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Master of Science in Physics Master of Science in Materials Physics (ISP) Doctor of Philosophy in Physics |
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Experimental Condensed Matter Physics and Materials Science Theoretical Physics Biophysics Dean S. Ejaz Ahmed Faculty of Mathematics and Science Associate Dean, Graduate Studies & Research Alan Castle Faculty of Mathematics and Science Core Faculty Professors Stephen Anco (Mathematics), Shyamal K. Bose (Physics), Douglas H. Bruce (Biological Sciences), David A. Crandles (Physics), Bozidar Mitrovic (Physics), Fereidoon S. Razavi (Physics), Maureen Reedyk (Physics), Kirill Samokhin (Physics), Art van der Est (Chemistry), Thomas Wolf (Mathematics) Associate Professors Henryk Fuks (Mathematics), Thad A. Harroun (Physics), Alexander Odesskii (Mathematics), Edward Sternin (Physics) Assistant Professor Santo D'Agostino Adjunct Professors John Katsaras (NRC, Chalk River), Reinhard Kremer (Max-Planck Institute, Germany), Gerald Moran (McMaster University), Ole Steuernagel (University of Hertfordshire, UK) Professors Emeritus John E. Black (Physics), Stuart M. Rothstein (Chemistry), Ramesh C. Shukla (Physics) Senior Laboratory Instructor Frank A. Benko Laboratory Demonstrator Fulvio (Phil) Boseglav Graduate Program Director Fereidoon S. Razavi Administrative Assistant Elizabeth Horvath 905-688-5550, extension 3412 Mackenzie Chown B210 Graduate Studies Administrative Assistant Beulah Alexander 905-688-5550, extension 3115 Mackenzie Chown D473 International Coordinator, Graduate Programs TBA |
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The Department of Physics offers thesis-based MSc and PhD programs which focus on condensed matter physics, materials science, theoretical physics, and biophysics. Potential fields of research which may be pursued are described below. Students will gain extensive experience in research, critical thinking and essential communication and technical skills, which will prepare them for successful careers in industry, academic and other institutions and organizations. Hands-on use of our sophisticated equipment provides excellent job training and gives our graduates a significant advantage in the job market over those students who have only an undergraduate degree. The department also offers a 13-month course-based Master of Science in Materials Physics International Student Program (ISP) that provides intensive, hands-on graduate training in advanced experimental, theoretical, and computational techniques of modern materials science. The program aims to prepare highly knowledgeable and skilled graduates, who will be trained as materials physicists who can work as independent workers or in collaboration with others to fill jobs in industry, government agencies, research institutes and universities worldwide. The program focuses on skills to identify important and critical problems and to use appropriate methods and techniques to address them. Students will also learn how to communicate their results to a scientific audience as well as to non-technical management staff, and to evaluate business and societal impact of their work without prejudice. These goals will be achieved through presentations at graduate research seminars and through the production of detailed technical laboratory and term reports conforming to the rigorous standards of scientific and technical publications in the fields of materials science and technology. |
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MSc Successful completion of four year Bachelor's degree, or equivalent, in Physics with a minimum B (75%) average. Applicants holding a degree without sufficient concentration in the area of the intended Master's degree, may be required to complete additional courses beyond those outlined as required for degree completion. The Graduate Record Examination (GRE) is recommended for international students, but not required. Agreement from a faculty advisor to supervise the student is also required for admission to the program. The Graduate Admissions Committee will review all applications and recommend admission for a limited number of suitable candidates. Part-time candidates may be considered. MSc in Materials Physics (ISP) Successful completion of a four year Bachelor's degree, or equivalent, from an accredited University, in Physics or a closely related discipline, with an average of not less than 75% (mid-B) over the last two years of full-time undergraduate study. Proof of English language proficiency will be required from all applicants. The minimum required score for entry is 80 on the TOEFL iBT (no section under 19), 6.5 on the IELTS (no section under 5.5), 5 or equivalent. For a full listing of accepted tests, see http://brocku.ca/nextstep/internationalstudents/english-language-proficiency/. The Graduate Record Examination (GRE) is 5 recommended for international students but not required. The Program Committee will review all applications and recommend admission for a limited number of suitable candidates. Applicants holding a degree without sufficient background in Physics may be required to complete additional qualifying undergraduate courses prior to an admission decision. PhD Students can be admitted into the PhD program through one of the following three options: (1) after successful completion of an MSc degree or equivalent in Physics or closely related discipline, with at least an 80% overall average; or (2) after one year in the Brock Physics MSc program. Students wishing to transfer to PhD Studies will be expected to have completed all master's coursework, with at least an 80% average. In addition, the student must submit a report on the progress made on the MSc thesis research, including a literature review and a PhD proposal, prior to the transfer. The transfer requires approval by the supervisory committee. (3) In exceptional cases, a student may be admitted directly to the PhD program with a four-years honours Bachelor's degree, or the equivalent; his or her academic standing (normally, with at least an 85% major average) and research potential must be demonstrably commensurate with readiness for doctoral study. The Graduate Record Examination (GRE) is recommended for international students, but not required. Agreement from a faculty adviser to supervise the student is also required for admission to the program. The Graduate Admissions Committee will review all applications and recommend admission for a limited number of suitable candidates. Only full-time PhD students will be admitted. |
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MSc All students must complete a research project that culminates in writing and defending a thesis. The program must include PHYS 5F90 and four PHYS half-credits at 5(alpha)00 level or above. Only one half-credit may be at the 4(alpha)00 level. Additional credits may be required where a candidate is deficient in a particular area of study as determined by the supervisory committee. For full-time students, the program is normally a six term or two year program. MSc in Materials Physics (ISP) All students accepted into the program are required to complete a four-week Graduate Science Preparation Program (GSPP), https://brocku.ca/eslservices/programs/gspp. The primary focus of GSPP is to prepare international students, whose first language is not English, for the academic demands of graduate programs at Brock University. This intensive English Program has been designed specifically for MSMP and other graduate students in the Sciences, and focuses on effective communication skills in English, community and cohort activities, and on the development of English skills in professional contexts. Over three subsequent terms of study (Fall, Winter, Spring/Summer) students must successfully complete ten half-credit courses (four theoretical courses, three experimental/laboratory courses, one computational course, and two research seminar courses). Theoretical courses One of PHYS 5P30 (Advanced Electromagnetism), PHYS 5P41 (Advanced Statistical Physics), PHYS 5P50 (Advanced Quantum Mechanics I), PHYS 5P70 (Advanced Condensed Matter Physics); One of PHYS 4P61 (Nuclear Physics), PHYS 4P62 (Modern Wave Optics) One of PHYS 5P74 (Magnetism & Magnetic Materials), PHYS 5P75 (Optical Properties of Solids), PHYS 5P76 (Nuclear Magnetic Resonance) Experimental/laboratory courses PHYS 5P81 (Sample Preparation and Characterization Techniques for Materials Science) PHYS 5P79 (Advanced Experimental Methods in Condensed Matter Physics I) PHYS 5P80 (Advanced Experimental Methods in Condensed Matter Physics II) Computational course PHYS 5P10 (Computational Methods for Materials Science) Research seminar courses PHYS 5P91 (Graduate Seminar I) PHYS 5P92 (Graduate Seminar II) PhD For full-time students entering the PhD program through option 1 or 3, the program is normally a 12 term or four year program. For full-time students entering the PhD program as a transfer student from the MSc, the program is normally a 15 term or five year program inclusive of the time spent in the MSc. All students must complete a research project that culminates in writing and defending a thesis. There will be an oral defence of the thesis. PhD students must enrol in the thesis course PHYS 7F90 each term. Students admitted through option 1 (with a completed MSc) and option 2 (transferring following completion of one year in the Brock MSc Physics program) must complete a total of 3.0 credits: two PHYS half-credit courses at the 5(alpha)00 level or higher, PHYS 5P91, PHYS 7P91, PHYS 7F90 and PHYS 5N01. Additional credits may be required where a candidate is deficient in a particular area of study as determined by the supervisory committee. Three of the courses must be from Advanced Quantum Mechanics, Advanced Statistical Physics, Advanced Electrodynamics and Group Theory unless already taken during the MSc studies (including equivalent courses from other institutions). Students admitted through option 3 (direct entry from a BSc) must complete a total of 4.0 credits: four PHYS half-credit courses at the 5(alpha)00 level or higher (which must include three of the courses in Advanced Quantum Mechanics, Advanced Statistical Physics, Advanced Electrodynamics and Group Theory), PHYS 5P91, PHYS 7P91, PHYS 7F90 and PHYS 5N01. Depending on their background and progress in the program, students may be required by the supervisory committee to take additional credits. Students must also successfully complete a comprehensive examination, which takes place within the first 24 months of the PhD program. Students must complete all of their course requirements (except the graduate seminar and the writing course) before the comprehensive examination. Prior to the exam, the student must submit a written proposal of research. The examination committee consists of the Chair, two members of the supervisory committee, and the student's supervisor, and two additional Physics graduate faculty members. The examination consists of an oral presentation by the student about his/her research, followed by questions from the examination committee. The supervisor will not directly participate in the examination, but may provide confidential feedback on the student. If failed, the student must repeat the examination within four months. A student who fails twice will be withdrawn from the program. |
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The department's main research emphasis is on condensed matter physics. The following research fields are currently represented, and are described in detail on our website at: http://www.physics.brocku.ca/Programs/ |
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Superconductivity: unconventional pairing, novel materials (high-Tc, magnetic, etc.), localization and superconductivity, superconducting glassy state. Transport in metals: transport properties of heavy fermion systems. Non-crystalline materials: calculation of electronic structure and transport properties of amorphous and liquid metals, quasicrystals, alloys and semiconductors, vibrational and magnetic properties of amorphous solids. Linear response calculations of electron-phonon interaction and superconductivity in solids. Quantum Monte Carlo studies of physical properties of isolated atoms and molecules. Monte Carlo and molecular dynamics studies of biological molecules. Dynamic systems. Mathematical physics. |
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Investigation of the optical properties of materials with phase transitions (e.g., ferromagnets, superconductors, heavy fermion, spin- and charge-density wave compounds) via optical spectroscopy from mm wave to uv. Preparation and characterization of ceramic, single crystal and thin film (using pulsed-laser deposition) high Tc superconductors, CMR materials (manganites) and amorphous alloys. Magnetic and transport properties at ambient and high pressure utilizing measurement techniques such as SQUID magnetometry, specific heat and dc-resistivity. |
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Nuclear Magnetic Resonance spectroscopy and relaxation measurements in soft condensed matter systems. Study of collective motions in model membranes, phase transitions in liquid crystals. Exploration of various morphologies and phase behaviour of lipid/water systems using scattering techniques (e.g. Neutrons, x-ray and light). Study of the protein/membrane interactions; structural characteristics of membrane active peptides. Biophysics of photosynthetic energy conversion using a combination of specialized optical spectroscopic techniques and theoretical models for excitation energy transfer and electron transport. Time resolved Electron Spin Resonance spectroscopy and light-induced spin polarization in photosynthetic membrane proteins and donor acceptor molecular complexes. Investigation of energy and electron transfer and spin dynamics in these systems. Experimental research facilities are supported by electronics, glassblowing and machine shop services. The University provides extensive computing facilities using UNIX servers and high-performance clusters. |
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Note that not all courses are offered in every session. Refer to the applicable timetable for details. Students must check to ensure that prerequisites are met. Students may be deregistered, at the request of the instructor, from any course for which prerequisites and/or restrictions have not been met. MSc Thesis An original research project involving the preparation and defence of a thesis which will demonstrate a capacity for independent work. The research shall be carried out under the supervision of a faculty member and the thesis defended at an oral examination. Scientific Writing The organizational and stylistic skills of writing and referencing a scientific document. Examples from the various literature forms such as primary journals, reviews, reports, and theses, as well as presentations and seminars. Database use and reference citation, and use of figures and graphs to illustrate data. Note: This course is taught by instructors from Brock Student Development Centre. Quantum Chemistry: Theory (also offered as CHEM 5P00) Self-consistent-field (SCF) method: configuration interaction; basis functions; electron correlation; physical properties of atoms, diatomic and polyatomic molecules. Membrane Biophysics The structure of biological membranes, including their fluctuations, dynamics, and interactions. Lipids, their variety and purpose, especially for biotechnology. Membrane proteins, including introduction to ion channels and simple models of excitable membranes. Biophysical experimental methods for the study of membranes. Solitons and Nonlinear Wave Equations (also offered as MATH 5P09) Introduction to solitons: Linear and nonlinear travelling waves. Nonlinear evolution equations (Korteweg de Vries, nonlinear Schrodinger, sine-Gordon). Soliton solutions and their interaction properties. Lax pairs, inverse scattering, zero-curvature equations and Backlund transformations, Hamiltonian structures, conservation laws. Note: taught in conjunction with PHYS 4P09. Introduction to Scientific Computing Survey of computational methods and techniques commonly used in condensed matter physics research; use of common subroutine libraries; symbolic computing systems; case studies from various areas of computational science; an independent- study term project. Use of graphing and visualization software. Numerical differentiation and integration. Use of special functions. Monte Carlo and molecular dynamics simulation of structure, energetic and thermodynamic properties of metallic, semiconducting and ionic solids and nanoparticles. Computational Methods for Algebraic and Diffferential Systems (also offered as MATH 5P20) Computer algebra applications of solving polynomial systems of algebraic and differential systems of equations are covered, including the necessary algebraic background. Polynomials and ideals, Groebner bases, affine varieties, solving by elimination, Groebner bases conversion, solving equations by resultants, differential algebra, differential Groebner bases. Advanced Electromagnetism Electromagnetic wave propagation in vacuum, dielectrics, conductors, and ionized gases; wave guide and transmission line propagation; dipole and quadrupole radiation fields; relativistic transformation of the electromagnetic fields; radiation by moving charges. Advanced Statistical Physics Statistical ensembles; mean field and Landau theory, critical phenomena, and the renormalization group; quantum fluids; superfluidity; selected topics on disordered systems. Advanced Quantum Mechanics I Angular momentum, rotations, and scalar and vector operators, selection rules; Pauli principle and periodic table; nuclear shell model; degenerate perturbation theory; electron in magnetic field, Landau levels; time evolution in quantum mechanics, time-dependent perturbation theory; elastic scattering. Advanced Quantum Mechanics II Propagators and Green's functions; path integral formalism; functional integrals and derivatives; systems of identical particles and second quantization; relativistic quantum mechanics. Prerequisite(s): PHYS 5P50 Partial Differential Equatonis (also offered as MATH 5P60) Review of linear and nonlinear equations in two variables. Existence and uniqueness theory, fundamental solutions, initial/boundary-value formulas for the heat equation, wave equation, Laplace equation in multi-dimensions. Exact solution techniques for 1st and 2nd order linear and nonlinear equations. Analysis of solutions, variational formulations, conservation laws, Noether's theorem. Nuclear Physics Intrinsic properties of nuclei, nuclear binding energy; qualitative treatment of shell model; alpha, beta and gamma radioactivities, nuclear fission, characteristics of nuclear reactions. Note: course taught in conjunction with PHYS 4P61. Modern Wave Optics: Optical Tweezers to Atom Clouds Optical lattices, spatial light modulators, evanescent waves and their applications from biology to ultracold atoms. Laser cooling and optical trapping. Manipulation of crystal properties by light. Optical patterns: tweezers, mirrors, funnels, bottles. Maple- based course work. Note: course taught in conjunction with PHYS 4P62. Introduction to Mathematical Physics (also offered as MATH 5P64) Calculus of variations, least action principle in physics, symmetries and conservation laws, main differential-geometric structures (differential form, vector field, Riemannian metric). Applications to physics: electro-magnetic field as a one-form, gravity as a pseudo-Riemannian metric. Introduction to mathematical ideas of quantum mechanics. General Relativity Gravitation as a spacetime field theory. The spacetime metric, covariant derivative, and curvature; light cones and causality. Isolated systems and mass, energy-momentum, angular momentum. Einstein's field equation of gravitation. Black hole solutions (Schwarzschild and Kerr metrics), cosmological solutions (Robertson-Walker metric), and their physical properties. Matrix groups and linear representations (also offered as MATH 5P66) Abelian groups, permutation groups, rotation groups. Representations of discrete and continuous groups by linear transformations (matrices). General properties and constructions of group representations. Representations of specific groups. Lie groups and Lie algebras. Applications in various areas of Mathematics, including invariant theory and group algebras, and Theoretical Physics, including crystallography and and symmetries in quantum systems. Biophysical Techniques (also offered as BIOL 5P67, BTEC 5P67 and CHEM 5P67) An advanced seminar/lecture course on experimental techniques in biophysics. The focus is on understanding the theory, applications and limitations of a variety of techniques students will encounter during their graduate studies. Techniques will range from advanced spectroscopy (absorption, fluorescence, NMR, X-ray diffraction) to molecular biochemistry spectroscopy. Dynamical Systems (also offered as MATH 5P30) Introduction to dynamical systems and their applicatons in mathematical modeling. Linear flows, local theory of nonlinear flows, linearization theorems, stable manifold theorem. Global theory: limit sets and attractors, Poincare'- Bendixson theorem. Structural stability and bifurcations of vector fields. Low dimensional phenomena in discrete dynamics. Chaotic dynamics: routes to chaos, characterization of chaos and strange attractors. Advanced Condensed Matter Physics Energy bands in metals, semiconductors, and insulators; lattice dynamics; electrical, magnetic, thermal, optical, and transport properties of solids. Special Topics in Condensed Matter Physics Long-range order in condensed matter systems: charge and spin density waves, etc; strongly-correlated electron systems; quantum Hall effect; metal-insulator transitions; other topics to be selected by the instructor. Many-Body Theory Green's functions at zero and finite temperature; perturbation theory and Feynman diagrams; linear response theory; electron-electron and electron-phonon interactions; electrons in disordered systems; Fermi liquid theory; introduction to BCS theory of superconductivity. Superconductivity I Overview of basic experimental facts; London theory; BCS theory; symmetry of the order parameter; Ginzburg-Landau theory and magnetic properties of superconductors; quasiparticle excitations in superconductors: thermal and transport properties; macroscopic phase coherence phenomena. Magnetism and Magnetic Materials Fundamental and device applications of magnetism will be explored. Magnetic materials and magnetic measurements; domains, domain walls, domain processes, magnetization curves, and hysteresis; soft and hard magnetic materials and applications; magnetic recording; new developments and recent progress: magnetic multilayer structures, granular magnetic thin films, and giant magnetoresistance. Optical Properties of Solids Measurement techniques; reflectivity, the dielectric function and the optical conductivity; Lorentz-Drude oscillator model; Kramers-Kronig transformations and sum rules; properties of metals, insulators, and superconductors. Nuclear Magnetic Resonance Density matrix formulation of NMR theory; spectroscopy of simple spin systems and spin-dependent interactions; relaxation theory; spin temperature; dipolar broadening in solids; NMR of soft condensed matter systems; practical aspects of high-fidelity solid-state NMR; NMR spectrometer design; NMR imaging and microscopy. Prerequisite(s): PHYS 5P50 Superconductivity II Field-theoretical methods in superconductivity. Gor'kov equations; strong-coupling theory; tunnelling; unconventional superconducting materials: high-temperature.superconductors, heavy fermion, magnetic, and organic superconductors. Prerequisite(s): PHYS 5P73 Electronic Structure of Periodic and Aperiodic Systems Density Functional and related theories; survey of (semi)empirical and first-principles electronic structure methods; electronic structure of liquid metals, metallic glasses, random alloys, and quasicrystals; effective medium theories, coherent potential, and other approximations; recursion and other real-space methods. Advanced Experimental Methods in Condensed Matter Physics Survey of experimental methods commonly used in condensed matter physics: optical and NMR spectroscopy, SQUID magnetometry, neutron and X-ray scattering, low-temperature and high-pressure technology. The techniques presented will vary. Designing experiments with advanced equipment and critical analysis of the results on both statistical and methodological grounds. Introductory classroom centered section will be followed by several individualized hands-on modules of short duration focusing on each of the specific techniques. Advanced Experimental Methods in Condensed Matter Physics II Continuation of class-room instruction and modules from PHYS 5P79 and/or new ones chosen from laser alignment, thin film deposition, vacuum technology, laser processing of materials, operation of class 100 clean rooms. Sample Preparation and Characterization Techniques for Materials Science An experimental course that focuses on the synthesis of ceramic materials and fabrication of thin films of these materials. Nano particles of ceramic materials will be prepared by methods such as sol-gel and solid-state reactions. The structure and composition of the materials will be characterized by X-ray, scanning electron microscope and energy dispersive X-ray spectroscopy. The magnetic and electronic properties of the prepared materials will be characterized by various techniques learned in PHYS 5P79. Prerequisite(s): PHYS 5P79 or permission of the instructor. Graduate Seminar I Independent study and presentation of major research papers in the area of specialization. Each student is required to attend and participate in all seminars given by students registered in the course. Students are also required to attend at least 80% of the Departmental seminars. Graduate Seminar II Independent study and presentation of major research papers in the area of specialization. Each student is required to attend and participate in all seminars given by students registered in the course. Students are also required to attend at least 80% of the Departmental seminars. PhD Thesis An original research project involving the preparation and defence of a thesis which will demonstrate a capacity for independent work. The research shall be carried out under the supervision of a faculty member and the thesis defended at an oral examination. Graduate Seminar III Independent study and presentation of major research papers in the area of specialization. Each student is required to attend and participate in all seminars given by students registered in the course. Students are also required to attend at least 80% of the Departmental seminars. |
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2016-2017 Graduate Calendar
Last updated: September 16, 2016 @ 01:42PM