# Homeworks and Exams

## Class of Dr. Kaplunovsky, Fall 2020 and Spring 2021

Navigation: Fall homeworks, Fall exams, Spring homeworks, Spring exams.

### Fall 2020 Homeworks

1. Set 1, due September 8; solutions and mathematical supplement.
2. Set 2, due September 15; solutions.
3. Set 3, due September 22; solutions.
4. Set 4, due September 29; solutions.
5. Set 5, due October; solutions.
6. Set 6, due October 13; solutions.
7. Set 7, due October 20; solutions.
8. Set 8, due October 27; solutions.
9. Set 9, due November 10; solutions.
10. Set 10, due November 17; solutions [updated 11/28].
11. Set 11, due November 24; solutions.
12. Set 12, due December 4; solutions.

#### For extra challenge

1. Reading assignment for the extra lecture on Bose–Einstein condensate:
Read my notes on the subject, including the proofs of all the lemmas.
Assigned 9/25, no due date.
2. In my notes on the fermionic Fock space, verify equations (28), (29), (31), and (34–35) for the relations between the wave-function and Fock-space formalisms for various operators. Assigned 10/15, no due date.

### Spring 2021 Homeworks

1. Set 13, due January 26; solutions.
2. In lieu of set 14, read about the Optical Theorem in §3.6 of Weinberg and in §7.3 of Peskin and Schroeder; due February 2.
3. Set 15, due February 9; solutions.
4. Set 16, due February 16. A reading assignment and an easy exercise, both from the Peskin & Schroeder textbook:
1. Study the two-loop example of a nested divergence in §10.5. Please read carefully, it's a hard calculation.
2. Solve problem 10.2, part (a); solutions.
5. Set 17; problem 1 is due on February 24 (Wednesday), problem 2 and problem 3 on March 2 (Tuesday).
Solutions to problem 1; solutions to problem 2.
6. Set 18, due March 9; solutions.
7. Set 19, due March 23; solutions.
8. Set 20, due April 9; solutions.
9. Set 21, due April 16; solutions.
10. Set 22, due April 23; solutions.
11. Set 23, due April 30; solutions.
12. Set 24, due May 7; solutions.

### Spring 2021 Exams

• Mid-term exam, to be posted March 25 and due April 2 (Friday night).
• End-term exam, to be posted May 7 and due May 14 (Fiday night).