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Pah Chin Hee
Associate Professor

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Dr. Pah Chin Hee serves as the Head of Department of Computational and Theoretical Sciences, Faculty of Science, International Islamic University Malaysia (IIUM) since July 2011 to December 2016 He graduated from Malaya University with Bachelor degree in physics and Master degree in Mathematics. Then he continued to pursue PhD under supervision of Prof. Dr. Nasir Ganikhodjaev at International Islamic University Malaysia. His research interest is statistical mechanics and number theory. He published a number of papers in Journal of Statistical Physics, Journal of Mathematical Physics, Theoretic ... show more

  • Doctor of Philosophy in Computational & Theoretical Sciences - Doctor of Philosophy, International Islamic University Malaysia
  • Masters in Maths - Masters Degree, University of Malaya
  • Bachelor in Science in Physcs - Bachelor Degree, University of Malaya
  • Natural Science ~ Mathematical Sciences ~ Applied Mathematics ~ Number Theory - Number Theory
  • Natural Science ~ Mathematical Sciences ~ Mathematics and Statistics for ICT and Industries ~ Dynamical Systems - Advanced Calculus
  • Natural Science ~ Physical Sciences ~ Theoretical and Computational Physics ~ Statistical Physics and Thermodynamics - Dynamical Systems; Lattice Models of Statistical Mechanics.
  • 2008 - 2009 , Dixie W Publishing Corporation
ADVANCED CALCULUS 2008/2009 2009/2010 2010/2011 2011/2012 2012/2013 2013/2014 2014/2015 2015/2016 2016/2017 2017/2018 2018/2019 2019/2020
ADVANCED MATHEMATICAL METHODS 2008/2009 2009/2010 2014/2015
ANALYSIS 2008/2009 2009/2010
FINAL YEAR PROJECT 2009/2010
GENERAL PEDAGOGY 2013/2014
HISTORICAL & PHILOSOPHICAL FOUNDATIONS OF MALAYSIA EDUCATION 2013/2014
MATHEMATICAL ANALYSIS 2009/2010 2010/2011 2013/2014 2014/2015 2015/2016 2016/2017
NUMBER THEORY 2009/2010 2010/2011 2011/2012 2012/2013 2013/2014 2014/2015 2015/2016 2016/2017 2017/2018 2019/2020
Number Theory 2018/2019
THEORY OF PROBABILITY 2013/2014 2016/2017 2018/2019 2019/2020
Completed
2017 - 2019 Lambda Model with Competing Interactions on Cayley Tree
2014 - 2017 Nonorthogonal Unitaries for Two-way Quantum Key Distribution
2014 - 2018 Spectral Expansions and Application of Mathematical Principles on Electromagnetic Prospecting Method
2014 - 2017 Applications of Scrambling Nonlinear Operators in Consensus Problems
2014 - 2018 Quadratic Stochastic Operators with Infinite State Space and Their Applications
2014 - 2018 Hedging Performane of Future Contracts: The Case of FTSE BMKLCI Futures and the CPO Futures Contracts in Malaysia
2014 - 2016 Generalized the Zero-Two Law for Positive Contractions of Lp-Spaces
2013 - 2015 Quartic Equation over P-Adic Field
2013 - 2016 P-Adic Statistical Models and Dynamics of Localized Excitations of Bose-Einstein Condensates
2011 - 2012 Ising Model with Competing Interactions on Cayley Tree of Order 4: An Anlytic Curve
2011 - 2011 KVC PROJECT 2011 - LATTICE MODELS WITH COMPETING INTERACTIONS
2011 - 2012 Ising Model on A General Cayley Tree with Competing Next-nearest-neighbour Interactions
2011 - -1 KVC PROJECT 2011 - LATTICE MODELS WITH COMPETING INTERACTIONS
2011 - 2015 Quantum Quadratic Operators and Quadratic Processes
2009 - 2012 Generalization of Catalan Number On Cayley Tree Of Order K
2009 - 2011 Dynamics of some class of quadratic stochastic operators and its applications
2009 - 2012 On Generalized Gibbs measures of a countable state p-adic Potts Model and Their Properties
2009 - 2013 Nonlinear Waves in Bose-Einstein Condensates & Optical Waveguide Systems with Higher Order Nonlinearity
2008 - 2011 Quantum Markov Chains, Quantum Quadratic Stochastic Processes
2008 - 2011 Mutually Unbiased Bases for six Dimensional Quantum System
2004 - 2006 The Pirogov-Sinai Theory for Lattice Model Cayley Tree
In Progress
2017 - Present The chaos implies the phase transition: p-adic dynamical system approaches to the quest for a new class of p-adic Gibbs measures
2017 - Present Lambda Model with Competing Interactions on Cayley Tree
2014 - Present Applications of Scrambling Nonlinear Operators in Consensus Problems
2014 - Present Spectral Expansions and Application of Mathematical Principles on Electromagnetic Prospecting Method
2013 - Present DYNAMICAL SYSTEMS AND THEIR APPLICATIONS (DSTA)
Article
2019 On non-ergodic volterra cubic stochastic operators. Qualitative Theory of Dynamical Systems
2018 Ground states and phase transition of the λ model on the Cayley tree. Theoretical and Mathematical Physics , 194 (2) pp.260-273
2017 On connected sub-tree with fixed nodes in Cayley tree of Order 2. Southeast Asian Bulletin of Mathematics , 41 (3) pp.431-456
2016 Dirichlet's theorem related prime gap statistics. Malaysian Journal of Mathematical Sciences , 10 pp.305-310
2015 Combinatorial interpretation of raney numbers and tree enumerations. Open Journal of Discrete Mathematics , 5 (1) pp.1-9
2013 Single polygon counting on Cayley tree of order 4 : generalized Catalan numbers. Middle-East Journal of Scientific Research , 13 pp.1-5
2013 International Conference on Advancement in Science and Technology 2012 (iCAST): Contemporary Mathematics, Mathematical Physics and their Applications. Journal of Physics: Conference Series , 435 (conf.1) pp.011001-1
2013 On quadratic stochastic processes and related differential equations. Journal of Physics: Conference Series , 435 pp.012013
2013 Ising model with competing interactions on Cayley tree of Order 4: an analytic solution. Journal of Physics: Conference Series , 435 pp.012032
2010 Single Polygon Counting on Cayley Tree of Order 3. Journal of Statistical Physics , 140 (1) pp.198-207
2008 An application of Catalan Numbers on Cayley tree of order 2: Single Polygon Counting. Bulletin of the Malaysian Mathematical Sciences Society , 31 (2) pp.175-183
2008 Application of Catalan Number on Cayley tree: of order 2: single Polygon Counting. Bulletin of the Malaysian Mathematical Sciences Society , 31 (2) pp.175-183
2008 Phase diagram of the three states Potts model with next nearest neighbour interactions on the Bethe lattice. Physics Letters A , 373 (1) pp.33-38
2006 Phase diagrams of multicomponent lattice models. Theoretical and Mathematical Physics , 149 (2) pp.1512-1518
2004 The effect of finite bandwidth squeezed light on entanglement creation in the Dicke model. Journal of Optics B: Quantum and Semiclassical Optics , 6 (7) pp.289-295
2004 An Ising model with three competing interactions on a Cayley tree. Journal of Mathematical Physics , 45 (9) pp.3645-3658
2003 Exact solution of an Ising model with competing interactions on a Cayley tree. Journal of Physics A: Mathematical and General , 36 (15) pp.4283-4289

Conference or Workshop Item

2018 λ-model with competing Potts interactions on Cayley tree of order 2. In: International Conference on Mathematics, Engineering and Industrial Applications (ICoMEIA 2018
2018 Periodic and weakly periodic ground states for the λ-Model on Cayley tree. In: 4th International Conference on Mathematical Applications in Engineering 2017 (ICMAE'17)
2017 The quadriceps muscle of knee joint modelling using Hybrid Particle Swarm Optimization-Neural Network (PSO-NN). In: 37th International Conference on Quantum Probability and Related Topics (QP37) 2016
2017 Orthogonal preserving quadratic stochastic operators: Infinite dimensional case. In: 37th International Conference on Quantum Probability and Related Topics (QP37)
2017 Pitchfork bifurcation of a class of discrete dynamical systems. In: 2nd International Conference And Workshop On Mathematical Analysis 2016 (ICWOMA2016)
2016 On ground states of λ-model on the cayley tree of order two. In: 37th International Conference on Quantum Probability and Related Topics (QP37)
2016 Exact solution for an Ising model on the Cayley tree of order. In: 2015 National Symposium of Mathematical Sciences
2015 Exact solution for an Ising model on the Cayley tree of order 5. In: Simposium Kebangsaan Sains Matematik Ke-23 (SKSM23)
2013 On connected sub-tree of Cayley tree of order 2 with fixed nodes. In: International Conference On Mathematical Sciences And Statistics 2013 (ICMSS2013)
2011 Ising model with competing interactions on Cayley tree of order 4: an analytic solution. In: 10th International Annual Symposium (UMTAS 2011)

Book

2011 Lattice models with competing interactions. IIUM Press . ISBN 9789674180065
2011 Investigations on Pure Mathematics, Finance Mathematics and Optics . IIUM Press . ISBN 9789674181987

Book Section

2011 Ising model with competing interactions on Cayley tree of order four. In: Recent achievements in dynamical systems: proceedings of Department of Computational and Theoretical Sciences, Faculty of Science, IIUM IIUM Press . ISBN 9789674182014 , pp.118-124
2011 Single polygon counting for two fixed nodes on a Cayley tree of order 2. In: Recent achievements in dynamical systems: proceedings of Department of Computational and Theoretical Sciences, Faculty of Science, IIUM IIUM Press . ISBN 9789674182014 , pp.214-218
2011 Dirichlet’s theorem and prime gap statistics. In: Recent achievements in dynamical systems: proceedings of Department of Computational and Theoretical Sciences, Faculty of Science, IIUM IIUM Press . ISBN 9789674182014 , pp.256-260
2011 Geometric Brownian motion and calculation of option premium in black scholes model . In: Investigations on Pure Mathematics, Finance Mathematics and Optics IIUM Press . ISBN 9789674181987 , pp.50-56
2011 Investigation of stability of fixed points of nonlinear discrete dynamical systems . In: Investigations on Pure Mathematics, Finance Mathematics and Optics IIUM Press . ISBN 9789674181987 , pp.82-89
2011 Phase transition for Ising model with two competing interaction on Cayley tree of order . In: Investigations on Pure Mathematics, Finance Mathematics and Optics IIUM Press . ISBN 9789674181987 , pp.96-100