Courses for Student Work Placement
Forms 
CORE COURSES PHY 626  Quantum Mechanics II PHY 811  Experimental Physics
SPECIALIZATION COURSES PHY 650  Quantum Field Theory I PHY 651  Ultrashort Laser Pulse Phenomena PHY 652  Fiber Optics and Applications in Telecommunications PHY 653  Quantum Field Theory II PHY 654  Ultrafast Spectroscopy of Semiconductors and Semiconductor Nanostructures PHY 655  Lattice Gauge Theories ΡHΥ 656  Modern Topics in Theoretical Condensed Matter Physics ΡΗΥ 657  Quantum Many Body Theory and Applications in Solid State Physics PHY 658  Physics of Hot and Compressed Nuclear Matter PHY 659  Advanced Topics in Nuclear Physics PHY 660  Exotic States of Matter in a Magnetic Field PHY 661  Advanced Topics in Particle Physics PHY 662  Special Topics in Particle Physics PHY 663  Measurement and Detection Techniques of Nuclear Radiation PHY 664  Statistical and Computational Physics of Biomolecular Systems PHY 665  Quantum Mechanics of Biomolecular Systems: Theoretical and Computational Methods PHY 668  Terahertz Pulse Spectroscopy PHY 669  Optical Properties of Semiconductors PHY 671  Nanomagnetism and Applications PHY 672  Introduction to SuperSymmetry PHY 673  Particle Detectors – Physics and Applications PHY 674  Physics at the TeV Regime PHY 675  Principles of Mössbauer Spectroscopy PHY 901 & PHY 902  Work Placement
PHY 625  Quantum Mechanics Ι
The objectives and learning outcomes of the course as well as the dedicated course website can be found following the respective links. (Back to top)
PHY 626  Quantum Mechanics II Symmetries: Definition, Types of symmetries, Physical consequences. Symmetries of Classical and Quantum Mechanics. Lorentz group, unitary groups. Noether's theorem. The objectives and learning outcomes of the course as well as the dedicated course website can be found following the respective links. (Back to top) PHY 631  Electromagnetism Electrostatics and Magnhtostatics: Boundary value problems, Electric and magnetic dipole moments, multipole moments, Static fields in matter, Conductors, Dielectrics, Magnetic materials, Electromagnetic forces and energy. Time varying fields: Maxwell equations, Gauge transformations, The electromagnetic energy density, Poynting vector and Maxwell stress tensor, Conservation laws, Advanced and retarded Green functions, Lorentz transformations of the electromagnetic fields. Electromagnetic waves in matter, Dispersion, Applications in optics, Waveguides, Simple harmonic radiating systems, Dipole radiation, The LienardWiechert potentials, Radiation by moving charges and applications. The objectives and learning outcomes of the course as well as the dedicated course website can be found following the respective links. (Back to top)
PHY 641  Statistical Physics Useful mathematical topics: combinatorics, probability distributions, random walks and processes, Lagrange multipliers. Entropy. Derivation of the microcanonical, canonical, grand canonical probability distributions for classical and quantum systems with emphasis on the concept of entropy. Derivation of thermodynamics from statistical mechanics. Thermodynamic potentials. Ideal gases of distinguishable and indistinguishable particles (Fermions and Bosons), and applications to photons, phonons and electrons. BoseEinstein condensation. From quantum to classical statistical mechanics. The chemical potentials and its use in diffusiveequilibrium and chemical equilibrium problems. Statistical mechanics of interacting particles. Phase transitions. Ising model. Topics in nonequilibrium statistical mechanics (approach to equilibrium from the point of view of stochastic processes, Langevin and FokkerPlanck equations). The objectives and learning outcomes of the course as well as the dedicated course website can be found following the respective links. (Back to top)
PHY 811  Experimental Physics
The objectives and learning outcomes of the course as well as the dedicated course website can be found following the respective links. (Back to top)
PHY 650  Quantum Field Theory I The Dirac equation. Compatibility with Special Relativity. Relation to the Pauli equation. Solutions of the free equation and their interpretation. Solutions in the presence of an electromagnetic field. The Klein  Gordon equation for a scalar field and its quantization. Quantization of fermions. Quantization of photons. Discrete symmetries C, P, T. The relation between spin and statistics. Interacting fields and their quantization. The S matrix. Relativistic kinematics. Phase space. Covariant perturbation theory. Calculation of cross sections and decay amplitudes in Quantum Electrodynamics, at tree level. Calculation of weak decays. Comparison of Fermi's weak Hamiltonian to the Standard Model. The objectives and learning outcomes of the course as well as the dedicated course website can be found following the respective links. (Back to top)
PHY 651  Ultrashort Laser Pulse Phenomena • Extensive review of propagation properties of light in time and frequency domains
• Ultrashort light pulse interaction with matter. • Coherent Phenomena • Ultrashort Sources and femtosecond pulse amplification • Pulse Shaping and diagnostic techniques • Femtosecond Spectroscopy • Examples of Ultrafast Processes in Matter • Generation of Extreme Wavelengths The objectives and learning outcomes of the course as well as the dedicated course website can be found following the respective links. (Back to top)
PHY 652  Fiber Optics and Applications in Telecommunications • Fiber optics fundamentals, introduction to fiber optics and planar waveguides The objectives and learning outcomes of the course as well as the dedicated course website can be found following the respective links. (Back to top)
PHY 653  Quantum Field Theory II Perturbative corrections in Quantum Electrodynamics: Introduction to Renormalization, Magnetic moment of the electron, Infrared and Ultraviolet infinities in loop diagrams, Renormalization of the fermion field and of the electric charge, LSZ reduction, Optical theorem, Ward identity. Systematics of Renormalization. Dimensional regularization. Perturbation theory to one loop and beyond. Functional Quantization: Functional integrals in Quantum Mechanics and in Field Theory. Connection to Statistical Mechanics. Quantization of fermions and gauge fields. Renormalization à la Wilson. Renormalization group. The Callan – Symanzik equation. The running of the coupling constant. NonAbelian Gauge Theories: Gauge symmetries, Yang – Mills theory, Feynman rules, Faddeev – Popov quantization and ghost fields, BRST transformation, asymptotic freedom. The Standard Model: Spontaneous symmetry breaking and Goldstone bosons, the Higgs mechanism and generation of masses, the CKM matrix, CP violation. Study, to oneloop level, of the decays of the Higgs boson and of the top quark. The objectives and learning outcomes of the course as well as the dedicated course website can be found following the respective links. (Back to top)
PHY 654  Ultrafast Spectroscopy of Semiconductors and Semiconductor Nanostructures • Semiconductor basic concepts, band Structure, Excitons, Phonons. The objectives and learning outcomes of the course as well as the dedicated course website can be found following the respective links. (Back to top) PHY 655  Lattice Gauge Theories The path integral approach to quantization. Euclidean quantum field theory. Quantum fields on a lattice. Continuum limit and critical behavior. The free scalar field on the lattice.Fermions on the lattice. Wilson fermions, KogutSusskind staggered fermions, NielsenNinomiya theorem. Abelian gauge fields on the lattice and compact QED. NonAbelian gauge fields on the lattice, compact QCD. Strong coupling expansion. Hopping parameter expansion. Quarkantiquark potential. Glueball spectrum. Phase structure of lattice gauge theory. Weak coupling expansion in scalar theories and in QCD. The continuum limit of lattice QCD. The beta function and asymptotic freedom. MonteCarlo Methods. Numerical simulation and Markov processes. Algorithms: Metropolis, Heatbath, Overrelaxation. Simulation of fermions: Hybrid MonteCarlo, Multiboson algorithms. Deconfinement and chiral phase transition. High temperature phase of QCD. The objectives and learning outcomes of the course as well as the dedicated course website can be found following the respective links. (Back to top) ΡHΥ 656  Modern Topics in Theoretical Condensed Matter Physics The quantum physics of electrons around and inside an applied Magnetic Field (magnetic AharonovBohm Effect, Integer and Fractional Quantum Hall Effect (QHE), Composite Fermions) – Twodimensional electronhole systems and their hidden symmetries (conservation of pseudomomentum in a singleparticle but also in a manybody framework) – Wigner crystal and competitive (liquid and solid) phases. Graphene and its unconventional QHE – Topological Insulators and how they are protected by quantum discrete symmetries – Topological (Dirac and Weyl) Semimetals – Topological Superconductors and Majorana Fermions. The objectives and learning outcomes of the course as well as the dedicated course website can be found following the respective links. (Back to top)
ΡΗΥ 657  Quantum Many Body Theory and Applications in Solid State Physics Fock space  Second Quantization. Manyparticle Green's functions  Matsubara formalism. Linear Response Theories. Dielectric formulation in longrange interaction (Coulomb) systems and selfconsistent theories of Screening. Phase diagram of Interacting Electrons (including the Wigner Crystal Phase). Functional Integrals and HubbardStratonovich transformation: application to Plasmons and Cooper Pairing (NambuGorkov fοrmalism) for Superconductivity, but also for electronhole pairing in the Excitonic Insulator Phase. The objectives and learning outcome of the course as well as the dedicated course website can be found following the respective links. (Back to top)
PHY 658  Physics of Hot and Compressed Nuclear Matter 1. Creation of hot and compressed nuclear matter in heavyion collisions at relativistic energies The objectives and learning outcomes of the course as well as the dedicated course website can be found following the respective links. (Back to top)
PHY 659  Advanced Topics in Nuclear Physics 1. Fundamental building blocks and interactions in the subatomic nucleus The objectives and learning outcomes of the course as well as the dedicated course website can be found following the respective links. (Back to top) PHY 660  Exotic States of Matter in a Magnetic Field Integer Quantum Hall Effect in conventional heterostructures and Quantum Anomalous Hall Effect in Graphene. Topological Insulators and Dirac and Weyl Semimetals in a magnetic field, exotic magnetoelectric properties (with appearance of magnetic monopoles), Fractional Quantun Hall Effect and Composite Fermions. Wigner Crystal in 3 and 2Dimensional Condensed Matter, Competition with Laughlin Liquid and with Fractional Quantum Hall Effect States. Paired Electronic States and the Passage to Exotic Superconductivity. Bubble and Stripe Phases in Higher Landau Levels. The objectives and learning outcomes of the course as well as the dedicated course website can be found following the respective links. (Back to top)
PHY 661  Advanced Topics in Particle Physics Quantum Electrodynamics, Weak Interactions, Gauge Symmetries in the Basic Interactions, Electroweak Unification – the GlashowWeinbergSalam Model, Higgs Mechanism, problems of the Standard Model, Supersymmetry and Dark Matter, Detector systems in High Energy Physics. The objectives and learning outcomes of the course as well as the dedicated course website can be found following the respective links. (Back to top)
PHY 662  Special Topics in Particle Physics Neutrino Oscillations or Physics of ElectronPositron Colliders or Physics of Proton(Anti)Proton Colliders or Cosmology and Particle Physics (depending on the relevant area where the student will work), Detector Systems and Search Methods for new particles or data processing. The objectives and learning outcomes of the course as well as the dedicated course website can be found following the respective links. (Back to top)
PHY 663  Measurement and Detection Techniques of Nuclear Radiation Introduction to nuclear radiation The objectives and learning outcomes of the course as well as the dedicated course website can be found following the respective links. (Back to top)
PHY 664  Statistical and Computational Physics of Biomolecular Systems Theoretical topics: Elements of protein and nucleic acid structure. Intra and intermolecular interactions in biomolecular systems. Thermodynamics of biomolecular systems. The effect of solvent on the thermodynamic stability of biopolymers. Implicit solvent models (from liquid state theory and continuum electrostatics). Statistical mechanical theories of protein stability and folding. Computational topics: Hamiltonians employed in atomicdetail simulations of biomolecules. Molecular Dynamics (MD) simulations. Basic concepts (MD algorithms; MD in various ensembles; Langevin dynamics). MD simulation methods for the efficient sampling of biomolecular phase space. Monte Carlo (MC) simulations; General methodology. MC simulation methods for the efficient sampling of biomolecular phase space. Protein folding simulations in implicit and explicit solvent. Freeenergy calculations in biomolecular systems. Theory and implementation. Computational applications: This part is carried out as a set of computational exercises, utilizing specialized software (e.g., CHARMM, UHBD). Energy minimization methods and determination of normal modes of vibration in biomolecular systems. MD simulations in vacuum; Heating, equilibration and production stages. MD simulations with implicit solvent models. MD simulations in explicit solvent; periodic boundary conditions; stochastic boundary conditions. Principal Component Analysis of MD trajectories. FreeEnergy Perturbation calculations; application in biomolecular systems. Determination of the electrostatic field of a solvated biomolecule by finitedifference solution of the PoissonBoltzmann equation. The objectives and learning outcomes of the course as well as the dedicated course website can be found following the respective links. (Back to top)
PHY 665  Quantum Mechanics of Biomolecular Systems: Theoretical and Computational Methods • Basics of structure and function of most important biomolecules (proteins, DNA, RNA) The objectives and learning outcomes of the course as well as the dedicated course website can be found following the respective links. (Back to top) PHY 667  Group Theory in Physics Symmetries: Definition. Physical consequences of symmetries. Symmetries in Classical Mechanics, Discrete/continuous symmetries, Local/global symmetries. The objectives and learning outcomes of the course as well as the dedicated course website can be found following the respective links. (Back to top)
PHY 668  Terahertz Pulse Spectroscopy This course will provide an uptodate reference on state of the art terahertz spectroscopic techniques, focusing in particular on timedomain methods based on femtosecond laser sources, and reviewing important recent applications of terahertz spectroscopy in physics. The course will cover the following: Terahertz TimeDomain Spectroscopy with Photoconductive Antennas. The objectives and learning outcomes of the course as well as the dedicated course website can be found following the respective links. (Back to top) PHY 669  Optical Properties of Semiconductors
The objectives and learning outcomes of the course as well as the dedicated course website can be found following the respective links. (Back to top)
PHY 670  Spintronics Introduction: spin physics in solids, spin relaxation mechanisms, spinorbit interaction, spin coherence in semiconductors. The objectives and learning outcomes of the course as well as the dedicated course website can be found following the respective links. (Back to top) PHY 671  Nanomagnetism and Applications Introduction: Magnetic materials, Units in Magnetism, Contributions to magnetic energy, Domains and domain walls. The objectives and learning outcomes of the course as well as the dedicated course website can be found following the respective links. (Back to top) PHY 672  Introduction to SuperSymmetry • The shortcomings of the Standard Model & the advantages of Supersymmetry (SUSY). A qualitative presentation. The objectives and learning outcomes of the course as well as the dedicated course website can be found following the respective links. (Back to top) PHY 673  Particle Detectors – Physics and Applications • Introduction to the experimental techniques used in nuclear and particle physics The objectives and learning outcomes of the course as well as the dedicated course website can be found following the respective links. (Back to top)
PHY 674  Physics at the TeV Regime • Presentation of the Physics at the energy scale of LHC and future hadron and lepton colliders. The objectives and learning outcomes of the course as well as the dedicated course website can be found following the respective links. (Back to top) PHY 675  Principles of Mössbauer Spectroscopy A. Introduction to the Mössbauer spectroscopy – basic principles B. Mössbauer Spectroscopy The objectives and learning outcome of the course as well as the dedicated course website can be found following the respective links. (Back to top)
PHY 901 & PHY 902  Work Placement The objectives and learning outcome of the course as well as the dedicated course website can be found following the respective links. (Back to top)

COURSE INFORMATION 