Courses

Syllabus

To obtain the degree of Magister Scientiae in Applied Physics (Master’s) students must attend at least 16 credits in courses. The student will be required to attend the courses Statistical Mechanics, Electromagnetic Theory I, Quantum Mechanics, Seminar, Teaching Internship and Research.
To obtain the degree of Doctor Scientiae in Applied Physics (Doctorate) the student must attend at least 24 credits. The student will be required to attend the courses Statistical Mechanics, Electromagnetic Theory I and Quantum Mechanics, if he has not attended these courses. The student will also need to choose between Advanced Quantum Mechanics or Solid State Physics to course.

Regularly offered courses

1st semester
2nd semester
Mandatory Elective Mandatory Elective
FIS650 FIS620 FIS640 FIS621
FIS660 FIS641 FIS660 FIS651
FIS776 FIS670 FIS776 FIS661
FIS797 FIS690 FIS797 FIS680
FIS799 FIS799

Obs.: it may be happen changes in the courses offered depending on demand of each semester.

Area of concentration courses

FIS620 – Experimental Methods of Physics I 4(2-4) I
FIS621 – Experimental Methods of Physics II 4(2-4) II
FIS640 – Statistical Mechanics 4(4-0) II
FIS650 – Electromagnetic Theory I 4(4-0) I
FIS651 – Electromagnetic Theory II 4(4-0) II
FIS660 – Quantum Mechanics 4(4-0) I
FIS661 – Advanced Quantum Mechanics 4(4-0) II
FIS670 – Computational Methods of Physics 4(4-0) I and II
FIS680 – Solid State Physics 4(4-0) II
FIS690 – Soft Matter Physics 4(4-0) I
FIS740 – Phase Transitions and Critical Phenomena 4(4-0) I and II
FIS741 – Physics of Complex Systems 4(4-0) I and II
FIS765 – Field Theories in Condensed Matter Physics 4(4-0) I and II
FIS770 – Quantum Field Theory 4(4-0)
FIS771 – Advanced Mathematical Methods in Physics 4(4-0)
FIS780 – Materials and Semiconductor Devices 4(4-0) I and II
FIS790 – Special Topics I 1( – ) I and II
FIS791 – Special Topics II 2( – ) I and II
FIS792 – Special Topics III 3( – ) I and II
FIS794 – Special Issues I 1( – ) I and II
FIS795 – Special Issues II 2( – ) I and II
FIS796 – Special Issues III 3( – ) I and II
FIS797 – Seminar 1(1-0) I and II
FIS799 – Research

Courses

FIS620 – Experimental Methods of Physics I 4(2-4) I

Vacuum Systems. Cryogenics. Lithography. Electrical characterization of solids. Processes in microelectronics. Introduction to materials characterization. Computer application: acquisition, analysis and data processing.

FIS621 – Experimental Methods of Physics II 4(2-4) II. FIS560

X-ray diffraction techniques. Electron diffraction techniques. X-ray spectroscopy. Mossbauer spectroscopy. EELS Spectroscopy. Auger Spectroscopy. Optical microscopy. Electron microscopy. Scanning tunneling microscope. Atomic force microscopy. Photoacoustic.

FIS670 Computational Methods of Physics 4(4-0) I and II

Linear systems. Nonlinear systems. Determination of roots. Differential equations. Stochastic processes. Simulations. Cellular automaton. Neural networks and spin glasses.

FIS640 Statistical Mechanics 4(4-0) II

Ensemble theory. Quantum statistics. Phase transitions and critical phenomena. Theories of scale and renormalization group. Non-equilibrium phenomena.

FIS650 Electromagnetic theory I 4(4-0) I

Electrostatics. Boundary problems in electrostatics. Multiple and dielectrics. Magnetostatics. Variable fields, Maxwell’s equations, conservation laws. Electromagnetic waves.

FIS651 Electromagnetic Theory II 4(4-0) II. FIS650

The formalism of special relativity. Dynamics of relativistic particles. Radiation of moving charges. Multipole fields.

FIS660 Quantum Mechanics II 4(4-0) I

Fundamental Concepts. Kets, Bras and Operators. Measurements, observables and uncertainty relations. Quantum dynamics. Schrödinger equation. The representations of Schrodinger and Heisenberg. Feynman formulation. Gauge potentials and transformations. The theory of angular momentum. Perturbation theory.

FIS661 Advanced Quantum Mechanics 4(4-0) I. FIS640

Quantum theory of radiation. Operators of creation and annihilation. Quantization of the radiation field. Emission and absorption of photons by atoms. Rayleigh and Thomson scattering. Relativistic quantum mechanics of particles with 1/2 spin. The Dirac equation. Negative energy solutions. The hydrogen atom. The Lamb shift.

FIS680 Solid State Physics 4(4-0) II

Classical theory of metals. Crystal lattices. Electrons in periodic potential. Calculation methods of the band structure. Semiclassical theory of electron dynamics. Classical and quantum theories of harmonic crystal. Semiconductors. Defects in crystals. Magnetism. Superconductivity.

FIS690 Soft Matter Physics 4(4-0) I

Intermolecular forces. Self-organized systems and phase transitions. Polymers. Surfaces and surfactants. Brownian motion and thermal fluctuations. Diffusion and permeation in soft matter. Rheology in soft matter. Ionic soft matter

FIS740 Phase Transitions and Critical Phenomena 4(4-0) I and II

Phase Transitions and Critical Phenomena. Order parameters. Correlation functions. Universality. Network models. Mean field theories. Transfer matrix. Expansions in series. Numerical simulations. Renormalization group and range theories. Diagrammatic perturbation theory. Calculations of critical exponents.

FIS741 Physics of Complex Systems 4(4-0) I and II

Complexity and self-organization. Cellular automaton as discrete models of complexity. Forming patterns. Mathematical models for the formation of patterns. Models of aggregation. Deposition models. Discrete deposition models. Fracture processes.

FIS765 Field Theories in Condensed Matter Physics 4(4-0) I and II (necessary FIS 660 and FIS 640)

Quantum mechanics of a system with many particles. Integrals trajectories. Spontaneous symmetry breaking. Berezinskii–Kosterlitz–Thouless transition Cosmological experiments in condensed matter systems. Quantum systems with low dimension spins. The nonlinear sigma model and topological effects. Electron systems in two dimensions and quantum Hall effect. Superconductivity and high-temperature superconductors. Quantum phase transition.

FIS770 Quantum Field Theory 4(4-0)

Introduction. The Location Principle for Classical Fields and the Theory of Relativity. The Lorentz Group. Lagrangian formalism for relativistic fields and the principle of action. Green’s functions. Caliber Theories. Functional Generators of Green Functions, Ward Identities. Analysis of Propagators from Campos Livres. Symmetries and Breaking Mechanisms. Invariance-BRS, Anomalies and Unity.

FIS 771 – Advanced Mathematical Methods in Physics 4(4-0)

Understanding Sets and Topology. Normed Vector Spaces. Hilbert spaces and Ortonormal Systems. Linear operators on Hilbert spaces. Mathematical concepts of Quantum Mechanics.

FIS 780 Materials and Semiconductor Devices 4(4-0) I and II (necessary FIS 660 and FIS 640)

Model bands. Metal-semiconductor junction. Factory techniques. Heterostructures. Low dimensional structures.

FIS776 Teaching Internship I 1(0-2) I and II

This course aims to provide to graduate students teaching experience, trough the planning, preparation and teaching practices courses classes at undergraduate level in the Department of Physics, under the supervision and monitoring of the teacher of the respective course.

FIS777 Teaching Internship II 2(0-4) I and II

This course aims to provide to graduate students teaching experience, trough the planning, preparation and teaching practices courses classes at undergraduate level in the Department of Physics, under the supervision and monitoring of the teacher of the respective course.

FIS778 Teaching Internship III 3(0-6) I and II

This course aims to provide to graduate students teaching experience, trough the planning, preparation and teaching practices courses classes at undergraduate level in the Department of Physics, under the supervision and monitoring of the teacher of the respective course.

FIS790 Special Topics I 1( – ) I and II

Course not offered regularly, taught by visiting professors or from the institution itself, concentrated or not. Variable content, covering topics important to the overall formation of the student, not covered in the regular courses offered at UFV.

FIS791 Special Topics II 2( – ) I and II

Course not offered regularly, taught by visiting professors or from the institution itself, concentrated or not. Variable content, covering topics important to the overall formation of the student, not covered in the regular courses offered at UFV.

FIS792 Special Topics III 3( – ) I and II

Course not offered regularly, taught by visiting professors or from the institution itself, concentrated or not. Variable content, covering topics important to the overall formation of the student, not covered in the regular courses offered at UFV.

FIS794 Special Issues I 1( – ) I and II

Special topics not contained in the courses offered, but important to the overall training of the student. The program will be organized by the responsible teacher.

FIS795 Special Issues II 2( – ) I and II

Special topics not contained in the courses offered, but important to the overall training of the student. The program will be organized by the responsible teacher.

FIS796 Special Issues III 2( – ) I and II

Special topics not contained in the courses offered, but important to the overall training of the student. The program will be organized by the responsible teacher.

FIS797 Seminar 1(1-0) I and II

Thesis work. Seminars

FIS799 Research

Research for thesis preparation required for candidates.


Address

Physics Department

Center for Exact and Technological Sciences (CCE)

Federal University of Viçosa (UFV)

36570-900 – Viçosa, MG – Brazil

E-mail: dpfpg@ufv.br

Phone: (31) 3612-6254
Fax: (31) 3612-6254

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