1. Introduction and basic math (3 hrs)

(1) Introduction

(2) Scalars, vectors, and tensors

2. Kinematics (6 hrs)

(1) Lagrangian vs. Eulerian specifications, material derivatives

(2) Streamline, path line, and streak line

(3) Strain rate

(4) Vorticity and circulation

3. Conservation law (12 hrs)

(1) Reynolds transport theorem

(2) Conservation of mass, scalar, and heat

(3) Conservation of momentum: Navier-Stokes equation, viscous vs. inviscid flows

(4) Bernoulli equation

4. Vorticity dynamics (6 hrs)

(1) Kelvin’s circulation theorem

(2) Helmholtz vortex theorems

(3) Vorticity transport equation

5. Potential flow (6 hrs)

(1) Fundamentals and examples

(2) Conformal mapping

6. Laminar flow (8 hrs)

(1) Examples of steady flows

(2) Stokes’ first problem and similarity solution

The course aims to provide students a solid background of fluid mechanics required for related

research works.
College of Social Engineering Main Campus Yi-Ju Chou 98 Monday 2 Thursday 3,4 AM7097 3 Half Graduate Institute of Applied Mechanics http://www.iam.ntu.edu.tw/English/EN-homepage/homepage-Frameset.htm

Learning the subject of elementary particle physics Get familiar with the standard model of particle physics, Feynman diagrams, Feynman rules, calculations of elementary particle processes. College of Science Main Campus Cheng-Wei Chiang 30 Tuesday 3,4,5 Phys8033 3 Half Graduate Institute of Physics http://www.phys.ntu.edu.tw/webeng/APHome.aspx

Syllabus

1. Establishing Background: solid state physics and advanced materials (I)

2. Establishing Background: solid state physics and advanced materials (II)

3. Introduction (TLS/TPS)

4. X-ray Photoemission Spectroscopy (XPS) (soft x-ray)

5. Angular resolved photoemission (APES) (soft x-ray)

6. X-ray absorption spectroscopy (XAS) (soft x-ray)

7. X-ray magnetic circular dichroism (XMCD) (soft x-ray)

8. X-ray microscopy: PEEM/SR-STM/SPEM/STXM (soft x-ray) (I)

9. X-ray microscopy: PEEM/SR-STM/SPEM/STXM (soft x-ray) (II)

10. X-ray diffraction/scattering (hard x-ray)

11. Synchrotron for Biophysics (hard/soft x-ray)

12. Introduction to Neutron production and selected techniques

13. Neutron diffraction/scattering

14. Special Topic: XMCD-PEEM/SPEM

15. NSRRC Lab Tour

16. Presentations / Final Exam

Syllabus

1. Establishing Background: solid state physics and advanced materials (I)

2. Establishing Background: solid state physics and advanced materials (II)

3. Introduction (TLS/TPS)

4. X-ray Photoemission Spectroscopy (XPS) (soft x-ray)

5. Angular resolved photoemission (APES) (soft x-ray)

6. X-ray absorption spectroscopy (XAS) (soft x-ray)

7. X-ray magnetic circular dichroism (XMCD) (soft x-ray)

8. X-ray microscopy: PEEM/SR-STM/SPEM/STXM (soft x-ray) (I)

9. X-ray microscopy: PEEM/SR-STM/SPEM/STXM (soft x-ray) (II)

10. X-ray diffraction/scattering (hard x-ray)

11. Synchrotron for Biophysics (hard/soft x-ray)

12. Introduction to Neutron production and selected techniques

13. Neutron diffraction/scattering

14. Special Topic: XMCD-PEEM/SPEM

15. NSRRC Lab Tour

16. Presentations / Final Exam

College of Science Main Campus Minn Tsong Lin 30 Thursday 7,8 Phys8121 2 Half Graduate Institute of Physics,
Graduate Institute of Applied Physics http://www.phys.ntu.edu.tw/webeng/APHome.aspx

Purpose of the course:

The course is intended to give the students a basic training in quantum mechanics. In the first semester we learned the necessary mathematical tools, developed the subject from the postulates of quantum mechanics, and addressed the indispensable preliminaries. In this coming second semester of the course, the emphasis of the course will be on the second half of the following textbook.

Textbook:`Principles of Quantum Mechanics`, Second Edition, by R. Shankar, (Plenum)
Subjects to be covered:
a) Symmetry and their consequences
b) Rotational invariance and angular momentum
c) The hydrogen atom
d) Spin
e) Addition of angular momenta
f) Variational and WKB methods
g) Perturbation theories
h) Scattering theory

References: `Quantum Physics`, Second Edition, by Stephen Gasiorowicz, (Wiley)
College of Science Main Campus Ching Teh Li 20 Tuesday 3,4,5 Phys8067 3 Full Graduate Institute of Physics,
Tigp-Molecular Science and Technology http://www.phys.ntu.edu.tw/webeng/APHome.aspx

It is very importante nowadays that theoretical and also experimental physicists have a reasonable knowledge about the field theories that describe the fundamental interactions of Nature. Those theories find applications in practically all areas of Physics. To give the students a solid education about the structure of abelian and non-abelian gauge theories that describe the fundamental interations of Nature, like Electrodynamics and the Weak and Strong nuclear interactions. S_o Carlos Institute of Physics (IFSC) São Carlos campus 1. Introduction to gauge theories 2. Non-abelian gauge theories 3. The self-dual sector – instantons 4. Spontaneous symmetry breaking 5. Goldstone’s theorem 6. Higgs Mechanism: little group and mass formulas 7. Classical solutions: Magnetic monopoles, dyons and vortices 8. Bogomolny equation and BPS monopoles 9. Solitons and electromagnetic duality 10. Supersymmetric gauge theories Luiz Agostinho Ferreira, Betti Hartman 20 SFI5876 10 Written tests and exercise lists. https://www2.ifsc.usp.br/english/

This course is a topical review of relativistic heavy-ion collisions. The objective is to survey the major topics in the field, in as much depth as time allows. This course will give a broad understanding of the history and current state of the field of heavy-ion collisoins. It will be useful for anyone doing research in the field, or anyone with such an interest. Institute of Physics (IF) São Paulo main campus 1. Introduction to heavy-ion collisions i. motivation ii. description of experiments and facilities 2. Bulk physics i. Measurements _ single particle observables, 2-particle correlations (ridge, integrated and differential vn, rn, PCA analysis), multiparticle correlations (cumulants, mixed harmonic correlations) ii. Theory _ relativistic hydrodynamics, freeze-out, hadronic physics, full simulations of heavy-ion collisions, early and recent results. 3. Physics of the initial state i. Saturation physics, low-x, Color Glass Condensate ii. Thermalization / isotropization 1. Weak coupling approaches 2. Strong coupling approaches Matthew William Luzum 25 PGF5324 12 Each student choose a topic of interest, among those discussed in the course, and present a seminar. http://portal.if.usp.br/ifusp/en/welcome-ifusp

A deep knowledge of Quantum Mechanics is paramount for every physicist. Advanced topics not covered in PGF5001, develop familiarity with the ideas and methods of Quantum Mechanics and study applications to physical systems. Institute of Physics (IF) São Paulo main campus Quantum Mechanics I (PGF5001). WKB approximation, Variational methods, Time-dependent perturbation theory, Identical particles, Scattering theory, S-matrix, Eikonal approximation, Interaction radiation/matter, Canonical formalism, Path integrals, Symmetries and conservation laws, Particles in e/m fields, Entanglement, Interpretations of Quantum Mechanics, Basics of quantum computation. Oscar Jose Pinto Eboli, Matthew Wiiliam Luzum, Enrico Bertuzzo 50 PGF5002 12 Homeworks and exams http://portal.if.usp.br/ifusp/en/welcome-ifusp

Quantum Field Theory is a tool of critical importance in several areas including high energy physics and condensed matter physics. Students doing research in these areas would benefit greatly from the content of this course. To provide students with the basic elements of Quantum Field Theory that would allow them to use this important tool in their research. Institute of Physics (IF) São Paulo main campus Introduction to Quantum Mechanics. Introduction. Classical Theory of Fields. The need for Quantum Field Theory. Path integral in Quantum Mechanics. Functional methods and quantization of scalar theories. Functional integral for fermion fields. Aplications: relativistic and statistical (many body) systems. Interactions and perturbation theory. S matrix and cross sections. Quantization of gauge fields. Quantum electrodynamics. Renormalization and regularization. Renormalization group. Gustavo Alberto Burdman 40 PGF5107 12 Homework, final project. http://portal.if.usp.br/ifusp/en/welcome-ifusp

Plasma physics is used in modern technological applications, astrophysics and controlled thermonuclear fusion. In all these three topics, USP has research groups that could benefit from this course. Inicial formation in plasma physics for postgraduate students. Institute of Physics (IF) São Paulo main campus _Classical Mechanics and Electromagnetism (graduation level) 1. Basic concepts in plasma physics 2. Laboratory and astrophysical plasmas 3. Movement of charged particles in electromagnetic fields 4. Kinetic and fluid descriptions of magnetized plasmas 5. Magnetohydrodynamic equilibrium of tokamak plasmas 6. Waves in plasmas (fluid description) 7. Magnetohydrodynamic instabilities Gustavo Paganini Canal 50 PGF5112 12 Written exams and series of exercises. http://portal.if.usp.br/ifusp/en/welcome-ifusp

This discipline complement the study of evolution of dissipative dynamical systems presented during the graduation in Mechanics and other disciplines. The presented concepts and procedures are applied to non linear systems in classical physics and interdisciplinar science. Study the main chaotic dissipative systems in classical physics and their applications in interdisciplinary areas, applying the theory of chaos to characterize them. Reproduce numerical examples of the main results described in text books. Institute of Physics (IF) São Paulo main campus Graduation Chaotic trajectories in dynamical systems described by maps. Chaotic trajectories in dynamical systems described by differential equations. Fractals. Periodic, quase-periodic, and chaotic attractors. Linear stability. Routes to chaos: crisis, bifurcations, intermitency. Control of chaos. Ibere Luiz Caldas 40 PGF5202 12 Final grade determined by the average between grades from three numerical exercise lists and a seminar http://portal.if.usp.br/ifusp/en/welcome-ifusp

This course provides in-depth content of magnetic resonance imaging/spectroscopy techniques for in-vivo measurement of metabolism and physiology. After finishing this course, students are expected to have in-depth understanding of the principles of magnetic resonance spectroscopic imaging and selected physiologic imaging techniques. College of Medicine 1. Graduate standing 2. Prerequisite courses: Magnetic resonance or medical imaging (minimum 3 credits) 3. Consent of instructor WEN-CHAU WU Wednesday 234 ClinMD8226 3

This course provides in-depth content of magnetic resonance imaging/spectroscopy techniques for in-vivo measurement of metabolism and physiology. After finishing this course, students are expected to have in-depth understanding of the principles of magnetic resonance spectroscopic imaging and selected physiologic imaging techniques. College of Medicine 1. Graduate standing 2. Prerequisite courses: Magnetic resonance or medical imaging (minimum 3 credits) 3. Consent of instructor WEN-CHAU WU Wednesday 234 ClinMD8226 3