Hiroshima University Syllabus

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Academic Year School/Graduate School Lecture Code 2020Year School of Science HC095000 Specialized Education 量子力学演習 リョウシリキガクエンシュウ Exercises in Quantum Mechanics SATO HITOSHI,MATSUMURA TAKESHI,MIYAMOTO KOUJI サトウ　ヒトシ,マツムラ　タケシ,ミヤモト　コウジ Higashi-Hiroshima 3rd-Year,  First Semester,  First Semester (1st) Weds7-10：SCI B101,SCI B301,AdSM 405N Seminar Problems and texts are prepared by lecturer.  Attendees are required to solve and understand the problems. In-class exercise using the blackboard. Preparation and review are highly required. 2 J : Japanese 3 : Undergraduate High-Intermediate 25 : Science and Technology 06 : Physics Semester No. 5 Quantum Mechanics, matrix algebra, angular momentum,  perturbation theory Physics（Abilities and Skills）・Ability to formulate and solve physical problems. To understand Quantum Mechanics, we will give exercises and problems for Quantum Mechanics II. 1. Review of quantum mechanics (I): Schroedinger equation, wave functions, probability interpretation.2. Review of quantum mechanics (II): Schroedinger equation, wave functions, probability interpretation.3. Review of quantum mechanics (III): operators, commutation relations, uncertainty principle, Delta function.4. Linear algebra of quantum mechanics (I): review of linear algebra, operators and observables, eigenvalue problems.5. Linear algebra of quantum mechanics (II): review of linear algebra, operators and observables, eigenvalue problems.6. Examples (I): square-well potential, harmonic oscillator7. Examples (II): hydrogen atom.8. Mid-term examination.9. Angular momentum (I): orbital angular momentum10. Angular momentum (II): spin angular momentum, total angular momentum11. Approximation methods (I): time independent perturbation without energy degeneracy12. Approximation methods (II): time independent perturbation with energy degeneracy13. Approximation methods (III): time dependent perturbation theory14. Approximation methods (IV): variational method15. Problems: absorption and emission of light, electron scattering.16. Final examination.The schedule follows that of Quantum Mechanics II.You are required to prepare, attend, and take part in the exercises. Materials for the exercise will be prepared by the lecturer.The contents and schedule will be adjusted depending on the level of the understanding of the attendees.Homework assignment and preparation is required for the in-class presentation. Basic problems and exercises are given by each lecturer.The recommended texts or exercise books are indicated by each lecturer and in Quantum Mechanics II.Homework exercise is recommended for those who have less skill for manipulating equations, to understand the physics in quantum mechanics. Textbook or materials for the exercise.Note books, pencils, and presentation on blackboard. 1-3rd: Review of the basic concepts of quantum mechanics, probability interpretation, Schroedinger equation, etc.4-5th: Review of linear algebra. Rather comprehensive preparations are required.6-7th: learn exactly solvable problems. Actual computations are required.9-10th: The concepts learned in 4-5th lectures are used to understand angular momentum in quantum mechanics. Review of 4-5th lectures might be required.10-14th: learn perturbation theories. This requires rather huge amount of calculations. The preparations and actual computations will be required using some basic text books or exercise books.15th: solve some physical phenomena using the learned concepts. You are required to prepare for homework problems.After the exercise, reviewing the idea and concepts by tracing the calculations is recommended to master them. Without it, you could get stuck.The class is divided into three groups.The grouping list will be announced in MOMIJI and in the physical science course bulletin board.You are required to have mastered Quantum Mechanics I. Reports, presentation, mini tests, mid-term and final examinations.The following weight ratio will be reflected to your final grade. mid-term test(40%), final exam.(40%), reports, presentation, mini test(20%) We give lectures in English for students having not-enough Japanese language skills. 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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