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PHYSICS (L31)  (Dept. Info)Arts & Sciences  (Policies)SP2021

L31 Physics 543Group Theory and Symmetries in Physics3.0 Units
Description:Symmetries offer beautiful explanations for many otherwise incomprehensible physical phenomena in Nature. Group theory is the underlying mathematical framework to study symmetries, with far-reaching applications in many areas of physics, including solid state physics, atomic and molecular physics, gravitational physics, and particle physics. We will discuss many of the fascinating mathematical aspects of group theory, but highlighting its physics applications. The following topics will be covered: general properties of groups (definition, subgroups and cosets, quotient group, homo- and iso-morphism), representation theory (general group actions, direct sums and tensor products, Wigner-Eckart theorem, Young tableau), discrete groups (cyclicity, characters, examples), Lie groups and Lie algebra (Cartan-Weyl basis, roots and weights, Dynkin diagrams, Casimir operators, Clebsch-Gordan coefficients, classification of simple Lie algebras), space-time symmetries (translation and rotation, Lorentz and Poincare groups, conformal symmetry, supersymmetry and superalgebra), gauge symmetries (Abelian and non-Abelian, Standard Model, Grand Unified Theories). Interested undergraduates, who have taken Physics 217 or similar, can register for this course with prior approval. Spring 2020: - Remote: No in-person components for any student. Synchronous each meeting: The expectation is that students will "attend" class at the scheduled time each session.
Attributes:
Instruction Type:Remote per COVID-19 Grade Options:CPA Fees:
Course Type:HomeSame As:N/AFrequency:Every 2 Years / History
SecDays       TimeBuilding / RoomInstructorFinal ExamSeatsEnrollWaits
01M-W----2:30P-3:50PRemote / LA DevMay 7 2021 6:00PM - 8:00PM3060
REG-DelayStart: 1/25/2021   End: 5/13/2021
Actions:BooksSyllabus
Syllabi are provided to students to support their course planning; refer to the syllabus for constraints on use.
Label

Home/Ident

A course may be either a “Home” course or an “Ident” course.

A “Home” course is a course that is created, maintained and “owned” by one academic department (aka the “Home” department). The “Home” department is primarily responsible for the decision making and logistical support for the course and instructor.

An “Ident” course is the exact same course as the “Home” (i.e. same instructor, same class time, etc), but is simply being offered to students through another department for purposes of registering under a different department and course number.

Students should, whenever possible, register for their courses under the department number toward which they intend to count the course. For example, an AFAS major should register for the course "Africa: Peoples and Cultures" under its Ident number, L90 306B, whereas an Anthropology major should register for the same course under its Home number, L48 306B.

Grade Options
C=Credit (letter grade)
P=Pass/Fail
A=Audit
U=Satisfactory/Unsatisfactory
S=Special Audit
Q=ME Q (Medical School)

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