1. Classical Mechanics & Electromagnetism1 1
Welcome to USPAS
Classical Mechanics & Electromagnetism
Jeffrey Eldred, Kiersten Ruisard, Jayakar “Charles” Thangaraj, Stephen Webb
Classical Mechanics and Electromagnetism
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2. Meet your Instructors Jeffrey Eldred Kiersten Ruisard2
Meet your Instructors
Jeffrey Eldred
Primary Instructor
Kiersten Ruisard
Associate Instructor
Jayakar “Charles” Thangaraj
Co-Instructor
Stephen Webb
Guest Lecturer 2
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3. Course Structure Daily Schedule Grade Scores 3
Morning Lectures 9am to noon
Lunch noon to 2pm
Afternoon Lectures 2pm to 4pm
Homework Sessions ~7pm to ~11pm
Lectures sections will be punctuated by short breaks
Grade Scores
Homework 70% – assigned daily.
Midterm Exam 10% – 2 questions over 2 hours.
Final Exam 20% – 4 questions over 3 hours.
Letter grades will be based on a curve.
Ideally you should decide credit/audit by Tuesday afternoon. 3
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4. Course Resources USPAS Syllabus:4
Course Resources
USPAS Syllabus:
Course Website:
Jeff Eldred’s Lectures
Gennady Stupakov’s Notes & Lectures
Homework Assignments
Homework Solutions
Course Textbook:
Classical Mechanics 3rd Ed. Goldstein 4
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5. Purpose Mission: Classical Mechanics and Electromagnetism5
Purpose
Mission: Classical Mechanics and Electromagnetism
A core part of the USPAS program.
We have the equivalent of one semester to cover a topic that could easily be three or four semesters.
Strategy: Focus on the subset of Classical Mechanics and Electromagnetism most relevant to Accelerators.
This course can serve as general preparation for more advanced USPAS courses that are offered regularly.
Cost: Constant tension between breadth and depth. 5
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6. 6 6
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7. Course Topics Classical Mechanics Electromagnetism 7
Harmonic Oscillators
Perturbation Methods
Hamiltonian Mechanics
Canonical Transformations
Accelerator Hamiltonians
Nonlinear Accelerator Resonances
Symplectic Maps
Electromagnetism
Relativity
Accelerator Magnets
Beam Space-charge
Cavity/Waveguide Modes
Relativistic Fields
Relativistic Particle Radiation
Wakefield impedances 7
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