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QUANTUM MECHANICS

Course Code: 
PHYS 311
Semester: 
Spring
Course Type: 
Core
P: 
4
Lab: 
0
Laboratuvar Saati: 
0
Credits: 
4
ECTS: 
8
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

80

Quizzes

4

10

Homework

8

10

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

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: 16x Total course hours)

16

4

64

Hours for off-the-classroom study (Pre-study, practice)

16

4

64

Mid Terms

2

10

20

Quizzes

4

1

4

Homework

8

3

24

Problem Session

5

1

5

Final (Including Reparation)

2

10

20

Total Work Load

 

 

201

Total Work Load/ 25 (s)

 

 

8.04

ECTS Credit of the Course

 

 

8