Quantum Mechanics

Course Code:

PHYS 311

Semester:

Spring

Course Type:

Core

P:

4

Lab:

0

Laboratuvar Saati:

0

Credits:

4

ECTS:

8

Prerequisite Courses:

Modern Physics

Course Language:

English

Course Objectives:

The aim is to teach the physical foundations and interpretation of quantum mechanics and the mathematical structures on which they depend. Computational techniques will also be emphasized.

Course Content:

Review of the old quantum theory. Wave particle duality, Uncertainity and correspondance principles, Momentum space, Schroedinger equation and the physical interpretation of the wave function. Bound and scattering state solutions in one dimensional potentials. Eigenvalues and eigenfunctions. Operator formalism. Matrix mechanics. Many particle systems. Two particle central force problem. Angular momentum and spin. Identical particles. Perturbation theory.

Course Methodology:

1: Lectures, 2:Problem Sets 3: Problem Sessions

Course Evaluation Methods:

A: Examination , B: Homework

Vertical Tabs

Course Learning Outcomes

Learning Outcomes	Teaching Methods	Assessment Methods
1) Understands the mathematical foundations of quantum mechanics (Differential equations, vectors, matrices, Fourier analysis)	1,2,3	A,B
2) Understands the physical foundations of quantum mechanics (Classical Mechanics, Correspondance and uncertainity relations), studies the scientific and technological applications.	1,2,3	A,B
3) Gains the ability to apply knowledge in Physics and Mathematics.	1,2,3	A,B
4) Designs and performs experiments(measurement, research setup etc.), develops ability to analyze and interpret experimental results.	1,2,3	A,B
5) Knows wave theory, probability theory and their applications.	1,2,3	A,B
6) Gains the ability to define formulate and solve physics problems.	1,2,3	A,B
7) Gains the ability to apply techniques and devices necessary for physical applications	1,2,3	A,B

Course Flow

Week	Topics	Study Materials
1	MATHEMATICAL FOUNDATIONS OF QUANTUM MECHANICS	Mechanics, Math Methods of Physics
2	PHYSICAL FOUNDATIONS OF QUANTUM MECHANICS, MODERN PHYSICS	Modern Physics, Conservation Laws
3	SCHRÖDINGER WAVE EQUATION, WAVE FUNCTION	Differential Equations
4	EIGENVALUE AND EIGENVECTORS, EXPANSION POSTULATE, INTERPRETATION AND APPLICATIONS	Sturm Liouville Theory
5	BOUND STATE PROBLEMS IN ONE DIMENSION	Differential Equations
6	ONE DIMENSIONAL PROBLEMS, STRUCTURE OF QUANTUM MECHANICS	Differential Equations, Probability
7	MIDTERM EXAM
8	OPERATORS, SYMMETRY AND CONSERVATION LAWS	Classical Mechanics
9	PROBLEMS IN MORE THAN ONE DIMENSION, SEPARATION OF VARIABLES, MANY PARTICLE WAVE FUNCTIONS	Math. Methods in Physics
10	MATRIX MECHANICS, ANGULAR MOMENTUM PROBLEM	Linear Algebra
11	PROBLEMS WITH SPHERICAL SYMMETRY. THE HYDROGEN ATOM	Math. Methods in Physics
12	SPIN AND IDENTICAL PARTICLES	Angular Momentum Operators
13	PERTURBATION THEORY	Math. Methods in Physics
14	REVIEW AND MIDTERM EXAMINATION

Recommended Sources

Textbook

Stephen Gasiorowicz “Quantum Physics” Third Edition, John Wiley (2003)

Additional Resources

David Griffiths, “Introduction to Quantum Mechanics” Second Edition Benjamin Cummings (2004), Mathematics for Quantum Mechanics, An Introductory Survey of Operators, Eigenvalues, and Linear Vector Spaces ,John David Jackson.

Material Sharing

Documents	“Quantum Mechanics Demystified” David McMahan, Schaum’s Outline of Theory and Problems of Quantum Mechanics” by Y. Peleg, R. Pnini, E. Zaarur Schaum’s Outlines for (a) Advanced Calculus (M. Spiegel, R. C. Wrede), (b) Differential Equations and (c) Matrices (R. Bronson)
Assignments	Problems from the textbook
Examinations

Assessment

IN-TERM STUDIES	NUMBER	PERCENTAGE
Mid-terms	2	40
Quizzes	4	20
Final	1	40
Total		100
Contribution of Final Examination to Overall Grade		40
Contribution of In-Term Studies to Overall Grade		60
Total		100

Course’s Contribution to Program

No	Program Learning Outcomes	Contribution
No	Program Learning Outcomes	1	2	3	4	5
1	gains the ability to apply the knowledge in physics and mathematics					X
2	gains the ability to construct an experimental setup, perform the experiment, analyze and interpret the results		X
3	is supposed to have the education required for the measurements in scientific and technological areas	X
4	is able to work in an interdisciplinary team	X
5	is able to identify, formulate and solve physics problems					X
6	is conscious for the professional and ethical responsibility	X
7	is able to communicate actively and effectively	X
8	is supposed to have the required education for the industrial applications and the social contributions of physics	X
9	is conscious about the necessity of lifelong education and can implement it	X
10	is supposed to be aware of the current investigations and developments in the field		X
11	can make use of the techniques and the modern equipment required for physical applications	X

ECTS

Activities	Quantity	Durationi (Hour)	Total Workload (Hour)
Course Duration (Including the exam week: 14x Total course hours)	14	4	56
Hours for off-the-classroom study (Pre-study, practice)	14	9	126
Mid Terms	2	2	4
Quizzes	4	1	4
Problem Session	5	1	5
Final (Including Reparation)	2	3	6
Total Work Load			201
Total Work Load/ 25 (s)			8.04
ECTS Credit of the Course			8

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