Course title
2M770000
Modern Quantum Mechanics

 nakamura tota
Course content
In this lecture, students learn quantum mechanics from the very basic formulation. What is the quantum mechanical state? What is the operator and observables? The lecture starts with such basic questions and the goal is to apply the theory to the condensed matter physics.
Purpose of class
To understand the basis of quantum mechanics through the linear algebra.
To understand the quantum mechanics from the experimental perspectives.
To solve the Schroedinger equation for well-potential, hydrogen atom.
Goals and objectives
  1. Students must understand and explain what is the quantum mechanical state, what is the operator, commutation relations, and measurements.
  2. Students must solve the Schroedinger equation on the potential well and must calculate various physical quantities. They also must solve the harmonic potential problems.
  3. Students must explain and do calculations on the approximation theory in the quantum mechanics, such as the perturbation theory and variational theory.
Language
Japanese
Class schedule

 Class schedule HW assignments (Including preparation and review of the class.) Amount of Time Required
1． Stern-Gerlach experiments, quantum mechanical states, brackets, matrix representations Finish writing a report on given problems 45minutes
2． Measurements, observables, the uncertaingy relations, change of basis Finish writing a report on given problems 45minutes
3． Position, momemtum, and the operators Finish writing a report on given problems 45minutes
4． Dirac's delta functions Finish writing a report on given problems 45minutes
5． Derivation of the Schroedinger equation Finish writing a report on given problems 45minutes
6． How to solve the Schroedinger equation on the potential well Finish writing a report on given problems 45minutes
7． Parity and the boundary conditions Finish writing a report on given problems 45minutes
8． Problems on the hydrogen atom Finish writing a report on given problems 45minutes
9． Momentum operator Finish writing a report on given problems 45minutes
10． Angular momentum operator Finish writing a report on given problems 45minutes
11． Eigenvalue of the angular-momentum operator Finish writing a report on given problems 45minutes
12． Harmonic oscillator and the zero-point oscillation Finish writing a report on given problems 45minutes
13． Perturbation theory Finish writing a report on given problems 45minutes
14． Variational theory Finish writing a report on given problems 45minutes
Total. - - 630minutes
Relationship between 'Goals and Objectives' and 'Course Outcomes'

 Report Total.
1. 30% 30%
2. 30% 30%
3. 40% 40%
Total. 100% -
Evaluation method and criteria
Report on the problems
Textbooks and reference materials
Modern Quantum Mechanics (J. J. Sakurai)
Prerequisites
Very familiar with the linear algebra. (degree required)
Very familiar with the Fourier transforms.
Very familiar with the classical mechanics. (degree required)
Office hours and How to contact professors for questions
  • lunch break on Tuesday
    please contact before visiting
Relation to the environment
Non-environment-related course
Regionally-oriented
Non-regionally-oriented course
Development of social and professional independence
  • Course that cultivates an ability for utilizing knowledge
Active-learning course
About half of the classes are interactive
Last modified : Wed Oct 17 07:41:09 JST 2018