# Quantum Mechanics

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