.3. Mathematical formulation -- 13.4. Berry Curvatures and Equations of Motion -- 13.5. Physical Significance -- 13.5.1. Hall conductivity -- 13.5.2. Spin Hall conductivity -- 13.6. Conclusion -- Acknowledgement -- References -- 14. Quantum Annealing and Computation A. Das and B. K. Chakrabarti -- Contents -- 14.1. Introduction -- 14.2. Classical Spin Glasses -- 14.2.1. Spin glass ordering and Ergodicity breaking -- 14.2.2. Replica Theory and RSB in the spin glass models -- 14.3. Optimizations, Thermal Annealing and Spin Glasses -- 14.3.1. Combinatorial Optimization Problems -- 14.3.2. Simulated Thermal Annealing -- 14.3.3. Statistical Mechanics of Optimization Problems and Thermal Heuristics -- 14.3.4. Traveling Salesman Problem -- 14.4. Quantum Spin Glasses -- 14.4.1. Phase Diagram -- 14.4.1.1. Mean Field Estimate -- 14.4.1.2. Monte Carlo Studies -- 14.4.1.3. Experimental Studies of Phase Diagram -- 14.4.2. Replica Symmetry in Quantum Spin Glasses -- 14.5. Optimization Using Quantum Annealing -- 14.5.1. Quantum Monte Carlo Annealing -- (i) 2D EA Spin Glass -- (ii) Random TSP -- (iii) Random Field Ising Model: How Choice of Kinetic Term Improves Annealing Results -- 14.5.2. Quantum Annealing Using Real-time Adiabatic Evolution -- 14.5.3. Quantum Adiabatic Search for a Hole in a Golf- Course -- 14.5.4. Experimental Realization of Quantum Annealing -- 14.6. Non-stationary Quantum Annealing of a Kinetically Constrained System -- 14.7. Quantum Quenching -- 14.8. Convergence of Quantum Annealing Algorithms -- 14.9. Summary and Discussions -- Acknowledgments -- References -- Appendix -- A.1. Suzuki-Trotter Formalism.

A.2. Quantum quenching of a long range TIM.