Lectures:
10:10-11:00 a.m., Monday, Wednesday, and Friday, in UPL 109.
Lectures:
10:10-11:00 a.m., Monday, Wednesday, and Friday, in UPL 109.
Professor : Laura Reina, 510 Keen Building,
644-9282, e-mail: click
here
Texts :
J.B. Marion and S.T. Thornton, Classical Dynamics of
Particles and Systems , Fourth Edition (Saunders College Publishing,
1995). [Mar-Thor]
D.J.Griffiths, Introduction to Electrodynamics,
Third Edition (Prentice Hall). [Griff]
Topics covered in this course
| Date | Topics covered | Reference | 01/09 | Syllabus. Introduction to Hamilton's principle. | Secs. 7.1-7.3 of [Mar-Thor] | 01/11 | Hamilton's principle and Euler-Lagrange Equations. | Secs. 7.2-7.4 and Ch. 6 of [Mar-Thor] | 01/13 | Equivalence of Euler-Lagrange and Newton equations. | Sec. 7.6 of [Mar-Thor] | 01/18 | Noether's theorem. Various examples of application of the Euler-Lagrange formalism. | Sec. 7.4 of [Mar-Thor] | 01/20 | More examples of application of the Euler-Lagrange formalism. | Sec. 7.4 of [Mar-Thor] | 01/23 | Motion of a spherical pendulum. Examples of problems solved using Maple. | Your notes | 01/25 | Deriving the forces of the constraints in the Euler-Lagrange formalism: Lagrange's equations with undetermined multipliers. | Sec. 7.5 of [Mar-Thor] | 01/27 | Examples of how to use Lagrange's equations with undetermined multipliers to derive the forces of the constraints. | Sec. 7.5 and Prob. 7.3 of [Mar-Thor] | 01/30 | The Hamiltonian formalism: Hamilton's equations of motion and properties of the Hamiltonian function of a dynamical system. | Sec. 7.9-7.10 of [Mar-Thor] | 02/01 | Review problems on Lagrangian and Hamiltonian formalism. | Your notes | 02/03 | Review problems on Lagrangian and Hamiltonian formalism. | Your notes | 02/06 | FIRST MIDTERM EXAM. | 02/08 | Lagrangian of a charged pointlike particle in an external electromagnetic field: case of a potential energy depending on velocities. | Your notes | 02/10 | Lagrangian of a charged pointlike particle in an external electromagnetic field: equations of motion and gauge invariance. Coulomb gauge and Lorentz gauge. Study of the equation for the potentials in the Lorentz gauge. | Your notes. Sec. 10.1.1-3 of [Griff] | 02/13 | Retarded potentials for continuous charge and current distributions. | Sec. 10.2.1-2 of [Griff] | 02/15 | Lienard-Wiechert potentials for a pointlike moving charge. | Sec. 10.3.1-2 of [Griff] | 02/17 | Poynting theorem, Poynting vector and its relation to electromagnetic radiation. Origin of electromagnetic radiation for a pointlike moving charge. | Sec. 8.1.1, and 11.1.1, 11.2.1 of [Griff] | 02/20 | Electric and magnetic field generated by a pointlike charge moving with constant velocity. | Example 10.4 of [Griff], your notes | 02/22 | Power radiated by an accelerating point charge. Non relativistic limit. Relativistic accelerating charge with acceleration collinear to its velocity. | Sec. 11.2.1 and Example 11.3 of [Griff], your notes | 02/24 | Power radiated by an accelerating point charge with acceleration orthogonal to its velocity. | Problem 11.16 of [Griff], your notes | 02/27 | Properties of electromagnetic waves in vacuum: monochromatic plane waves. | Secs.9.2.1-9.2.2 of [Griff] | 03/01 | Properties of electromagnetic waves in matter: propagation in linear media. | Sec.9.3.1of [Griff] | 03/03 | Reflection and transmission of electromagnetic waves: case of normal incidence. | Sec. 9.3.2 of [Griff] | 03/13 | Reflection and transmission of electromagnetic waves: case of oblique incidence. | Sec. 9.3.3 of [Griff] | 03/15 | Reflection and transmission of electromagnetic waves: case of oblique incidence. | Sec. 9.3.3 of [Griff] | 03/17 | Propagation of electromagnetic waves in a ohmic conductor: absorption. | Sec. 9.4.1 of [Griff] | 03/20 | Dispersion phenomena: microspic modelling in dielectrics. | Sec. 9.4.3 of [Griff] | 03/22 | Reflection and transmission at a conducting surface. Review of Part II of the course material: Electromagnetism. | Sec. 9.4.2 of [Griff] | 03/24 | SECOND MIDTERM EXAM | 03/27 | Introduction to the theory of Special Relativity, four-vector formalism and Lorentz transformations. Space-time diagrams. | Sec. 12.1.1-12.1.4 of [Griff] | 03/29 | Comment on rapidity and its relation to the derivation of Lorentz transformations. | Your notes and Prob. 12.9 | 03/31 | Simultaneity, time dilation, space contraction. Velocity composition law. | Sec. 12.1.3 of [Griff] | 04/03 | Proper time and proper velocity. Relativistic energy and momentum. | Secs. 12.2.1-12.2.2 of [Griff] | 04/05 | Relativistic kinematics. Compton scattering. | Sec. 12.2.3 of [Griff] | 04/7 | Transformation properties of the electric field under Lorentz transformations. Example: rederive the electric field of a charge in uniform motion. | Sec. 12.3.2 of [Griff] | 04/10 | Transformation properties of electric and magnetic fields under Lorentz transformations: the electromagnetic field tensor. | Secs. 12.3.2 and 12.3.3 of [Griff] | 04/12 | Maxwell's equations in terms of electromagnetic field tensor. | Sec. 12.3.4 of [Griff] | 04/14 | Relativistic potentials. | Sec. 12.3.5 of [Griff] | 04/17 | Action of a relativistic pointlike free particle. | Your notes | 04/19 | Equations of motion of a relativistic pointlike free particle. Action and equations of motion of a relativistic pointlike charged particle. | Your notes | 04/21 | Review of Part III of the course material: Special Relativity. | Your notes |
Prerequisites :
PHY 3221 and PHY 4323.
Corequisites : None.
Office Hours. Wednesday, from 11:00 a.m. to 1:00
p.m. If you need to talk to me at some other time, please make an
appointment.
E-Mail. You are welcome to contact me by E-mail any
time you have questions. This is maybe the best and quickest way to
get an answer on a specific problem, since I read my electronic mail
frequently.
Homework.
Assignments. There will be one set of homeworks per week, assigned each Friday
and collected at the beginning of class the next Friday. Solutions will be posted on this Web page
the day of collection, so no late homework will be accepted except for
excused absences (see below). I will normally return the corrected
homework on Wednesdays. Since a significant portion of your final
grade will come from the weekly assignments, the homework will be
accepted and graded only if written in a neat and orderly fashion, and
if the answers are justified by showing complete work.
The homework can be done individually or in working groups, as long as
everybody contribute and write out his/her own solution. It is
important that everybody attempt the problems before asking a
colleague or the instructor how to do it. Identical copies of the
same homework will not be accepted.
Exams and Grades.
Tests.
There will be two 50-minute midterm
tests during regular class time. The first Midterm Exam has been
tentatively scheduled for Monday, February 6 and
the second Midterm Exam for
Friday, March 24. The second test will cover only the
material covered in class since the first test. Both tests will
consist of a few problems that has not been solved in class or
assigned in any homework.
Final. The Final Exam is scheduled for
Thursday, April 27 from 10:00 a.m. till 12:00 p.m.
It will cover all the material of the course, with more emphasis on
the material presented since the second test.
Grading. Your grade will be 40% for the homework,
15% for each of the midterm tests and 30% for the final
exam. Attendance, partecipation, and improvement will also be
considered in defining small adjustements to your final
grade. Approximately, the final grades will be determined as
follows:
Attendance. A responsive and active attendance to
class is highly recommended. I will keep track of and use it in
determining the final grade for those cases that fall on the
borderline between two grade ranges.
Absence. Please inform me in advance of any excused
absence (e.g., religious holiday) on the day an assignment is due. If
the absence is known in advance, you can hand the homework in early.
In case of unexpected absences, due to illness or other serious
problems, we will discuss the modality with which you will turn in
any missed assignment on a case by case basis.
Tutoring.
The Physics Department provides tutors; the schedule is given below. A
list of graduate students who tutor for pay is available on the
bulletin board outside of 307 Keen Building.
Monday : 4:30-7:00 pm, UPL 105 -- Lloyd Lumata
Tuesday : 6:15-7:45 pm, UPL 105 -- Alexei Bazavov
Wednesday : 5:00-8:00 pm, UPL 105 -- Alexei Bazavov
Thursday : 3:30-6:00 pm, UPL 105 -- Lloyd Lumata
Assistance.
Students with disabilities needing academic accommodations should: 1)
register with and provide documentation to the Student Disability
Resource Center (SDRC); 2) bring a letter to me from SDRC indicating
you need academic accommodations and what they are. This should be done
within the first week of class. This and other class materials are
available in alternative format upon request.
Honor Code. Students are expected to uphold the
Academic Honor Code published in the Florida State University Bulletin
and the Student Handbook. The first paragraph reads: The Academic
Honor System of Florida State University is based on the premise that
each student has the responsibility (1) to uphold the highest
standards of academic integrity in the student's own work, (2) to
refuse to tolerate violations of academic integrity in the University
community, and (3) to foster a high sense of integrity and social
responsibility on the part of the University community.