Mathematical Physics

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Since 1984, a series of regional conferences on mathematical physics has been organized by physicists from Iran, Pakistan and Turkey to promote the research in mathematical and theoretical physics in the region. This volume, which derives from the XI Regional Conference on Mathematical Physics, comprises 8 review and 44 research articles on the most significant topics in mathematical and theoretical physics such as astrophysics and cosmology, conformal field theory, high energy physics, general relativity and plasma physics. The review articles are comprehensive and self-contained and report on the most important developments in the corresponding subjects. Each review article provides a complete list of references, which is especially useful for graduate students who are just starting their research activities; even ambitious undergraduates in physics can use these review papers as useful background material to go further into the subject and explore the research literature. They are contributed by prominent senior scientists: M Moniez (Laboratoire de l'Accelerateur Lineare, France) and V Sahni (Inter-University Centre for Astronomy and Astrophysics (IUCAA), India) in Astrophysics and Cosmology, W Nahm (Dublin Institute for Advanced Studies (DIAS), Ireland) in Conformal Field Theory, J Lukierski (University of Wroclaw, Poland) in Mathematical Physics, Riazuddin and Fayyazuddin (Quaid-i-Azam University, Pakistan) in High Energy Physics, N Dadhich (Inter-University Centre for Astronomy and Astrophysics (IUCAA), India) and A Qadir (National University of Science and Technology, Pakistan) in General Relativity, and N Tsintsadze (Tbilisi State University, Georgia) in Plasma Physics.

Author(s): S. Rahvar, N. Sadooghi
Publisher: World Scientific Publishing Company
Year: 2005

Language: English
Pages: 211

Contents......Page 8
Preface......Page 6
I. Astrophysics and Cosmology......Page 12
2 Degenerate fermionic dark matter in galactic nuclei......Page 14
References......Page 16
2 Detection Mode of Extended H2 Clouds: Principle......Page 17
6 How to See it?......Page 19
8 Conclusions and Perspectives......Page 21
References......Page 22
1 Introduction......Page 23
3 Comparing Observed Data with the Theory......Page 24
References......Page 25
1.2 Dynamical Dark Energy Models - Quintessence......Page 26
1.3 Braneworld Models of Dark Energy......Page 27
2 Dark Energy and the Statefinder Diagnostic......Page 28
References......Page 29
II. Condensed Matter and Statistical Physics......Page 30
1 Introduction......Page 32
2 Arnold Tongues in Ising and Potts Models......Page 33
3 Multi-Dimensional Mapping and Yang-Lee Zeros for Biological Macromolecules......Page 34
4 Arnold Tongues in Multi-Dimensional Mapping for Biological Macromolecules......Page 35
References......Page 36
Generalized Integrable Multi-Species Reaction-Diffusion Processes M. Alimohammadi, University of Tehran, Iran......Page 38
References......Page 40
2 Basic Equations......Page 41
References......Page 42
Ab-initio and Hubbard-Sham Model Calculations of Band Structure of GeSe G. S. Orudzhev and 2. A. Jahangirli, Azerbaijan Technical University, Azerbaijan, D. A. Guseinova and F. M. Hashimzade, Institute of Physics, Azerbaijan......Page 43
References......Page 45
1 Introduction......Page 46
2 Possibilities for I.P.E. Experiments......Page 47
3 The Apparatus......Page 48
References......Page 49
Studying of Porous Poly-Silicon in Presence of Ethanol by Scanning Tunneling Spectroscopy A. Iraji Zad and F. Rahimi, Sharif University of Technology, Iran......Page 50
References......Page 51
Phase Transition and Shock Formation in Reaction-Diffusion Systems: Numerical Approach F. H. Jafarpour, Bu-Ali Sina University and IPM, Iran......Page 53
References......Page 55
2 Magnetization Plateaux in Ferrimagnetic Ladders......Page 57
3 Charge Density Plateaux in t-J Ladder......Page 58
References......Page 59
Magnetization Plateaux in the king Limit of the Multiple-Spin Exchange Model on Plaquette Chain V. R. Ohanyan and N. S. Ananikian, Yerevan Physics Institute, Armenia......Page 60
References......Page 62
1 Two-Dimensional Hydrogen Atom Revisited......Page 63
2 Anyon Exciton: Exact Solutions......Page 64
References......Page 65
III. High Energy Physics; Phenomenology......Page 66
2 Formalism......Page 68
3 Polarized Structure of Nucleon......Page 69
References......Page 70
2 Fat-Center Vortices Model......Page 71
3 Results and Discussion......Page 72
References......Page 73
1 Introduction......Page 74
2 Symmetry Group SUL (4) x U x (1)......Page 75
References......Page 76
2 Moments Analysis of PPD's......Page 77
3 Proton PDF's and Structure Function in Moments Space......Page 78
References......Page 79
2 Basic Definitions......Page 80
4 Complete RG Improvement......Page 81
References......Page 82
2 Hamiltonian of Uniform Electron Fluid......Page 83
4 Results......Page 84
References......Page 85
2 Experiments......Page 86
4 Results and Discussion......Page 87
References......Page 88
2.1 Astrophysical Constraint on Neutrino Mass......Page 89
3 Origin of Neutrino Masses......Page 90
4.2 Oscillations in Matter......Page 91
Solar Neutrinos......Page 92
6 Neutrino Mass Matrix......Page 93
References......Page 94
IV. General Relativity and Quantum Gravity......Page 96
2 Energy-Momentum Tensor......Page 98
References......Page 100
Curvature Collineations of Some Plane Symmetric Static Spacetimes A. H. Bokhari, King Fahd University of Petroleum and Minerals, Saudi Arabia, A. R. Kashif, E&ME College, Pakistan, and A. Qadir, National University of Sciences and Technology, Pakistan......Page 101
References......Page 102
Probing Universality of Gravity N. Dadhich, Inter- University Centre for Astronomy and Astrophysics (IUCAA), India......Page 103
References......Page 108
1 Introduction......Page 109
3 Magnetic Solutions......Page 110
5 Closing Remarks......Page 111
References......Page 112
1 Introduction......Page 113
2 Early Observational Attempts......Page 114
3 Supermassive Black Holes......Page 115
5 Observing the Spin of Black Holes......Page 116
6 Conclusion......Page 117
References......Page 118
Ricci Conformal Collineations for Static Spacetimes K. Saifullah, Quaid-i-Azam University, Pakistan......Page 119
References......Page 121
1 Introduction......Page 122
3 Cylindrically Symmetric Kinematic Self-similar Solutions......Page 123
References......Page 124
2 Causal interpretation in terms of new variables......Page 125
3 Constraints algebra......Page 126
References......Page 127
2 The RN Spacetime......Page 128
3.2 Case (ii): k > 1......Page 129
References......Page 130
V. Mat hemat ical Physics......Page 132
On the Role of Non-Noether Symmetry in Integrability of Dispersiveless Long Wave System G. Chavchanidze, A . Razmadze Institute of Mathematics, Georgia......Page 134
References......Page 135
2 Wavelet Transform, Frame, and Atomic Decomposition on Banach Spaces......Page 136
3 Quantum Tomography via Group Theory with Wavelet Transform on Banach Space......Page 137
References......Page 138
1 Gorms as Functions over Iterated Odd Tangent Bundle......Page 139
2 Integration of Gorms and Euler Characteristic......Page 140
References......Page 141
3 Quantization of First Class Systems......Page 142
References......Page 144
2 Noncommutativity of Space-Time and Quantum Groups......Page 145
3 Nonlinear Realizations of Relativistic Symmetries Versus Quantum Deformations......Page 146
4 Quantum Deformations of Ads and Conformal Algebras......Page 147
References......Page 148
Charlier oscillator:......Page 149
Meixner-Pollaczek (relativistic) oscillators:......Page 150
References......Page 151
1 Introduction......Page 152
2 The Bethe Ansatz and its Conformal Limit......Page 153
3 The Thermodynamic Bethe Ansatz......Page 156
References......Page 158
1.1 Superalgebra D(2|1;a)......Page 159
1.3 Relation Between Two Algebras......Page 160
References......Page 161
2 The Minimum Cut-Off......Page 162
3 Cosmology......Page 163
References......Page 164
2 Classical r-Matrices of Jordanian Type......Page 165
3 Chains of Extended Jordanian Twists......Page 166
References......Page 167
VI. Noncommutative Field Theory and String Theory......Page 168
1 Introduction......Page 170
2 A Simple Six-Dimensional Example......Page 171
References......Page 172
2 Planar and Nonplanar Konishi Anomalies......Page 173
3 Exact Effective Superpotential......Page 174
References......Page 175
Exact SW Map for NC Electrodynamics......Page 177
Exact SW Map for Sources......Page 178
References......Page 179
2 The 3d NC 4 Model......Page 180
5 Continuum Limit......Page 181
References......Page 182
1 Introduction......Page 184
2.1 Causality in NC QFT......Page 185
References......Page 186
2 Lorentz Conserving NCQED......Page 187
3 Parton Model at the Lowest Order in LCNC-Space......Page 188
References......Page 189
2 Instantons and Zero Modes......Page 191
3 Analysis of Zero Mode Equations......Page 192
References......Page 193
2 Photon Polarization Operator......Page 194
References......Page 196
VII. Plasma Physics......Page 198
1 Introduction......Page 200
2 Formalism of Electron Parametric Instability......Page 201
References......Page 202
Analysis of Free-Electron Laser with Helical Wiggler and an Ion-Channel Guiding by Relativistic Raman Backscattering Theory A. A. Kordbacheh, B. Maraghechi, Amirlcabir University of Technology and IPM, Iran and H. Aghahosseini, Amirkabir University of T......Page 204
References......Page 206
2 Relativistic Thermodynamic Potential......Page 207
3 Boltzmann gas......Page 208
4 AFermi Gas......Page 209
References......Page 210