Doctor of Philosophy Program in Theoretical Physics
Introduction
This program serves as an entrance into in-depth comprehension of the amazing world of physics, ranging from the unimaginably small scales of elementary particles to the vast dimensions of our universe. The focus of the program is the structure of Physics, conceptualized holistically so as to produce highly qualified academic leaders of the field.
Objectives
Targeted outcomes in graduates are as follows:
- In-depth knowledge in Structural Physics-the core element of Theoretical Physics.
- Best trained to teach core courses in Physics at Master’s and Doctoral levels within the world context.
- High potentiality in conducting world-class research in Theoretical Physics.
- World-class leadership in Theoretical Physics.
- Integrated fundamental thinkers, capable of simulating models of Physics with other disciplines such as Social Sciences, Organizational Studies, Communications and various Natural Systems.
- Holistically able to conceptualize the uniqueness and beauty of Physics.
- Consciously moral in striving for the betterment of the communities of scholars and the world community.
Special Admission Requirements
(See also general University Graduate School requirements.)
- Holders of Higher Graduate Diploma in Quantum Fields, Gravitation, and Cosmology. or Master’s degree in Physics or related areas.
- English proficiency equivalent to IELTS 5.5 or TOEFL 500.
- Applicants to further study in Cosmology, Gravitation, and High Energy Physics must have fundamental knowledge in Quantum Fields, Gravitation, and High Energy Physics. Otherwise, non-credit courses are required as prerequisites with an “s” grade of at least eleven credits according to the advisor’s suggestion.
Medium of Instruction
- Thai and English
Research Focus
- Theoretical Cosmology
- Modified Gravities
- Dark Energy Dynamics
- String Cosmology
- Inflation
- Cosmic Microwave Background
- Large Scale Structure of the Universe
- Quantum Field Theory and High Energy Physics
- String Theory
- Gauge Theory
- Modern Aspects of Quantum Field Theory
- Renormalization Theory
- Quantum Gravity
- Mathematical Physics
- Stability of Matter and Related Problems
- Fundamental Aspects of Quantum Physics
Requirement for Graduation
In addition to Graduate School requirements, upon final oral dissertation defense, two articles as parts of the dissertation findings are to be eventually published in peer-reviewed journals with an impact factor of at least 0.5. One should already be selected for publication and the other in the submission process. The latter is considered a partial fulfillment of the dissertation notwithstanding its future publication.
Credit Requirements*
Requirements | Option 2.1 | Option 2.2 |
Coursework | 12 | - |
Core Courses | 6 | - |
Electives | 6 | - |
Required Non-credit Courses | 3 | - |
Dissertation | 36 | - |
Total | 48 | - |
* Minimum credits requirements
Core Courses
Requirements | Option 2.1 | Option 2.2 | ||
Course No. | Credits | Course No. | Credits | |
Cosmology, Gravitation and High Energy physics Group | ||||
Geometrical methods in Physics | 897602 | 3 | - | - |
Supersymmetry and Superravity | 897663 | 3 | - | - |
Total | 2 | 6 | - | - |
Non-Equilibrium thermodynamics and Complexity | ||||
Non-Equilibrium Thermodynamics | 897611 | 3 | - | - |
Non-Linear Dynamics and Chaos | 897631 | 3 | - | - |
Total | 2 | 6 | - | - |
Electives
Requirements | Option 2.1 | Option 2.2 | ||
Course No. | Credits | Course No. | Credits | |
Cosmology, Gravitation and High Energy physics Group | ||||
Integrable System | 897603 | 3 | - | - |
Advanced Mathematical physics | 897604 | 3 | - | - |
Physics of Black Holes | 897654 | 3 | - | - |
Scalar-Tensor Theories of Gravitation | 879655 | 3 | - | - |
Dark Energy and Modifications of Gravity | 879656 | 3 | - | - |
String Theory | 897664 | 3 | - | - |
Solitons and Instantons | 897665 | 3 | - | - |
Statistical Field Theory | 897666 | 3 | - | - |
Modern Quantum Field Theory | 897667 | 3 | - | - |
Cosmic Microwave Background Radiation | 897673 | 3 | - | - |
Quantum Cosmology | 897674 | 3 | - | - |
Non-Equilibrium thermodynamics and Complexity | ||||
Advanced Statistical Mechanics | 897612 | 3 | - | - |
Non-Equilibrium Statistical Mechanics | 897613 | 3 | - | - |
Fluctuations in Physical Systems | 897621 | 3 | - | - |
Turbulence | 897622 | 3 | - | - |
Catastrophe Theory | 897632 | 3 | - | - |
Self-Organization and Pattern Formation | 897633 | 3 | - | - |
Physics of Traffics | 897641 | 3 | - | - |
Econophysics | 897642 | 3 | - | - |
Ecological Physics, Sociophysics and Communications | 897643 | 3 | - | - |
Total | 20 | >=6 | - | - |
Required Non-credit Courses
Requirements | Option 2.1 | Option 2.2 | ||
Course No. | Credits | Course No. | Credits | |
Seminar 1 | 897697 | 1 | - | - |
Seminar 2 | 897698 | 1 | - | - |
Seminar 3 | 897699 | 1 | - | - |
Total | 3 | 3 | - | - |
Dissertation Credit Requirements
Requirements | Option 2.1 | Option 2.2 | ||
Course No. | Credits | Course No. | Credits | |
Dissertation 1 | 897691 | 6 | - | - |
Dissertation 2 | 897692 | 6 | - | - |
Dissertation 3 | 897693 | 6 | - | - |
Dissertation 4 | 897694 | 6 | - | - |
Dissertation 5 | 897695 | 6 | - | - |
Dissertation 6 | 897696 | 6 | - | - |
Total | 6 | 36 | - | - |
Course Descriptions
897602 Geometrical Methods in Physics | 3(3-0-6) | |
A study of the following topics and their application to physics: basics of space RN mappings, real analysis, group theory and linear algebra, differential manifolds and functions on a manifold, curves, differential of a vector field, one-forms, tensor fields, tensor operations, metric tensor fields, lie derivatives, submanifolds, killing vector fields, lie algebras and lie groups, differential forms, definition of volume, fields of forms, metric volume elements, calculus of forms, and exterior derivatives. | ||
897603 Integral Systems | 3(3-0-6) | |
A study of the finite dimensional Hamiltonian systems on RN, Hamiltonian systems, Poisson brackets, Poisson manifolds, generalized Darbeaux theory, Liouville integrability, symmetries in integrability, movement maps, Noether’s principle, loop algebras, infinite dimensional integrable systems, KdV equation, pseudo-differential operators, and infinite dimensional Poisson structure. | ||
897604 Advanced Mathematical Physics | 3(3-0-6) | |
Emphasis on recent relevant aspects of physics including: matter in bulk, inflation and stability of matter, collapse of bosonic matter and the fundamental role of spin and statistics, the scale and range of interactions in the problem of stability and instability, high and low dimensional analysis, super symmetric methods in the study of the ground state energy of quantum systems with large numbers of particles, and Green functions methods and the fundamentals of long range interactions. | ||
897611 Non-Equilibrium Thermodynamics | 3(3-0-6) | |
An examination of the following: Gibb’s stability theory, critical phenomena and configurational heat capacity, stability and fluctuations based on entropy production, local equilibrium, local entropy production, energy conservation in open systems, Onsager relations and the symmetry principle, stationary state under non-equilibrium conditions, minimum entropy production principle, nonlinear thermodynamics, far-from-equilibrium systems, linear stability analysis, and dissipative structures. | ||
897612 Advanced Statistical Mechanics | 3(3-0-6) | |
A review of thermodynamics, thermodynamic potentials, Gibbs-Duhem and Maxwell relations, response functions, statistical ensembles, mean field and Landau theory, Ising model, dense gases and liquids, critical phenomena, universality, renormalisation groups, quantum fluids, linear response theory, and disordered systems. | ||
897613 Non-Equilibrium Statistical Mechanics | 3(3-0-6) | |
A study of the following: Brownian motion, fluctuations in equilibrium, responses to applied forces, linear response theory, time translation invariance, vector operators, relaxation from constrained equilibrium, Nyquist theory, Drude model for charge transport, linearised Langevin functions, hydrodynamic description of time correlation functions, hydrodynamic spectrum of normal fluids, kinetic theory, critical phenomena and broken symmetry, dynamic renormalization groups, and unstable growth. | ||
897621 Fluctuations in Physical Systems | 3(3-0-6) | |
A study of the following topics: basics of statistical analysis, fluctuations in electric circuits, fluctuation-dissipation theory, Kramers-Konig relations, Brownian motion, random walks, density fluctuation in gases, a reference model, Markov processes, diffusion of particles, thermal fluctuation in a diode, and Fermi acceleration. | ||
897622 Turbulence | 3(3-0-6) | |
An examination of the nature of turbulence flows, equations of fluid motion, continuum fluid properties, Eulerian and Lagrangian fields, continuity equation, the random nature of turbulence, charcterisation of random variables, random fields, probability and averaging, mean-flow equations, free-shear flows, energy cascades and Kolmogarov hypotheses, structure functions, two point correlation, Fourier models, velocity spectra, channel flow, pipe flow, boundary layers, and turbulent structures. | ||
897631 Non-Linear Dynamics and Chaos | 3(3-0-6) | |
A study of the following: second-order differential equations in the phase plane, plane autonomous systems and linearization, geometric aspects of plane autonomous systems, periodic solutions, averaging methods, perturbation methods, singular perturbation methods, forced oscillations, harmonic and sub harmonic responses, stability, determination of stability by solution perturbation, Liaponov methods for determining stability of zero solution, existence of periodic solutions, bifurcations and manifolds, Poincaré sequences, homoclinic and bifurcation and chaos. | ||
897632 atastrophe Theory | 3(3-0-6) | |
A study and understanding of the following aspects of catastrophe theories: smooth and sudden changes, multidimensional geometry, multidimensional calculus, critical points and transversality, Zeeman machine, cusp catastrophe, structural stability, Thom’s classification theory, determinacy and unfolding, seven catastrophe geometries, applications in thermodynamics and phase transition, applications in ecology, and social modeling | ||
897633 Self-Organisation and Pattern Formation | 3(3-0-6) | |
A study and understanding of the following: convection, reaction-diffusion systems, Faraday waves, bifurcation and symmetries, groups, lattice patterns, super lattices, modulation and envelope equations, instability of stripes and travelling plane waves, spirals, defects, and the Cross-Newell equation. | ||
897641 Physics of Traffic | 3(3-0-6) | |
A study and understanding of the following: three phase traffic theory, traffic variables, parameters and patterns, free flow and congested traffic, the nature of traffic flow breakdown at bottlenecks, highway capacities for free flow traffic at bottlenecks, the role of lane changing in free flow traffic, and applications of theory in traffic engineering. | ||
897642 Econophysics | 3(3-0-6) | |
A study of basic statistics, differential form, first and second laws of differential forms, thermo dynamical first law of economics, thermo dynamical second law of economics, systems functions, production function, entropy as a production function, mechanisms of production and trade, random walk, stochastic processes in financial physics, financial markets and models of turbulence, wealth distribution model, and modeling financial fluctuations with statistical mechanics. | ||
897643 Ecological Physics, Sociophysics, and Communications | 3(3-0-6) | |
A study of the ecophysical definition of life; energy source elements of society; states, groups, classes, and agents as collectives of individuals; thermodynamics and social science; crowd dynamics; modeling communication with concepts of physics; and complexity in social networks. | ||
897654 Physics of Black Holes | 3(3-0-6) | |
A study of the following aspects of black holes: the laws of black hole mechanics, gravitational collapse, Swarzschild black holes, killing vectors, spherically-symmetric pressure free collapse, Carter-Penrose diagrams, asymtopia, event horizons, charged black holes, Cauchy horizons, rotating black holes, uniqueness theory, the Kerr solution, the Penrose process, covariant formulation of charged integrals, ADM energy, Komar integrals, and Hawking radiation. | ||
897655 Scalar-Tensor Theories of Gravitation | 3(3-0-6) | |
Examination of the following theories: origins of scalar fields, the weak equivalence principle, prototype Brans-Dicke model, conformal transformation, Brans-Dicke model with cosmological constant, Jordan frame and Einstein frame, dark energy, quintessence, two-scalar model, scale invariance, dilatons and Nambu-Goldstone bosons, coupling to matter, and temporal variations of fine structure constants. | ||
897656 Dark Energy and Modifications of Gravity | 3(3-0-6) | |
A study of the following aspects of dark energy and gravity: observational evidence of dark energy, cosmological constants, fine tuning and coincidence problems, anthropic principle, the anthropic cosmological principle, quintessence, k-essense, phantoms, coupled dark energy, chameleons, scaling solutions, future singularities, f(R) gravity, scalar-tensor theories, Gauss-Bonnet dark energy models, braneworld models of dark energy, void models, back-reactions, and dark energy cosmological pertubations. | ||
897663 Supersymmetry and Supergravity | 3(3-0-6) | |
A study of the following: supersymmetric algebra and multiplets, chiral invariant and Lagragian superfield, Feynman rule for chiral supermultiplets, F term supersymmetry breaking, D term supersymmetry breaking, supersymmetry non-abelian guage theories, supersymmetric electroweak theory, supergravity coupling to matter, Wess-Zumino model, super-Higgs mechanism and gravitino mass, gaugino condensate, and the supergravity grand unified theory. | ||
897644 String Theory | 3(3-0-6) | |
A study of the following aspects of string theory: the road to string unification, special relativity and higher dimensions, electromagnetism in various dimensions, the nonrelativistic strings, the relativistic point particle, the classical relativistic string, the Nambu-Goto and Polyakov action, world sheet currents, solutions of the open and closed string equations of motion, the quantum harmonic oscillator, the relativistic quantum open and closed string, the light-cone relativistic string, covariant and light-cone quantization, and T-duality of closed strings. | ||
897655 Solitons and Instantons | 3(3-0-6) | |
A study of the following topics: non-topological solitons, the KdV equation, generality of the KdV equation, topological solitons, the sine-Gordon equation, envelope solitons, non-linear SchrÖedinger-type equation, linearisation around soliton solution, collective co-ordinates, inverse-scattering transform, solitons in quantum field theory, Z₂ kink, monopoles, tunneling and instantons, topology of guage transformation, and Yang-Mills instantons and U(1). | ||
897666 Statistical Field Theory | 3(3-0-6) | |
A study of the following theories and models: a review of definitions, notations and statistical mechanics, phase transitions, correlation function, Ising model, one-dimensional system, transfer matrix, Pott’s model, phenomenology of phase transitions, general structure of phase diagrams, Gibb phase rule, Landau-Ginsberg theory, mean field theory, scaling hypothesis, critical properties of the one-dimensional Ising model, blocking transformation, renormalisation group, partition function and field theory, the Gaussian model, and the perturbation expansion. | ||
897667 Modern Quantum Field Theory | 3(3-0-6) | |
An emphasis on theory, applications, and modern developments including the following: higher spin fields, field theory anomalies, Poincaré/super-Poincaré algebras, particle-states/supermultiplets, superspace, the quantum dynamical principle, vacuum-to-vacuum transition amplitudes and the solution of field theory, generalised Faddeev-Popov factors, CPT spin and statistics connection, intricacies of abelian and non-abelian guage theories, the theory of renormalization, proof of finiteness to any order, high-energy/short distance behavior, fixed points methods and asymptotic freedom, recent developments on the generation of superfields, supersymmetric extensions, strings, superstrings and low energy effective actions, and aspects of quantum gravity. | ||
897673 Cosmic Microwave Background Radiation | 3(3-0-6) | |
A study of the following topics: statistical properties of random fields, correlation functions, power spectra, ergodic theory, cosmic variance, Newtonian perturbation, Boltzmann’s equations, Jean mass, guage transformation, guage invariance, perturbation equations, the Bardeen equation, transfer functions, acoustic oscillation, the Liouville equation, Silk damping, CMB mulitpoles, spherical expansion, the Sachs-Wolfe effect, reionisation, CMB polarization, and power spectrum. | ||
897674 Quantum Cosmology | 3(3-0-6) | |
An introduction to quantum cosmology, Hamiltonian treatment of general relativity, classical boundary value problems, path-integral in quantum gravity, spin 1/2 fermions, Hamiltonian formulation of supergravity, quantum amplitude, semi-classical expansion, and Ashtekar variables in general relativity and in supergravity. | ||
897691 Dissertation 1, Option 2.1 | 6 Credits | |
Undertaking an extensive literature review related to the research topic. | ||
897692 Dissertation 2, Option 2.1 | 6 Credits | |
Preparing a research proposal draft which includes details of the research topic, the significance of the research problem, the research objectives, and the research procedures. | ||
897693 Dissertation 3, Option 2.1 | 6 Credits | |
Preparing and submitting a complete research proposal which details all the research components. | ||
897694 Dissertation 4, Option 2.1 | 6 Credits | |
Conducting a preliminary study and preparing and submitting a progress report. | ||
897695 Dissertation 5, Option 2.1 | 6 Credits | |
Designing and conducting experiments, collecting and analysing data, preparing a progress report with a summary of the research data, and preparing the dissertation. | ||
897696 Dissertation 6, Option 2.1 | 6 Credits | |
Revising and completing a dissertation to a standard where all the articles which are part of the dissertation are acceptable to a refereed journal or are in the process of being submitted, completing a dissertation defense, and submitting a completed dissertation to the Graduate School. | ||
897697 Seminar 1 | 1(1-0-2) | |
Reviewing and discussing problems and progress in theoretical physics and making a presentation on contemporary active research topics. | ||
897698 Seminar 2 | 1(1-0-2) | |
Studying and discussing a profound research topic and making a presentation on the research topic. | ||
897699 Seminar 3 | 1(1-0-2) | |
Preparing and submitting a progress report and making a presentation on the research project. |
Course Organisers
Director | Sukhasena, Sechson, Ph.D. |
Graduate Faculty Full Members | Chantavat, Teeraparb, D. Phil. in Astrophysics
De Felice, Antonio, Ph.D.in Physics Gumjudpai, Burin, Ph.D. in Cosmology Karwan, Khamphee, Dr.rer.Nat. on Theoretical Physics (Cum Laude) Wongjum, Pitayuth, Ph.D.in Physics |
Associate Members | Burikham, Piyabut, Ph.D.in Physics.
Channok, Chanruangrit, Ph.D.in Physics, Asst.Prof. Chantrabhuti, Auttakit, Ph.D.in Mathematical Sciences Plansangkate, Prim, Ph.D.in Applied Mathematics and Theoretical Physics. Tsujikawa, Shinji, Ph.D.in Physics, Assoc.Prof. Wiboolsake, Sodchuen, M.Sc.in Mathematical Physics, Asst.Prof. |