Semester 1
Chapter 1 (The Emergence of Quantum Physics, Black body radiation, The photoelectric effect,The Compton effect,Electron Difraction,The Rutherford and Bohr atom,Stern-Gerlach experiment-quantization of angular momentum, The correspondence principle)(7/10/2010)
Chapter 2 ( Wave-Particle Duality,Probability, Schrodinger equation,The Heisenberg uncertainty, Expectation values , Momentum operator , Momentum space ) (21/10/2010)
Chapter 3 ( Eigen values, Eigen functions, Expansion postulate, Free particle, Parity operator) (10/11/2010)
Chapter 4 (the potential step, the potential well, the potential barrier, tunelling, cold emission, STM, bound state in potential well, Amonia Molecule, Delta function potential, Double delta function potential, the harmonic oscillator) (14/12/2010)
Chapter 5 (14/1/2011)
Chapter 6 ( Operator method in QM , Dirac Notation , Projection Operator,Operator of X , The energy Spectrum of HO A and A dagger Operator , raising and lowering , eigen states and eigen functions of HO , Hiesenberg and Schrodinger picture , time dependent operators)
(17/2/2011)
semester 2
Quantum mechanics
Quantum mechanics is one of the important lectures in both undergraduate and postgraduate stages. This lecture is a fundamental for understanding physics, and has many applications in other lectures and other courses as a base for students toward research and understanding the atomic and subatomic world.
For studying this lecture students need a sound background in analytical mechanics and mathematical physics(especially differential equations and Linear algebra) with modern physics(Atomic physics)on the other hand students need study special functions and Complex analysis parallel to Quantum mechanics. The lecture is designed for 3rd stage students in University of Sulaimani , in the end the students can work in the fields of Nuclear physics , Solid state Physics , Laser Physics and other fields of modern Science.
Summary of the lecture
Semester 1 (Quantum mechanics 1)
1st week
Chapter 1
The Emergence of Quantum Physics
In this chapter we review Black Body radiation , ,the photoelectric effect ,the Compton Effect , wave Properties And Electron Diffraction , the Bohr Atom and correspondence principle , and Stern-Gerlach experiment
2nd week
Chapter 2
Wave- Particle Duality, Probability, and the Schrödinger equation
In this Chapter we study Radiation as particles, Electrons as waves, and plane waves and wave packets and moving wave packets, the probability interpretation of the wave function is other part of the chapter.
We obtain Schrödinger equation and relation between wave function in Momentum and position spaces and the Heisenberg uncertainty relations, Diffraction of a photon and the probability current and expectation values and the momentum in wave mechanics are the final part of the chapter.
3rd week
Chapter 3
Eigen values, Eigen functions, and the Expansion Postulate
In this chapter we solve time-independent Schrodinger equation, with particle in a box as a useful example. On the other hand we study the expansion postulate and its physical interpretation, normalization of free particle and degeneracy, parity, will be other parts of the chapter.
4 and 5th weeks
Chapter 4
One dimensional potential
In this chapter some one dimensional potential will be solved. for example
The potential step, the potential well(-V0), the potential barriers, tunneling, bound state in a potential well, Delta function, Delta function potentials, and in final Harmonic Oscillator.
6th weeks
Chapter 5
The General Structure of Wave Mechanics
In this chapter we learn more about operators, expansion theorem, degeneracy and simultaneous observables and vector spaces
7 and 8th weeks
Chapter 6
Operator Methods in Quantum Mechanics
In this chapter we study properties of wave functions and vectors, Dirac notation, raising and lowering operators, Schrödinger and Heisenberg picture. We concentrate on a sample Harmonic Oscillator as a useful example.
9th week
Chapter 7
Angular momentum
In this chapter we study theory of angular momentum in level of undergraduate students.
10th week
Chapter 8
The Schrödinger equation in 3 dimensions and the Hydrogen Atom
In this Chapter our Concentration is on Schrödinger equation in 3 dimensions, in Cartesian and spherical coordinate. Free particle and degeneracy are other subjects. In final we solved the Schrödinger equation for central potential and Hydrogen atom, we obtain the levels of energy and wave functions (orbital ) for this atom .
Semester 2 (Quantum mechanics 2)
First and second weeks
Chapter 9
Matrix representation of operators
This chapter is about matrix representation of operators, operators are shown by matrices and arrays of numbers “the formulation in term of matrices is very useful in that it allows us to deal with quantities that have no classical counter part”.
Third and fourth weeks
Chapter 10
Spin
Spin is a new freedom degree in atomic and subatomic physics , there is no counterpart for spin in classical mechanics, “ the picture of an electron rotating about its own axis is wrong”, in this chapter we study eigenstates of spin ½ , the intrinsic magnetic moment of spin ½ particles, paramagnetic resonance, addition of two spins and in final the addition of spin ½ and orbital angular momentum.
5 and 6th weeks
Chapter 11
Time Independent Perturbation Theory
In general Schrödinger equation with a arbitrary potential is not solvable
We must develop techniques for obtaining eigenvalues and eigenfunctions for all potential. We study degenerate perturbation theory and the Stark effect too.
7 and 8th weeks
Chapter 12
The Real Hydrogen Atom
9 and 10th weeks
In this Chapter Relativistic Kinetic energy effect , Spin-Orbit Coupling, The Anomalous Zeeman Effect, Hyperfine Structure and reduced mass effect to approach a real Hydrogenlike atom theory
Chapter 13
Many particles System
In this chapter we study the two particle systems, Identical Particles, the exchange operator, the Pauli principle ,N Bosons and N Fermions in a potential well.
References
1-Gassiorowicz, Quantum Physics third edition ( Text book)
2-Griffth , Introduction to Quantum mechanics
3-Sakurai , Modern Quantum mechanics (Advanced book)
Homage of the lecture
You can find some useful links and text of the lectures and solved problems on
http://qmus-2010.blogspot.com
or
http://hossieni.tk
For studying this lecture students need a sound background in analytical mechanics and mathematical physics(especially differential equations and Linear algebra) with modern physics(Atomic physics)on the other hand students need study special functions and Complex analysis parallel to Quantum mechanics. The lecture is designed for 3rd stage students in University of Sulaimani , in the end the students can work in the fields of Nuclear physics , Solid state Physics , Laser Physics and other fields of modern Science.
Summary of the lecture
Semester 1 (Quantum mechanics 1)
1st week
Chapter 1
The Emergence of Quantum Physics
In this chapter we review Black Body radiation , ,the photoelectric effect ,the Compton Effect , wave Properties And Electron Diffraction , the Bohr Atom and correspondence principle , and Stern-Gerlach experiment
2nd week
Chapter 2
Wave- Particle Duality, Probability, and the Schrödinger equation
In this Chapter we study Radiation as particles, Electrons as waves, and plane waves and wave packets and moving wave packets, the probability interpretation of the wave function is other part of the chapter.
We obtain Schrödinger equation and relation between wave function in Momentum and position spaces and the Heisenberg uncertainty relations, Diffraction of a photon and the probability current and expectation values and the momentum in wave mechanics are the final part of the chapter.
3rd week
Chapter 3
Eigen values, Eigen functions, and the Expansion Postulate
In this chapter we solve time-independent Schrodinger equation, with particle in a box as a useful example. On the other hand we study the expansion postulate and its physical interpretation, normalization of free particle and degeneracy, parity, will be other parts of the chapter.
4 and 5th weeks
Chapter 4
One dimensional potential
In this chapter some one dimensional potential will be solved. for example
The potential step, the potential well(-V0), the potential barriers, tunneling, bound state in a potential well, Delta function, Delta function potentials, and in final Harmonic Oscillator.
6th weeks
Chapter 5
The General Structure of Wave Mechanics
In this chapter we learn more about operators, expansion theorem, degeneracy and simultaneous observables and vector spaces
7 and 8th weeks
Chapter 6
Operator Methods in Quantum Mechanics
In this chapter we study properties of wave functions and vectors, Dirac notation, raising and lowering operators, Schrödinger and Heisenberg picture. We concentrate on a sample Harmonic Oscillator as a useful example.
9th week
Chapter 7
Angular momentum
In this chapter we study theory of angular momentum in level of undergraduate students.
10th week
Chapter 8
The Schrödinger equation in 3 dimensions and the Hydrogen Atom
In this Chapter our Concentration is on Schrödinger equation in 3 dimensions, in Cartesian and spherical coordinate. Free particle and degeneracy are other subjects. In final we solved the Schrödinger equation for central potential and Hydrogen atom, we obtain the levels of energy and wave functions (orbital ) for this atom .
Semester 2 (Quantum mechanics 2)
First and second weeks
Chapter 9
Matrix representation of operators
This chapter is about matrix representation of operators, operators are shown by matrices and arrays of numbers “the formulation in term of matrices is very useful in that it allows us to deal with quantities that have no classical counter part”.
Third and fourth weeks
Chapter 10
Spin
Spin is a new freedom degree in atomic and subatomic physics , there is no counterpart for spin in classical mechanics, “ the picture of an electron rotating about its own axis is wrong”, in this chapter we study eigenstates of spin ½ , the intrinsic magnetic moment of spin ½ particles, paramagnetic resonance, addition of two spins and in final the addition of spin ½ and orbital angular momentum.
5 and 6th weeks
Chapter 11
Time Independent Perturbation Theory
In general Schrödinger equation with a arbitrary potential is not solvable
We must develop techniques for obtaining eigenvalues and eigenfunctions for all potential. We study degenerate perturbation theory and the Stark effect too.
7 and 8th weeks
Chapter 12
The Real Hydrogen Atom
9 and 10th weeks
In this Chapter Relativistic Kinetic energy effect , Spin-Orbit Coupling, The Anomalous Zeeman Effect, Hyperfine Structure and reduced mass effect to approach a real Hydrogenlike atom theory
Chapter 13
Many particles System
In this chapter we study the two particle systems, Identical Particles, the exchange operator, the Pauli principle ,N Bosons and N Fermions in a potential well.
References
1-Gassiorowicz, Quantum Physics third edition ( Text book)
2-Griffth , Introduction to Quantum mechanics
3-Sakurai , Modern Quantum mechanics (Advanced book)
Homage of the lecture
You can find some useful links and text of the lectures and solved problems on
http://qmus-2010.blogspot.com
or
http://hossieni.tk
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