Ders Bilgileri

#### Ders Tanımı

Ders Kodu Yarıyıl T+U Saat Kredi AKTS
INTRODUCTION TO QUANTUM MECHANICS CMM 524 0 3 + 0 3 6
 Dersin Dili Türkçe Dersin Seviyesi Yüksek Lisans Dersin Türü SECMELI Dersin Koordinatörü Prof.Dr. BARIŞ TAMER TONGUÇ Dersi Verenler Dersin Yardımcıları Dersin Kategorisi Dersin Amacı This course is proposed in order to show the quantum mechanical approach to various physical phenomena in multi disciplinary graduate programs. Dersin İçeriği Derivation of Schrödinger Wave Equation, statistical interpretation, probability, normalisation, momentum, uncertainty principle, stationary states, the infinite square well, the free particle, the finite square well, Schrödinger Equation in spherical coordinates, separation of variables, the angular equation, the radial equation, hydrogen atom, the radial wave function, the spectrum of hydrogen, angular momentum, spin, electron in a magnetic field, addition of angular momenta, two-particle systems, bosons and fermions, exchange forces.
 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 - Describe quantum mechanical systems. 1 - 4 - 15 - A - C - 12 - Make analysis of micro and nano systems. 1 - 4 - 15 - A - C - 13 - Uses Dirac Bra-ket notation. 1 - 4 - 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. Establishes a relationip between matter and energy. 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
7 Schrödinger Equation in Spherical Coordinates, [1] Page 121-133.
8 Separation of Variables, The Angular Equation, [1] Page 123-124.
9 The Radial Equation, [1] Page 129-132.
10 Hydrogen Atom, The Radial Wave Function, [1] Page 133-140.
11 The Spectrum of Hydrogen, Angular Momentum, [1] Page 143-144.
12 Spin, [1] Page 154-170.
13 Electron in a Magnetic Field, Addition of Angular Momenta, [1] Page 160-169.
14 Two-Particle Systems, Bosons and Fermions, Exchange Forces. [1] Page 177-185.
1 Derivation of Schrödinger Wave Equation, Statistical Interpretation, Probability, [1] Page 1-5.
2 Normalisation, Momentum, Uncertainty Principle, [1] Page 11-17.
3 Stationary States, [1] Page 20-24.
4 The Infinite Square Well, [1] Page 24-31.
5 The Free Particle, [1] Page 44-50.
6 The Finite Square Well, [1] Page 60-66.

#### Kaynaklar

Ders Notu [1] Introduction to Quantum Mechanics, D. J. Griffiths, Prentice Hall, New Jersey, 1995.
[2] Quantum Mechanics, L. D. Landau, E. M. Lifshitz, Elsevier Science, Oxford, 2003.
[3] Introduction to Quantum Mechanics, A. C. Phillips, John Wiley&Sons Ltd., West Sussex,2003.
Ders Kaynakları

#### Dersin Program Çıktılarına Katkısı

No Program Öğrenme Çıktıları KatkıDüzeyi
1 2 3 4 5

#### Değerlendirme Sistemi

YARIYIL İÇİ ÇALIŞMALARI SIRA KATKI YÜZDESİ
AraSinav 1 60
KisaSinav 1 15
KisaSinav 2 15
Odev 1 2
Odev 2 2
Odev 3 2
Odev 4 2
Odev 5 2
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 3 48
Hours for off-the-classroom study (Pre-study, practice) 16 3 48
Mid-terms 1 15 15
Quiz 2 5 10
Assignment 5 4 20
Final examination 1 15 15
Toplam İş Yükü 156
Toplam İş Yükü /25(s) 6.24
Dersin AKTS Kredisi 6.24
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