>> Goals at the Department or Institute level 本系課程除涵蓋一般物理學系應有之重要基礎課程外,並同時兼顧物理理論與應用,高年級課程編排,除表列光電、固態電子等物理專論外,將與校外產業資源結合,以實務技能之學習為目標,期能於在校期間即設計與科技產業接觸機會,拓展科技視野,為就業預作預備,或為升學奠定學術基礎。 |
>> Core abilities | Relationship |
(Space) | (Space) |
>> Course objectives Fundamental principles and applications of quantum mechanics will be instructed in this course. |
>> Course schedule |
Week | Theme or topic | Content | Teaching method |
01 09/17 | Linear algebra | Linear algebra | Lecture, Discussion, Presentation. |
02 09/24 | Orthogonal functions, eigenfunctions, and operators | Orthogonal functions, eigenfunctions, and operators | Lecture, Discussion, Presentation. |
03 10/01 | The electronic problem | The electronic problem | Lecture, Discussion, Presentation. |
04 10/08 | Orbitals, Slater determinants, and basis functions | Orbitals, Slater determinants, and basis functions | Lecture, Discussion, Presentation. |
05 10/15 | Operators and matrix elements | Operators and matrix elements | Lecture, Discussion, Presentation. |
06 10/22 | Second quantization | Second quantization | Lecture, Discussion, Presentation. |
07 10/29 | Spin-adapted configurations | Spin-adapted configurations | Lecture, Discussion, Presentation. |
08 11/05 | Midterm exam | Midterm exam | Practice, Internship, Presentation. |
09 11/12 | The Hartree-Fock equations | The Hartree-Fock equations | Lecture, Discussion, Presentation. |
10 11/19 | Derivation of the Hartree-Fock equations | Derivation of the Hartree-Fock equations | Lecture, Discussion, Presentation. |
11 11/26 | Interpretation of solutions to Hartree-Fock equations | Interpretation of solutions to Hartree-Fock equations | Lecture, Discussion, Presentation. |
12 12/03 | Restricted closed-shell Hartree-Fock: The Roothaan equations | Restricted closed-shell Hartree-Fock: The Roothaan equations | Lecture, Discussion, Presentation. |
13 12/10 | Model calculations on H2 and HeH+ | Model calculations on H2 and HeH+ | Lecture, Discussion, Presentation. |
14 12/17 | Polyatomic basis sets | Polyatomic basis sets | Lecture, Discussion, Presentation. |
15 12/24 | Some illustrative closed-shell calculations | Some illustrative closed-shell calculations | Lecture, Discussion, Presentation. |
16 12/31 | Unrestricted open-shell Hartree-Fock: The Pople-Nesbet equations | Unrestricted open-shell Hartree-Fock: The Pople-Nesbet equations | Lecture, Discussion, Presentation. |
17 01/07 | Review | Review | Lecture, Discussion. |
18 01/14 | Final exam | Final exam | Practice, Internship, Presentation. |
>> Course requirements Quantum Physics and Applied Mathematics |
>> Grading policy Participation in discussion 20% Midterm exam 40% Final exam 40% |
>> Text books and learning resources A. Szabo and N. S. Ostlund, "Modern Quantum Chemistry: Introduction to Advanced Electronic Structure Theory," Dover Publications, 1996. |