2023 Introduction to Quantum Mechanics(Exercise) B

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Academic unit or major
Undergraduate major in Physics
Fujimoto Kazuya  Siino Masaru  Nishida Yusuke 
Class Format
Exercise    (Face-to-face)
Media-enhanced courses
Day/Period(Room No.)
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Offered quarter
Syllabus updated
Lecture notes updated
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Course description and aims

This course is complementary to the lecture course. After passing this course, the students will be able to account for the basic theory in quantum mechanics such as wave functions, operators and Schoredinger equation, and further be able to apply the theory by solving exercise problems.

Student learning outcomes

The students will be able to solve basics problems of quantum mechanics such as particle-in-a-box and harmonic oscillators.


Schrodinger equation, operators, wave equation

Competencies that will be developed

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

Class flow

Presentation and reports are required.

Course schedule/Required learning

  Course schedule Required learning
Class 1 Introduction To review mathematical formulae.
Class 2 Old quantum theory To understand Planck's radiation law, Compton effect and Bohr's atomic model.
Class 3 Hermitian operatoes To understand the properties of hermitian operators and canonical commutation relations.
Class 4 Particle-in-a-box problems (part 1) To solve Schroedinger equation for a particle in one-dimensional potential well.
Class 5 Particle-in-a-box problems (part 2) To solve Schroedinger equation for a particle in one-dimensional potential well.
Class 6 Tunnel effect To solve problems of multiple potential wells by connecting wave functions and further to understand tunnel effect.
Class 7 Harmonic oscillators To solve Schroedinger equation for one-dimensional harmonic oscillators.

Out-of-Class Study Time (Preparation and Review)

To enhance effective learning, students are encouraged to spend approximately 100 minutes preparing for class and another 100 minutes reviewing class content afterwards (including assignments) for each class.
They should do so by referring to textbooks and other course material.


Same as those used in Introduction to Quantum Mechanics (or, Quantum Mechanics 1)

Reference books, course materials, etc.

L.I. Schiff, "Quantum Mechanics" McGraw-Hill College.

Assessment criteria and methods

Evaluated based on presentations and reports.

Related courses

  • PHY.Q207 : Introduction to Quantum Mechanics
  • ZUB.Q204 : Quantum Mechanics I

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


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