| Course title | |||||
| 量子力学 [Quantum Mechanics] | |||||
| Course category | technology speciality courses | Requirement | Credit | 2 | |
| Department | Year | 2～4 | Semester | 3rd | |
| Course type | 3rd | Course code | 022255 | ||
| Instructor(s) | |||||
| 鵜飼 正敏 [UKAI Masatoshi] | |||||
| Facility affiliation | Faculty of Engineering | Office | Email address | ||
| Course description |
|
Register to the Googleclassroom of the Class-code: 36usrp6 Students should bring in the lecture room L0035 with their own personal notebook PC. The details of the lectures are shown in the GoogleClassroom. Through the Classroom, the reference materials will be provided. Submission of the requested reports are also to be made through it as well. The outline of the lectures is as follows. Engineers graduated from the department of Biomedical Engineering shall commit, based on their academic background of physical engineering, electronics and electric engineering, and mechanical engineering, to develop frontier medical and diagnosis technologies, where the theoretical foundation of the physics of microscopic particles and materials, namely Quantum Mechanics, is indispensable. It is because the technologies in this field are based on the understanding of the chemical, dynamic, and electronic transition-behaviors of microscopic matters, such as bio-molecules and cells. Quantum Mechanics is one of the theories in physics. Based on the particle/wave duality and uncertainty lying beneath the material properties, the Quantum Mechanics explains microscopic physical phenomena, which are difficult to understand in the framework of the classical theories. The present series of lecture aims you to become able to understand the above mentioned behaviors through solving the fundamental equation in quantum mechanics, i.e., the Schrodinger equation, for typical and simple cases of microscopic problems in one- through three-dimensional systems. |
| Expected Learning |
|
Students are expected 1) to became able to describe the basics of quantum mechanics, such as the meaning of a wave function. 2) to become able to solve simple one-dimensional problems of the Schrodinger equation and then explain the basic properties of quantum mechanics. and 3) to become able to solve simple three-dimensional problems of the Schrodinger equation and then explain the basic properties of quantum mechanics. Corresponding criteria are shown in the Diploma Policy of the department of Biomedical Engineering. See also the corresponding Curriculum maps. |
| Course schedule |
|
Weeks 1,2 The Schrodinger equation: wave functions, Born's interpretation, expectation values, operators, Ehrenfest's theorem Weeks 3-6 One-dimensional problems; Reflection and transmission: Potential barrier, potential step, tunnel effect Harmonic oscillator Week 7 Mid-term test Weeks 8, 9 One-dimensional problems; Bound states: Square-well potential, harmonic oscillator Weeks 10-14 Expansion of the idea of mechanical system into the three dimension The method to derive the spherical harmonics and their physical meaning The method to derive the radial wave functions and their physical meaning Conclusions Week 15 Term-end examination |
| Prerequisites |
|
Since the Quantum Mechanics is the mechanical theory for microscopic particle having duality property, which stands by itself. However, is desirable that students have studied the series lectures the Classical Mechanics, the Electromagnetism, and the Physics of Wave (not necessary to have completed the credits of those courses). Students are recommended to prepare for and revise the lecture, spending the standard amount of time as specified by the University and using the lecture handouts as well as the references specified below. For those self-organized studies, text and built-in homework are prepared as much as possible. |
| Required Text(s) and Materials |
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Not specified. Every typical textbook of quantum mechanics describes the theory in this course of lecture. |
| References |
|
0) B. H. Bransden and C. H. Joachain, “Physics of Atoms and Molecules”, Prentice Hall (Japanese translation is not available). 1) A. Hatakeyama, “Quantum Mechanics” Nihon Hyoron Sha Co. (written in Japanese) 2) M. D. Fayer, “Elements of Quantum Mechanics”, translated by T. Tani (Professor Emeritus, TUAT), Tokyo University Press (Japanese translation). 3) M. D. Fayer, “Zettai Bisho”, (original title “Absolutely Small”), Translated by K. Ushida and J. Yoshinobu, Kagaku Dojin Pub. (Japanese translation). 4) K. Inoki and H. Kawai, “Basics in Quantum Mechanics” Kodansha Scientific Pub. (written in Japanese) |
| Assessment/Grading |
| Examinations, term-end exam. 50%, Homework 50%. |
| Message from instructor(s) |
| The behaviors of bio-molecules and bio-cells are the dynamics of microscopic systems, so that, for example, it is completely difficult to analyze the biological functions of, say, “ion channels” without the help of Quantum Mechanics. The medical and diagnosis technologies, such as laser and ion-beam therapies, CT radiography, and magnetic resonance imaging (MRI) are based on the advanced detection for the dynamics and state-transition of microscopic particles. So the engineers shall be asked to have theoretical basis how the microscopic properties are expressed. As in the cases of other theories, the appearance of Quantum Mechanics is mathematical and difficult. However, unlike scientific fictions or paranormal phenomena, the behaviors of microscopic particles and materials are physically understandable, surprisingly, so that you are sure to come to the goal. I promise the theoretical basis of Quantum Mechanics shall expand your engineer’s field significantly. |
| Course keywords |
| Wave functions, Schrodinger equation, well-like potentials, harmonic oscillator, tunneling effect, operators, hydrogenic atoms, angular momenta, spin |
| Office hours |
| Not specified. You can come to the office of instructor, but please contact by email beforehand. |
| Remarks 1 |
| Remarks 2 |
| Related URL |
| Lecture Language |
| Japanese |
| Language Subject |
| Last update |
| 9/29/2022 7:49:22 PM |