Ders Bilgileri

#### Ders Tanımı

Ders Kodu Yarıyıl T+U Saat Kredi AKTS
QUANTUM MECHANICS FIZ 331 5 4 + 2 5 8
Ön Koşul Dersleri Modern Physics and Mathematical Methods in Physics courses are recomended to take previously.
 Dersin Dili Türkçe Dersin Seviyesi Lisans Dersin Türü ZORUNLU Dersin Koordinatörü Doç.Dr. ÖMER TAMER Dersi Verenler Doç.Dr. ÖMER TAMER Dersin Yardımcıları Teaching Assistants of Physics Department Dersin Kategorisi Dersin Amacı To explain students quantum mechanical concepts based on Atom and Molecular Physics, Condensed Matter Physics and Nuclear Physics To approximate methods using in quantum mechanics, to obtain the sum of angular momentums of a system, and to obtain information about symmetry and translations. Dersin İçeriği Historical Development, Schrodinger equation, One-dimensional systems, General formulation of quantum mechanics, Three dimensional problems. Approximate methods used in quantum mechanics, Angular momentum and spin, Symmetry and translations.
 Dersin Öğrenme Çıktıları Öğretim Yöntemleri Ölçme Yöntemleri 1 - Defines Schrodinger wave equation and analysis properties of its. 1 - 2 - 3 - 4 - 6 - 15 - A - C - 2 - Interprets and exemplifies Schrodinger wave equation in different potential. 1 - 2 - 3 - 4 - 6 - 15 - A - C - 3 - Explains hypothesis of quantum mechanics. 1 - 2 - 3 - 4 - 6 - 15 - A - C - 4 - Investigates whether operators are hermitian or not in quantum mechanics. 1 - 2 - 15 - A - C - 5 - Disputes and exemplifies concepts of eigenvalue and eigen function. 1 - 2 - 3 - 4 - 6 - 15 - A - C - 6 - Obtains and interprets Heisenberg’s uncertainty principle. 1 - 2 - 3 - 4 - 6 - 15 - A - C - 7 - Investigates laws of conservation with the help of hermiticity. 1 - 2 - 3 - 4 - 6 - 15 - A - C - 8 - Analysis wave mechanics of hydrogen atom with the help of spherical coordinates. 1 - 3 - 6 - 15 - A - C - 9 - Obtains and explains eigenvalue equations of orbital angular momentum. 1 - 2 - 3 - 4 - 6 - 15 - A - C - 10 - Outlines quantum numbers and physical meanings. 1 - 3 - 4 - 6 - 15 - A - C - 11 - Describes quantum mechanical systems. 1 - 4 - 15 - A - C - 12 - Makes analysis of micro and nano systems. 1 - 4 - 15 - A - C - 13 - Uses Dirac Bra-ket notation. 1 - 15 - A - C - 14 - Applies uncertainty principle to the quantum mechanical incidents. 1 - 4 - 15 - A - C - 15 - Percieves the concept of spin as an quantum mechanical concept. 1 - 4 - 15 - A - C -
 Öğretim Yöntemleri: 1:Lecture 2:Question-Answer 3:Discussion 4:Drilland Practice 6:Motivations to Show 15:Problem Solving Ölçme Yöntemleri: A:Testing C:Homework

#### Ders Akışı

Hafta Konular ÖnHazırlık
1 Historical Development, Schrodinger wave equation(Probability of wave functions, expectation values, Momentum space) [2] Pages 81-93, [1] Pages 42-55
2 Solution of Schrodinger equation for different potentials., Hermitian operators, Presentation of matrix operators [1] Pages 63-88, [2] Pages 201-209
3 Derivation of eigenvalue equations of Hamiltonian Operator with Heisenberg matrix mechanics. [2] Pages 210-212
4 Matrix Representations of some angular momentum operators, Angular momentums and commutation relations [2] Pages 213-226, [2] Pages 190-192
5 Commutation relations of Raising and Lowering operators, Eigenvalue equations of angular momentum operators. [2] Pages 193-197
6 Time dependence of expecting values, Three dimensional problems (Potentials of Spherical Symmetry) [2] Pages 198-200
7 Three dimensional problems (Eigenfunctions of angular momentum), General properties and applications of Radial Schrodinger Equation [1] Pages 125-136
8 Matrix representations of linear operators, Hermitian operators(Summary), Commutation and measurement [1] Pages 136-143, [1] Pages 101-108, [1] Pages 111-117
9 MIDTERM EXAM
10 Uncertainty principle, interpretation of energy-time uncertainty equation, Dirac Bra-Ket notation [2] Pages 55-58, [4] Pages 112-115, [1] Pages 117-119
11 Some special operators(parity and projection operators), Circumstances and systems required using approximate methods in quantum mechanics [1] Pages 120-122, [1] Pages 159-161
12 Solutions with first and second degree contributions and contribution theory of multiple situations, Variational Method [1] Pages 161-173
13 Algebra of angular momentum, Sum of two angular momentum, Total wave functions of particles with spin ½ [1] Pages 189-201, [1] Pages 202-206
14 Eigenvectors of Hydrogen atoms, Translation, unitary transformations, rotation and reflection [1] Pages 207-209, [1] Pages 220-232

#### Kaynaklar

Ders Notu [1] Introduction to Quantum Mechanics, B. Karaoğlu, Seçkin Corp. İstanbul, 2006.
[2] Quantum Phycsics, E. Aygün, M.Zengin, Bilim Publishing, İstanbul, 1995.
[3] Quantum Mechanics, L. D. Landau, E. M. Lifshitz, Bilim Publishing., Ankara, 2000.
[4] Introduction to Quantum Mechanics, D. J. Griffiths, Prentice Hall New Jersey, 1995.
Ders Kaynakları [5] Quantum Mechanics 1, T. Dereli, A. Verçin, METU press, Ankara, 1998.
[6] Quantum Mechanics, Ç. Cansoy, Published by Istanbul University, Faculty Arts&Sciences, İstanbul, 1994.

#### Dersin Program Çıktılarına Katkısı

No Program Öğrenme Çıktıları KatkıDüzeyi
1 2 3 4 5
1 Having enough background in engineering topics related to mathematics, science and their fields. Skill of using theoretical and applied knowledge with engineering solutions in the field, X
2 Identifing, determining, formulating and solving engineering problems. With this purpose choosing and applying analytical methods and modelling techniques, X
3 To analyze a system, a part of a system or a process itself and the skill of design under the given constrains in order to fulfill the specifications. In that direction, the skill of applying modern design techniques X
4 Skill of choosing and applying the modern techniques and vehicles needed by the engineering applications. Skill of using the information technology effectively. X
5 Skill of designing and performing an experiment, data acquisition, analyzing and interpreting results, X
6 Ability of accessing information and doing research. Skill of using databases and other information sources. X
7 Effective working ability both as an individual and as a part of a multi-disciplinary team, self-esteem on taking responsibility, X
8 Ability to make oral or written communication in Turkish. At least one foreign language knowledge, X
9 Consciousness of the necessity of the life time learning, following the developments in science and technology and ability of ones’ continous self renewal. X
10 Consciousness of occupational and ethical responsability, X
11 Consciousness on the subjects of project management, field applications, employees health, environment and work safety; awareness on legal consequences of engineering applications, X

#### Değerlendirme Sistemi

YARIYIL İÇİ ÇALIŞMALARI SIRA KATKI YÜZDESİ
AraSinav 1 60
KisaSinav 1 15
KisaSinav 2 15
Odev 1 10
Toplam 100
Yıliçinin Başarıya Oranı 50
Finalin Başarıya Oranı 50
Toplam 100

#### AKTS - İş Yükü

Etkinlik Sayısı Süresi(Saat) Toplam İş yükü(Saat)
Course Duration (Including the exam week: 16x Total course hours) 16 6 96
Hours for off-the-classroom study (Pre-study, practice) 16 4 64
Mid-terms 1 10 10
Quiz 2 4 8
Assignment 1 10 10
Final examination 1 15 15
Toplam İş Yükü 203
Toplam İş Yükü /25(s) 8.12
Dersin AKTS Kredisi 8.12
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