# Undergraduate Program - Student Life

## The Kapitza Society

In 2016 the “Kapitza Society” was created by Jean Weill in honor of the “Kapitza Club” founded by Peter Kapitza in the 1920s in Cambridge. Our goal is simple: to bring together a small team of elite students with an insatiable thirst for knowledge in order to explore theoretical physics outside of our classes. Each session revolves around a lecture by a society member. We meet once a week – thirty minutes for practice problems, then one hour and thirty minutes for theory. We have studied a variety of topics, all at the graduate level: differential geometry, particle physics, Lie algebras, quantum field theory, and quantum information theory.

#### Mentors:

- Prof. S. G. Rajeev (Mathematics and Physics): s.g.rajeev@rochester.edu
- Prof. Alex Iosevich (Mathematics): iosevich@math.rochester.edu

#### Current Members (2018-2019):

- Jeremy Atkins (Physics & Astronomy): jatkins5@u.rochester.edu
- David Mayrhofer (Physics, Applied Music): rmayrhof@u.rochester.edu
- Tri Nguyen, President (Physics & Astronomy): tnguy51@u.rochester.edu

#### Previous Members:

- Sanha Cheong (Physics PhD, Stanford): sanha@standford.edu
- Noah Chrein (Mathematics PhD, U Maryland): nchrein@terpmail.umd.edu
- Adam Lott (Mathematics PhD, UCLA): adamlott99@math.ucla.edu
- Logan Meredith (Theoretical Physics PhD, U Illinois Urbana-Champaign): loganmeredit@gmail.com
- Ben Saltzman (Physics PhD, UC Berkeley): bsaltzman01@gmail.com
- Emily Windes (Mathematics PhD, U of R): ewindes@u.rochester.edu
- Jean Weill, Founder (Theoretical Physics PhD, Northwestern): jeanweill@u.northwestern.edu

#### Topics Covered:

##### Quantum Field Theory II(Spring 2018):

__Resources Used:__

“Lectures on Quantum Field Theory” by Ashok Das

__Projects:__

Jeremy Atkins: "*The Free Klein Gordon Field Theory*"

David Mayrhofer: "*Complex Solutions to the Klein-Gordon Equation*"

Logan Meredith: *"Helicity, chirality, and the Dirac equation in the non-relativistic limit"*

Tri Nguyen: "*Field Interactions*"

Ben Saltzman:*"Second Quantization of the Klein-Gordon Equation"*

Jean Weill: *"The Dirac Equation"*

##### Quantum Information Theory I (Fall 2017):

- Resources Used:

“Quantum Information Theory” by Mark M. Wilde (2nd edition)

- Projects:

Logan Meredith: *"The CHSH game as a Bell test thought experiment" *

Ben Saltzman:*"Noisy Quantum Measurement" *

Jean Weill: *"Statistical and Quantum Mechanics" *

##### Quantum Field Theory (Spring 2017):

- Resources Used:

“Quantum Field Theory” by Franz Mandl and Graham Shaw (2nd edition)

- Projects:

Sanha Cheong:*“Example of Lowest-Order Processes in QED”*

Adam Lott: *"Introduction to Lagrangian Field Theory"*

Logan Meredith: *“Calculating Transition Amplitudes from Feynman Diagrams”*

Jean Weill: *“Lagrangian Field Theory”*

Emily Windes: *“From Harmonic Oscillators to Fields”*

##### Mathematics and Particle Physics (Fall 2016):

- Resources Used:

“Symmetry and the Standard Model” by Matthew Robinson (1st edition)

“Introduction to Elementary Particles” by David Griffiths (2nd edition)

“Lie Groups, Lie Algebras, and Representations” by Brian C. Hall (2nd edition).

- Projects:

Jean Weill: "*Introduction to Special Relativity”*

##### Differential Geometry (Spring 2016):

- Resources Used:

“Elementary Differential Geometry” by Barrett O’ Neil (2nd edition)

Lecture notes for Differential Geometry made by James S. Cook for a class he taught at the Liberty University, which can be found on this site: http://www.supermath.info/DifferentialGeometry.html

- Projects:

Jean Weill: *“Calculus on Euclidean Space”*