Field of Interests
Quantum Field Theory, Dynamical System, Differential Equation
Qualifications
- Ph. D. in Applied Mathematics (Theoretical Physics) in 1987: (May 1982 to December 1986) Thesis Title: “Pre-regularization and Anomalies” Supervisor: Professor D. G. C. McKeon Department of Applied Mathematics University of Western Ontario, London, Ontario, Canada.
- M. Phil. in Applied Mathematics in 1981: (December 1976 to March 1979) Thesis Title: “Spin Dependent Pion-Deuteron Scattering in a Non-Eikonal Model” Supervisor: Professor H. Banu Department of Mathematics, University of Dhaka, Bangladesh.
- M. Sc. in Mathematics in 1972: (Examination held in 1974) First Class Department of Mathematics, University of Chittagong, Bangladesh.
- B. Sc. (Honours) in Mathematics in 1971: (Examination held in 1973) First Class Department of Mathematics, University of Chittagong, Bangladesh.
List of the Publication
- “Spin Dependent Pion-Deuteron Scattering in a Non-Eikonal Model”,Ganit (J. Bangladesh Math. Soc.) 1, 113 (1981) with H.Banu
- “The Static Field in General Relativity-11”, Ganit (J. Bangladesh Math. Soc.) 2, 35 (1982) with M.K. Chowdhury and J. N. Islam.
- “On the Approximation Scheme for the Static Field in General Relativity”, Appeared in the Research Memorandum No. 15, London City University (1983) with M. Rahaman and J. N. Islam.
- “On the Effective Lagrangian for Scalar Electrodynamics”, Can. J. Phys. 63, 431 (1985) with D. G. C. McKeon.
- “Pre-regularization”, Can. J. Phys. 63, 1453 (1985) with V. Elias, R. B. Mann, D. G. C. McKeon, S. Samant and S. B. Phillips.
- “Surface Terms and Radiative Corrections to the VVA Triangle Diagram”, Phys. Rev. D33, 598 (1986) with D. G. C. McKeon.
- “Ambiguities of Chiral Anomaly Graph in Higher Dimensions”, Phys. Rev. D33, 3090 (1986) with D. G. C. McKeon and R. B. Mann.
- “Pre-regularization and the Structure of Loop-momentum Ambiguities with in Quantum Corrections to the Super current”, Phys. Rev. D34, 619 (1986) with D. G. C. McKeon, V. Elias and R. B. Mann.
- “Background Field Quantization in the Light-cone Planar Gauge: An exception to Kallosh”s Theorem”, Phys. Rev. D35, 660 (1987) with T.N. Sherry, D. G. C. McKeon, H. C. Lee and M. S. Milgram
- “Operator Regularization in the Weinberg – Salam Model”, Can. J. Phys. 65, 1082 (1987) with D. G. C. McKeon.
- “Renormalization and Regularization”, with D.G.C. McKeon and T.N. Sherry to be published in the Proceedings of the Second Chittagong Conference on Mathematical Physics (1988) edited by J. N. Islam.
- “Operator Regularization: An Approach to Renormalization”, Published in the Proceedings of the Fourth Regional Conference on Mathematical Physics (1990), Sharif University of Technology, edited by F. Ardalan, H. Arfei and S. Rouhani.
- “Operator Regularization in Two-loop Order”, to be published in the Proceedings of the International Symposium on Recent Advances in Physics (1990),Dhaka University, edited by A. M. H. Rashid.
- “Renormalization of Yang-Mills Theory in the Light-cone Gauge using Lagrange Multiplier Field”, ICTP Preprint IC/92/238.
- “Yang-Mills Theory in the Light-cone Gauge with Lagrange-Multiplier Field”, ICTP Internal Report IC/95/150 and is published in C.U. Studies Part-II (Sc.), 1996 with S. A. Tarafder.
- “Generalized Deformed Para-Bose Algebra with Complex Structure Function”, Published in Helv. Phys. Acta 70, 703 (1997) with H.H. Bang.
- “Pre-regularization and its use in flavour Changing Electromagnetic Vertex”, Published in the Proceedings of Mini Workshop on Applied Mathematics (held in SUST, Sylhet, 1-3 September 1998), p-299, edited by J. N. Islam et al with A. M. H. Rashid.
- “Study on Chaotic Behavior of the Duffing Oscillator Equation”, Published in the Proceedings of Mini Workshop on Applied Mathematics (held in SUST, Sylhet, 1-3 September 1998), P-289 edited by J.N. Islam et al with M. N. H. Chowdhury.
- General form of Nielsen Identities for Massive Complex Scalar Field Theory”, The Chittagong Univ. J. Sci., 25(2), 75 – 81, 2001 ( with S. A. Tarafder and others).
- Gauge Invariant W– Boson Propagator in the Resonance Region”, The Chittagong Univ. J. Sci., 25(2), 83 – 87, 2001 (with S. A. Tarafder and others).
- Degenerating Instability in Duffing and Van der Pol Oscillator” (2001), Presented in the 13th Mathematical Conference (26-28 December 2001) held at RCMPS, University of Chittagong with M. N .H. Chowdhury.
- Analytical Approach to Study Chaos in Non-linear Dynamical Systems”, (2001), Presented in the 13th Mathematical Conference (23-28 December 2001) held at RCMPS, University of Chittagong with M. N. H. Chowdhury.
- The Problem of Renormalization and Regularization” (2001), Presented in the 13th Mathematical Conference (26-28 December 2001) held at RCMPS, University of Chittagong
- A General Prescription for Change of Basis in Simplex Method”, The Chittagong Univ. J. Sci., 30(2), 9 – 23, 2006 with Jalal Ahmed.
- Photon Self Energy Diagram in Spinor QED in (1 + 1) dimensional Space – time”,The Chittagong Univ. J. Sci. 32(1); 104-112, 2008-09 with M. G. Hafez
- Approximate Analytical Solution of The Simplest Periodically Driven Chaotic Conservative Flow with Non-linearity”, Can. Jour. on Computing in Mathematics, Natural Sciences, Engineering and Medicine, Vol. 2(3), 29 – 38, March 2011, with M. Tahmina Akhter
- Modified Pre-regularization Method in QED and Yang-Mills Theory”, Canadian Journal of Science and Engineering Mathematics Vol. 3, March 2012 with M. G. Hafez and S. A. Tarafder.
- Renormalization of QCD using Modified Pre-regularization Method and β-function”, ARPN Journal of Engineering and Applied Sciences Vol. 7 No. 10 October 2012 with S. A. Tarafder
- Operator Regularization in Evaluating Feynman Diagrams in QED in (3+1) Dimensional Space- Time”, ISOR-JM, Vol. 3, Issue 4, Sep-Oct. 2012, pp 36-51 with M. Forkan.
- Semi-analytical Approach to solve Non-linear Differential Equations and Their Graphical Representations”, International Journal of Applied Mathematics & Statistical Sciences ( IJAMSS), ISSN (Print: 2319-3972; ISSN (online): 2319-3980), Vol. 3, issue 1, Jan. 2014, 35 – 56. with M. Tahmina Akhter and A. S. M. Moinuddin
- Modified Pre-regularization”: A General Regularization Prescription for solving Quantum Field Theoretic Problems, Presented in 18th International Mathematical Conference (20 – 22, March, 2014) held at Independent University Bangladesh, Dhaka, with S. A. Tarafder and M. G. Hafez
- Development, Present Status of Unified Theory of Quantum Field Theory and the Role of Higgs Bosson (God’s Particle)”, Key Note Speech given in National Conference of Mathematics held in Chittagong University of Engineering and Technology (CUET) Dec. 2015.
- Renormalization and Evaluation of Form Factors of One-loop Graphs in QED Using Modified Pre-regularization Method”, The Chittagong Univ. J. Sci., ISSN1561-1167, (Accepted 2016) with A.S.M. Moinuddin (with A.S.M. Moinuddin)
- Form Factors in VVA Triangle Diagram Using Modified Pre-regularization Method”, ISOR Journal of Applied Physics (IOSR-JAP) e-ISSN: 2278-4861, Vol.-8, Issue 1 Ver-I1, 35-43,Jan-Feb 2016, with A.S.M. Moinuddin
- Modified Pre-regularization and Its Application in Renormalization problems of Quantum Chromodynamics (QCD)”, Metropoliton University Journal, Vol.5, No-1, (2016), ISSN No. 1995-5545, with A. M. Harun-ar-Rashid
- Homotopy Perturbation Method for Solving Nonlinear Partial Differential Equations”, ISOR Journal of Mathematics, Vol.12, Issue 5 Ver.V1 (Sep-Oct 2016), pp 59-69 with M. Tahmina Akter.
- Variational Iteration Method for solving Coupled Schrodinger-Klein-Gordon Equation”, American Journal of Computational and Applied Mathematics (2017), 7(1) :25-31, with M. Tahmina Akter
- Equation for Estimating Stem Volume for Agar tree (Aquilaria malaccensis Lamk) Growth in Plantations in Bangladesh”, Journal of Tropical Forestry and Environment (2017),7(2); 91-101 with S. M. Z. Islam
- Mathematical Models for Estimating Tree Site Index for Agar tree (Aquilaria Malaccensis Lamk) Plantations in Bangladesh”, Indian Forester (2018), 144 (12); 1172-1178 with S. M. Z. Islam and K. Misbahuzzaman
- Models for Measuring Height-Diameter Relationships for Agarwood (Aquilaria Malaccensis Lamk) Plantations in Bangladesh”, Journal of Tropical Forestry and Environment (2018),8(2); 42-53 with S. M. Z. Islam and K. Misbahuzzaman.
- Observation of Different Behaviors of Logistic Map for Different Control Parameters”, International Journal of Applied Mathematics and Theoretical Physics (2018); 4(3): 84-89, with M. Tahmina Akter.
- Homotopy Perturbation Method for Solving Highly Nonlinear Reaction-Diffusion- Convection Problem”, American Journal Mathematics and Statistics (2019); 9(3): 136-141, with M. Tahmina Akter
- Mathematical Models for Growth and Yield Prediction of Agar (Aquilaria malaccensis Lamk) Plantations in Bangladesh”,Accepted to the Southern Forests; A Journal of Forst Science, Taylor & Francis Publisher (2019); with S. M. Z. Islam and K. Misbahuzzaman
- Anamorphic Model for Estimating Stand Biomass and Carbon Stock of Agar Aquilaria malaccensis Lamk) Plantations in Bangladesh”, Submitted to the Journal of iForest( 2019); with S. M. Z. Islam and K. Misbahuzzaman
- Three more papers are in the process of preparation.