Quantum Theory for Electronics

Numbering Code G-ENG11 5C825 LJ72 Year/Term 2021 ・ First semester
Number of Credits 2 Course Type Lecture
Target Year Target Student
Language Japanese Day/Period Tue.3
Instructor name KAKEYA ITSUHIRO (Graduate School of Engineering Associate Professor)
Outline and Purpose of the Course Based on the fundamental understanding of quantum mechanics, we start with hydrogen atom of 1 atom and 1 hydrogen atom, hydrogen molecule ion of 2 atom electrons, hydrogen molecule of 2 atom 2 electrons, 1 electron Lecture on how to calculate the electronic state when increasing the number from the next step. We will also talk about molecular models consisting of a plurality of atoms. In order to understand fundamental handling in the case of multi electron system, consider Coulomb interaction, spin orbit interaction, as an interaction received by electrons. Simultaneously, we give an approximate calculation method necessary for these calculations.
Course Goals Based on the fundamental understanding of quantum mechanics, we acquire knowledge and thinking to the extent that approximate calculation can be performed on a simple problem. In addition, we will acquire academic ability to read only specialized books such as solid state electronics based on quantum theory.
Schedule and Contents Review and supplement of quantum mechanics (1 time)
Review the quantum mechanics learned at undergraduate and repair notation method to learn from now.

Approximation method (2 times)
Perturbation method, perturbation method when degenerate, time dependent perturbation method, variational method, learn while solving exercises. The approximation method learned here becomes the basis of the calculation concerning the contents of the subsequent lecture.

Combined with angular momentum (2 times)
We describe the angular momentum necessary for understanding the electronic level and its composition.

Spin orbit interaction (1 time)
Understanding the spin orbit interaction is essential for understanding the details of the electronic level of multiple electron atoms and the electronic level in solids. Here, I will give lectures and descriptions of spin orbit interactions and explain quantitative handling methods. Explain calculation by perturbation method and calculation by diagonal method.

Multiplet (1 time)
I will give a lecture on the electronic level of multiple electron atoms. In particular, we will clarify the origin of microstructure and understand how electron level is split by Coulomb interaction, spin orbit interaction, its magnitude and number of divisions. In addition, we describe empirical Hunt 's law concerning the ground state of such multi - electron atoms.

Zeeman effect (2 times)
The shift of the electronic level in the magnetic field or Zeeman splitting will be explained by calculation by the perturbation method. Abnormal Zeeman effect when the magnetic field is weak, normal Zeeman effect, Paschen back effect in case of strong, handling of spin orbit interaction will be discussed.

Hartree-Fock equation (2 times)
We describe the calculation of electronic levels of multi-electron atoms about the Hartley method, the Hartley-Fock method, and the Hartree-Fock-Slater method by mean field self-consistent method.

Molecular model (2 times)
In the case of bimolecular molecules, we will explain the valence bonding method and the molecular orbital method, and explain the hydrogen level, the electronic level of hydrogen molecule, that is, the binding energy and the bonding distance. Also, we will talk about the type of molecular bond and hybrid trajectory.

Crystal field and magnetism (2 times)
The electron orbit of the atom in the crystal will be explained from the crystal electric field. In addition, we introduce Heisenberg's effective Hamiltonian and outline the paramagnetism and electronic correlation of the substance.
Evaluation Methods and Policy Examination and report
Course Requirements Basics of quantum mechanics (Schrodinger equation, one dimensional potential problem, concept of expectation, etc.)
Study outside of Class (preparation and review) Please do exercises voluntarily
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