Numbering Code	U-ENG25 35018 LJ75 U-ENG25 35018 LJ77 U-ENG25 35018 LJ71	Year/Term	2022 ・ First semester
Number of Credits	2	Course Type	Lecture
Target Year		Target Student
Language	Japanese	Day/Period	Fri.2
Instructor name	MIYADERA TAKAYUKI (Graduate School of Engineering Professor)
Outline and Purpose of the Course	Quantum theory is one of the most successful theories in the modern physics. It explains well a lot of peculiar phenomena which can not be understood within the classical theory. The main purpose of this course is to understand the fundamental mathematical structure of the quantum theory. We may use online materials. Check PandA in advance.
Course Goals	An important purpose of this course is to understand the fundamental mathematical structure of the quantum theory. In addition one is hoped to become capable to calculate some basic properties of a quantum mechanical particle on one-dimensional space.
Schedule and Contents	1. Introduction. Wave mechanics and matrix mechanics. 2. Mathematical structure of quantum theory (1) State and observable. 3. Mathematical structure of quantum theory (2) Hilbert space and state vectors. 4. Mathematical structure of quantum theory (3) operators and observables 5. Mathematical structure of quantum theory (4) Schroedinger equation and time evolution 6. One particle on one-dimensional space (1) classical theory and its quantization 7. One particle on one-dimensional space (2) CCR and Robertson's uncertainty relation 8. Potential problem (1) General theory 9. Potential problem (2) General theory and its mathematical addendum 10. Square well potential 11. Box potental 12. Scattering theory 13. Harmonic oscillator (1) 14. Harmonic oscillator (2) 15. Summary
Evaluation Methods and Policy	【Evaluation method】 　Evaluation will be based on reports. 【Evaluation policy】 　The result of reports should be 60 and above out of 100. 　　60 and above: Passed 　　59 and below: Failed
Course Requirements	Classical mechanics, Linear algebra
Study outside of Class (preparation and review)	Clarify what you have learnt and what you do not understand. Solve a problem set which will be distributed.
References, etc.	Modern Quantum Mechanics (J.J.Sakurai) isbn{}{9780805382914} isbn{}{9781292024103} Lectures on Quantum Theory (C.J. Isham) isbn{}{1860940013}
Courses delivered by Instructors with Practical Work Experience	分類： A course with practical content delivered by instructors with practical work experience
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