### 2016　Exercises in Quantum Mechanics I

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Physics
Instructor(s)
Koga Akihisa  Siino Masaru  Nasu Joji
Course component(s)
Exercise
Day/Period(Room No.)
Mon7-8(H135)  Thr5-6(H135)
Group
a
Course number
ZUB.Q215
Credits
2
2016
Offered quarter
3Q
Syllabus updated
2016/4/27
Lecture notes updated
-
Language used
Japanese
Access Index

### Course description and aims

This is an exercise course corresponding to the lecture course Quantum Mechanics I (ZUB.Q204).
Students will be able to get a better understanding by solving problems.

### Student learning outcomes

Through solving problems, students will be able to:
1) explain the fundamental concepts of the quamtum mechanics such as wave-particle duality and stochastic interpretation.
2) solve the Schoedinger equations for some simple systems.
3) explain the quantum phenomena such as tunnel effects, discretization of physical quantities, and uncertainty principle.

### Keywords

wave-particle duality, wave function, quantum state, Schroedinger equations

### Competencies that will be developed

Intercultural skills Communication skills Specialist skills Critical thinking skills Practical and/or problem-solving skills
- - - -

### Class flow

In every class students will be given some problems and solve them. Solution will be explained in the latter half of the class.

### Course schedule/Required learning

Course schedule Required learning
Class 1 wave-particle duality, photoelectric effect, atom model, Planck constant Prepare and review the problems given in the class.
Class 2 wave function and stochastic interpretation, double slit experiment Prepare and review the problems given in the class.
Class 3 operator, expectation value, eigenfunction Prepare and review the problems given in the class.
Class 4 measurement and uncertainty in quantum mechanics Prepare and review the problems given in the class.
Class 5 wave packet, phase velocity, group velocity Prepare and review the problems given in the class.
Class 6 quantum state, steady state, bracket Prepare and review the problems given in the class.
Class 7 Schoedinger equation Prepare and review the problems given in the class.
Class 8 boundary condition and properties of wave function, confined state Prepare and review the problems given in the class.
Class 9 potential well, particle in a box, zero-point energy Prepare and review the problems given in the class.
Class 10 motion of wave packet, motion of classical particles Prepare and review the problems given in the class.
Class 11 tunnel effect and its related phenomenon, beta-decay Prepare and review the problems given in the class.
Class 12 Bohr-Sommerfeld quantum condition, Gamov's penetration factor) Prepare and review the problems given in the class.
Class 13 harmonic oscillator, raising and lowering operator Prepare and review the problems given in the class.
Class 14 coherent state, light and photon Prepare and review the problems given in the class.
Class 15 macroscopic quantum phenomena, superconductivity Prepare and review the problems given in the class.

Not required.

Not required.

### Assessment criteria and methods

Students’ course scores are based on presentations and reports.

### Related courses

• ZUB.Q204 ： Quantum Mechanics I

### Prerequisites (i.e., required knowledge, skills, courses, etc.)

No prerequisites are necessary, but enrollment in the related lecture is desirable.