North Carolina A

North Carolina A & T State University
Department of Physics
Spring 2000

Course:	Phys 720-01 Quantum Mechanics II
Course:

Instructor:	Dr. Solomon Bililign
	Marteena Hall # 323 ex 7646, 7422 e-mail bililign@ncat.edu

Time :	Tuesdays & Thursdays @ 8:00-9:15 a.m.

Place :	Marteena # 312

Office Hours:	Tuesday 2:00- 4:00p.m.
	Thursday 2:00 - 4:00p.m.

Text:	Principles of Quantum Mechanics, Second edition
	R. Shankar ,Plenum Press

References:	R-1 Principles of Quantum Mechanics,
	Hans O. Ohanian, Addison-Wesley
	R-2 Introductory Quantum Mechanics: R. Liboff, Prentice Hall

Course objectives:	Extend quantum mechaics to systems with N degrees of freedom.
	The role of Symmetry, and theit consquences will be discussed
	Solve the Schridinger wquation in spherical cooudinates and applu it to the problem of he Hydrogen Atom, and theory of Angular Momentum( Orbital and Spin) and Addition of Angular Momentum
	Establish the mathematical properties of the waves that describe free particles.
	Deal with real-world quantum mechanics. This requires developing approximation techniques by using our repertoire of exact solutions: infinite square well, harmonic oscillator, hydrogen atom etc. with the Hamiltonian including interaction terms that can not be treated exactly. These interaction terms are called perturbations. Time dependent and Time Independent Theories will be considered. Other approximation techniques like the variational and WKB methods will be discussed.
	Introduce an elementary description of the quantum mechanical theory of scattering, which is one of the fundamental tools of physics used in probing atomic and subatomic domains.

Course Policy :
Quizzes:	There will be unannounced quizzes.
	You are encouraged to read the material before and after every lecture.
Homework:	Home work is an important part of the evaluation process. Problems assigned for each week are listed in the course outline. You are expected to solve all assigned problems and submit the next week every lecture. Understanding and mastering this course is dependent on your effort to work out the assigned problems.



Exams:	There will be two exams and a final for this course. The date and
	time of these exams will be announced later. Final exam will be comprehensive.

Grading:	The distribution of the grades is as follows
	Home works..........................50%
	Exams(2)............................... 30%
	Final Exam.............................20%

Course outline:

Date	Chapter/ Section	Topic
week 1 & 2	Chapter 10	Systems with N Degrees of Freedom Problems: 10.1.1., 10.1.2., 10.2.1, 10.2.3, 10.3.1, 10.3.2, 10.3.3
week 3	Chapter 11	Symmetries and their consequences Problems : 11.2.2, 11.2.2, 11.2.3, 11.4.1, 11.4.2,
week 4	Chapter 12	Rotational Invariance and Angular momentum Problems: 12.1.1, 12.2.2,12.2.3, 12.3.2, 12.3.3,12.3.4, 12.3.6, 12.3,8, 12.4.3,
week 5	Chapter 12	Angular Momentum Problems: 12.5.1,12.5.2, 12.5.4, 12.5.5, 12.5.10,12.5.13, 12.5.14, 12.6.1, 12.6.5,12.6.8,
week 6	Chapter 13	he Hydrogen Atom Problem: 13.1.2, 13.1.3, 13.1.5, 13.3.2, 13.4.1, 13.4.3
week 7	Chapter 14	Spin Problems :14.3.1, 14.3.2, 14.3.3, 14.3.6, 14.3.7, 14.3.8, 14.4.2, 14.4.6, 14.5.4
week 8	Chapter 15	Addition of Angular Momenta Problems: 15.1.2, 15.2.2, 15.2.3, 15.2.5, 15.2.7, 15.3.1,
week 9	Chapter 16	The Variational and WKB Methods Problems: 16.1.1, 16.1.2, 16.1.3,16.2.2, 16.2.3, 16.2.4
week 10	Chapter 17	Time Independent Perturbation Theory. Problems: 17.2.1, 17.2.2, 17.2.3, 17.2.5,
week 11	Chapter 17	Time Independent Perturbation Theory. Problems: 17.2.7, 17.3.2, 17.3.3
week 12	Chapter 18	Time-Dependent Perturbation Theory. Problems: 18.2.1, 18.2.2, 18.2.3, 18.2.5, 18.2.6,
week 13	Chapter 18	Time-Dependent Perturbation Theory. Problems: 18.4.2, 18.4.3, 18.5.1, 18.5.2,
week 14	Chapter 19	Scattering Theory Problems: 19.3.1., 19.3.2, 19.3.3,
week 15	Chapter 19	Scattering Theory Problems: 19.5.1, 19.5.2, 19.5.4, 19.5.5