Syllabus Spring 2018 Physics V2600

Physics V260: Quantum Mechanics II

MW 11:00 { 12:40 am, NAC{4=157
Instructor: Prof. B. Tiburzi
Office Hours: M 4:00 { 6:00 pm, MR{309A, or by appointment.
Email: btiburzi@ccny.cuny.edu
Grading: Homework Assignments: 30%
Midterm exams: 2 20% (February 20, April 16)
Final exam: 30% (Wednesday, May 23, 10:30 am)
Text: J. J. Sakurai and J. Napolitano, Modern Quantum Mechanics, Second Ed., Addison-Wesley (2011).

Course Objectives:
1. Understand the concept of symmetry and its implications for quantum mechanical computations.
2. Apply the formalism of quantum mechanics to solve central force problems, including the Coulomb problem.
3. Understand the quantum properties of hydrogenic and exotic atoms.
4. Compute corrections to quantum mechanical observables using time-independent perturbation theory.
5. Understand the signicance of Green's functions and their application to scattering processes.
6. Know the consequences a central potential has on scattering and low-energy cross sections.
7. Understand the connection between analyticity and properties of scattering amplitudes.
Academic Integrity and Plagiarism: The CCNY policy on Academic Integrity will be strictly adhered
to. The document entitled, CUNY Policy on Academic Integrity, is available from the link at the bottom of the
CCNY homepage. Make sure you have read the details regarding plagiarism and cheating, and be clear about the
rules that the college follows. Cases where academic integrity is compromised will be prosecuted to the fullest extent
according to these rules.

Attendance: Class sessions will focus on discussing concepts, deriving key formul, as well as solving problems.
A few keys to success in this course are regular attendance, on-time arrival, and participation in entire class sessions.
Absence from an exam without prior permission, or unavoidable circumstances (such as sickness, emergency, : : :) will
result in a zero for the exam score.

Assignments: Solving problems is absolutely crucial to your success in the course. For this reason, homework
assignments contribute a sizeable fraction to the nal course grade. Assigned problems will be of various types.
Some problems will be exercises that apply methods derived in class to various physical situations. Others will be
extensions of classwork, for example, lling in details omitted in class, or extending results to more general cases.
Finally some problems will be used to motivate future lecture material. Keeping current with lecture and homework
is thus essential. While collaboration is encouraged, each student must produce their own written solutions to the
assignments. Each student, furthermore, will demonstrate their up-do-date knowledge of class material through short
quizzes.

Class Schedule
The coverage of topics listed is only approximate. Classes will not be held on the crossed out dates. The starred date
is a Tuesday that follows a Monday schedule. Boxed dates represent classes during which assignments will be due.

Date Topic
1/29 Symmetries in Quantum Mechanics
1/31 Parity and Invariance
2/5 Answers without Calculations
2/7 Projection Theorem
2/12 Lincoln's Birthday
2/14 Adding Spin-Half to Spin-Half
2/19 Presidents' Day
*2/20* Early-Term Exam
2/21 Angular Momentum in the Deuteron
2/26 Central Forces
2/28 Coulomb Problem I
3/5 Coulomb Problem II
3/7 First-Order Perturbations
3/12 Finite Nuclear Size
3/14 Fine Structure
3/19 Time-Independent Perturbation Theory I
3/21 Time-Independent Perturbation Theory II
3/26 Quadratic Stark Shift
3/28 The Degenerate Case
4/9 Linear Stark Eect
4/11 Friday Schedule
4/16 Late-Term Exam
4/18 Green's Functions in Quantum Mechanics
4/23 Scattering Theory I
4/25 Scattering Theory II
4/30 Optical Theorem
5/2 Cross Section
5/7 Partial Waves I
5/9 Partial Waves II
5/14 Hard Sphere Scattering
5/16 Analytic Properties and Scattering
5/23 Final Exam