Faculties
Pah Chin Hee
Associate Professor
 KULLIYYAH OF SCIENCE
 IIUM Kuantan Campus
 pahchinhee@iium.edu.my
 5061
Staff Detail
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 2019/2020 
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 
In Progress 


2019  Present  Autonomous Quantum Thermal Machine for Quantum Steering 
2017  Present  Lambda Model with Competing Interactions on Cayley Tree 
2017  Present  The chaos implies the phase transition: padic dynamical system approaches to the quest for a new class of padic Gibbs measures 
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) 
Completed 

2017  2019  Lambda Model with Competing Interactions on Cayley Tree 
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 ZeroTwo Law for Positive Contractions of LpSpaces 
2014  2017  Nonorthogonal Unitaries for Twoway Quantum Key Distribution 
2013  2015  Quartic Equation over PAdic Field 
2013  2016  PAdic Statistical Models and Dynamics of Localized Excitations of BoseEinstein 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 Nextnearestneighbour 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 padic Potts Model and Their Properties 
2009  2013  Nonlinear Waves in BoseEinstein 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 PirogovSinai Theory for Lattice Model Cayley Tree 
Article 


2019  On nonergodic 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.260273 
2017  On connected subtree with fixed nodes in Cayley tree of Order 2. Southeast Asian Bulletin of Mathematics , 41 (3) pp.431456 
2016  Dirichlet's theorem related prime gap statistics. Malaysian Journal of Mathematical Sciences , 10 pp.305310 
2015  Combinatorial interpretation of raney numbers and tree enumerations. Open Journal of Discrete Mathematics , 5 (1) pp.19 
2013  Single polygon counting on Cayley tree of order 4 : generalized Catalan numbers. MiddleEast Journal of Scientific Research , 13 pp.15 
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.0110011 
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.198207 
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.175183 
2008  Application of Catalan Number on Cayley tree: of order 2: single Polygon Counting. Bulletin of the Malaysian Mathematical Sciences Society , 31 (2) pp.175183 
2008  Phase diagram of the three states Potts model with next nearest neighbour interactions on the Bethe lattice. Physics Letters A , 373 (1) pp.3338 
2006  Phase diagrams of multicomponent lattice models. Theoretical and Mathematical Physics , 149 (2) pp.15121518 
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.289295 
2004  An Ising model with three competing interactions on a Cayley tree. Journal of Mathematical Physics , 45 (9) pp.36453658 
2003  Exact solution of an Ising model with competing interactions on a Cayley tree. Journal of Physics A: Mathematical and General , 36 (15) pp.42834289 
Conference or Workshop Item 

2018  λmodel 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 λModel 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 OptimizationNeural Network (PSONN). 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 λmodel 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 Ke23 (SKSM23) 
2013  On connected subtree 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.118124 
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.214218 
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.256260 
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.5056 
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.8289 
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.96100 