# Syllabus 2018

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[C] Advanced Engineering Course Program >
Quantum Theory of Molecular Physics

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## Course Title : Quantum Theory of Molecular Physics

Code | 10B617 |
---|---|

Course Year | Master and Doctor Course |

Term | 2nd term |

Class day & Period | Mon 2nd |

Location | C3-Lecture Room 2 |

Credits | 2 |

Restriction | No Restriction |

Lecture Form(s) | Lecture |

Language | Japanese |

Instructor | Senami, Junior associate professor (Lecturer) |

### Course Description

Basics for the application of quantum theory to molecular physics and recent progress. Main topics: analytic mechanics, relativistic quantum mechanics, quantum field theory, and path integral.

### Grading

Homework paper instructed in class

### Course Goals

### Course Topics

Theme | Class number of times | Description |
---|---|---|

1. Analytic mechanics and symmetry in physics | 2 | Principle of least action, Equation of motion, Hamiltonian mechanics, Symmetry and conservation law in physics, Noether's theorem, Group theory |

2. Classical relativistic theory | 2 | Invariance of the speed of light, Lorentz transformation, Relativistic form of electromagnetism, Four component vector potential |

3. Relativistic quantum mechanics | 4-6 | Relativistic equation of motion, Nonrelativistic limit of Dirac equation, Covariance of Dirac equation, Plane wave solution for Dirac equation and negative energy, Hole theory and problem, Tani-Foldy-Wouthuysen transformation, Chrality |

4. A primer of quantum field theory | 2-4 | Field operator, Charge conjugation, Noether's theorem, Gauge transformation and gauge symmetry, Application of quantum field theory to theoretical study of molecules and condensed matter |

5. Electronic Structure Computation | 2 | Time evolution and propagator, Transition amplitude and path integral, Aharonov-Bohm effect, Path integral in quantum field theory |

Confirmation | 1 |

### Textbook

### Textbook(supplemental)

J. D. Bjorken, S. D. Drell, Relativistic Quantum Mechanics

J. J. Sakurai, Modern Quantum Mechanics, and Advanced Quantum Mechanics

R. P. Feynmann, A. R. Hibbs, Quantum Mechanics and Path Integrals

### Prerequisite(s)

Quantum Mechanics

### Independent Study Outside of Class

### Web Sites

### Additional Information

If English support is required, please contact the instructor by email. Then words written on a blackboard and some supplementary documents are provided in English.