Hiroshima University Syllabus

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Academic Year 2024Year School/Graduate School School of Science
Lecture Code HD090000 Subject Classification Specialized Education
Subject Name 量子力学III
Subject Name
Subject Name in
Quantum Mechanics III
タナカ アラタ
Campus Higashi-Hiroshima Semester/Term 3rd-Year,  Second Semester,  Second Semester
Days, Periods, and Classrooms (2nd) Fri3-4:SCI E002 AV
Lesson Style Lecture Lesson Style
(More Details)
The traditional way of lecturing with black board. 
Credits 2.0 Class Hours/Week   Language of Instruction J : Japanese
Course Level 4 : Undergraduate Advanced
Course Area(Area) 25 : Science and Technology
Course Area(Discipline) 06 : Physics
Eligible Students 3rd-Year, Department of Physics
Keywords Angular momentum coupling, the second quantization (an introduction to quantum field theory), charged particles in magnetic field, perturbative treatment of transition process and scattering, the quantum mechanical description of relativistic electrons (the Dirac equation) 
Special Subject for Teacher Education   Special Subject  
Class Status
within Educational
(Applicable only to targeted subjects for undergraduate students)
This lecture is intended for students who learnt the quantum mechanics in Quantum Mechanics I, II to extend their knowledge and understanding to a higher-level framework of it and to apply it to the real-world phenomena. 
Criterion referenced
(Applicable only to targeted subjects for undergraduate students)
(Knowledge and Understanding)
・Knowledge and understanding of specialized field of elementary particle physics, cosmophysics, astrophysics, solid-state physics, condensed matter physics and radiation physics. 
Class Objectives
/Class Outline
To further deepen the understanding of the quantum mechanics learnt in Quantum Mechanics I, II and to master fundamental knowledge of it required for the fields of elementary particle physics, nuclear physics, astrophysics and condensed matter physics. 
Class Schedule Lecture 1 The eigenvalues and eigenfunctions of the angular momentum operator

Lecture 2 Angular momentum coupling

Lecture 3 Applications of angular momentum coupling (examples: systems with the spin-orbit interaction and the exchange interaction).
Lecture 4 Charged particles in magnetic field (1): the Zeeman effect and diamagnetism.
Lecture 5 The eigenvalues and eigenfunctions of the one-dimensional harmonic oscillator and the creation and annihilation operators.
Lecture 6 Quantum many-body systems (1): the second quantization.
Lecture 7 Quantum many-body systems (2): the quantization of the lattice vibration.
Lecture 8 Quantum many-body systems (3): the quantization of the electromagnetic field.

Lecture 9 Quantum many-body systems (4): two electron problem; electronic state of atoms and the periodic table.
Lecture 10 Charged particles in magnetic field (2): local gauge transformation, the Landau quantization and the Aharonov-Bohm effect.

Lecture 11 Perturbative treatment of transition process (1): the Born approximation and the Rutherford scattering
Lecture 12 Perturbative treatment of transition process (2): Fermi's golden rule, emission and absorption of photon, the electric dipole transition and its selection rules.
Lecture 13 General description of the scattering of a particle in a spherical potential: phase shift and the optical theorem.
Lecture 14 The Dirac equation (1): Lorentz invariance and derivation of the Dirac equation, the plane-wave solution (relativistic free electrons).
Lecture 15 The Dirac equation (2): the non-relativistic limit (the magnetic moment of electron and the spin-orbit interaction).

In addition to above lectures, the final examination will be held in the end of this lecture course. Submission of a report is required for every lecture. 
No particular textbook is specified. The titles below are reference books which contain the majority of subjects dealt with in this lecture:
"Modern Quantum Mechanics" by J. J. Sakurai and Jim Napolitano (Cambridge University Press)
"Quantum Mechanics" by Albert Messiah (Dover Books on Physics, English translation)
"Quantum Mechanics: A Shorter Course of Theoretical Physics" by L. D. Landau and‎ E. M. Lifshitz (Pergamon Press, English translation) 
PC or AV used in
(More Details) mainly black board; printed materials to supplement the lecture will be provided. 
Learning techniques to be incorporated  
Suggestions on
Preparation and
Revision through the subjects learnt in Quantum Mechanics I, II is recommended:
in lesson1, angular momentum, in lesson 5, the harmonic oscillator and in lesson 11, time-dependent perturbation theory.
The basic knowledge of the special theory of relativity is required in lessons 14-15.
Lessons 4, 8, 10 and 12 require the knowledge learnt in Electromagnetism I, II. 
Grading Method The final examination (70 %) and reports (30 %). 
Practical Experience  
Summary of Practical Experience and Class Contents based on it  
Message Revision through the subjects learnt in Quantum Mechanics I, II is recommended before attending this lecture. 
Please fill in the class improvement questionnaire which is carried out on all classes.
Instructors will reflect on your feedback and utilize the information for improving their teaching. 
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