## Quantum Mechanics

Course Code:
22354
Course Outline:

Quantum Mechanics 22354

Fall 2010

Instructor: Prof. Dr. Sami M. AL-Jaber ( Professor of Theoretical Physics)

Office:       Room 2780, 2nd floor, Science Building.

Phone:       (09) 23 45 113/6 Ext. 2306  (New campus)

Office Hours: S T Thu. 9:00 – 11:00 + M W 8:00 – 9:30

E. Mail: jaber@najah.edu

Textbook: D. J. Griffiths," Introduction to quantum Mechanics", 1995,

Prentice Hall.

Lecture Time: 12:00 – 1:00 S T Thu.

Place:   Room 14G0340

COURSE OBJECTIVES:

The successful student will obtain a thorough introduction to the theory Quantum Mechanics including:

• Quantum mechanical solution of simple systems such as the harmonic oscillator and a particle in a potential well.
• Improved mathematical skills necessary to solve differential equations and eigenvalue problems.

The overall intent of this course is to build upon your foundation from Modern Physics. Quantum Mechanics has many new concepts including operators, observables, Hilbert space, and state functions. The book starts with the Schrödinger equation and applies it to simple physical systems. You should, of course, already be familiar with simple quantum systems and the semi-classical Bohr theory of hydrogen. The more rigorous mathematical approach presented by Griffiths provides the quantum mechanical basis used by practicing physicists.

Relation to departmental goals:

The course gives the student the mathematical skills for solving

quantum mechanical problems and to understand the microscopic

nature of physical systems. In addition, it provides the experience to

compute the relevant quantum quantities like energy bound states.

Course Outlines:

Chapter 1: The wave function

Schrödinger equation, Interpretation, Probability, Normalization

Momentum in quantum mechanics.

Chapter 2: Time-independent Schrödinger equation in 1- dimension.

Stationary states, Infinite square-well, One-dimensional harmonic

oscillator, Free particle, Wave packet, delta-function potential,

the finite square well, Scattering matrix.

Chapter 3: Formal structure of quantum mechanics

Linear algebra, function spaces, generalized interpretation of

quantum mechanics, the uncertainty principle.

Chapter 4: Quantum mechanics in three dimensions

Three-dimensional Schrödinger equation, angular equation,

radial equation, the hydrogen atom, energy eigenvalues and

eigen functions,

Assignments: There will be about eight home work problems during

the semester.

Two – midterm exams                 40%

Home works                10%

Final Exam                   50%