2016 Light and Matter II

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Academic unit or major
Graduate major in Physics
Kanamori Hideto 
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Course description and aims

In this course the instructor will explain the quantum theory of angular momentum through the easily measured experimental result known as optical spectrums of molecules.
1) Students will gain a unified understanding from the perspective of angular momentum of the freedom of motion that molecules have as small multibody systems composed of multiple nuclei and electrons.
2) Therefore we will deal with the angular momentum of electrons, oscillations, rotations, electron spin, and nuclear spin, as well as their modes of binding, with quantum theory.
3) After first covering the basic topics of electron, oscillation, and rotation state for simple, two atom molecules, we will then cover the eigenstate split into microstructure and hyperfine structure, which is found in results of innermolecular interactions including electron spin and nuclear spin.
4) The instructor will show an example of a physics experiment that can only be implemented through the interaction between a single quantum state specified up to the nuclear spin quantum number, and coherent electromagnetic waves.

Student learning outcomes

At the end of this course, students will be able to:
1) master the quantum theory of angular momentum including orbital electron, rotation, electron spin and nuclear spin.
2) master the interaction among those angular momenta, and understand the Eigen state and Eigen value of molecular states.
3) explain the electronic, vibrational and rotational spectra with fine and hyperfine structure as the result of the interaction with UV, IR and MW radiation.
4) understand how a single quantum molecular state can be used for the study of fundamental physics.


molecular bond, Born-Oppenheimer approximation, molecular orbital, electronic excited state, electron configuration, UV, IR, MW, fine structure, hyperfine structure

Competencies that will be developed

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

A lecture note with several blanks is provided during class. Instead of black board, explanations are directly written on screen by a pen tablet computer. Hearing the explanation, students fill in the blanks and complete the lecture note.

Course schedule/Required learning

  Course schedule Required learning
Class 1 Electronic, vibrational, and rotational state of a diatomic molecule with single electron system Explain the Hamiltonian and its Eigen state of H2 ion, Explain the origin of molecular bond
Class 2 Electronic states of a diatomic molecule with many electron system Describe the electron configuration and its spectral term of O2 molecule.
Class 3 Interaction of electromagnetic wave and a diatomic molecule Transition moment and selection rules of electronic, vibrational, rotational transitions
Class 4 Spectroscopy of diatomic molecules Explain the information obtained from UV, IR and MW spectra
Class 5 Theory of diatomic molecules with electron spin Interaction related to electron spins and fine structure as a result
Class 6 Theory of angular momentum of diatomic molecules with electronic spin Classify the coupling scheme of angular momentum vectors according to Hunt
Class 7 Interaction related to nuclear spin and quantum statistics Understand the origin of hyperfine structure and nuclear spin weight.
Class 8 Fundamental physics using high-precision spectroscopic measurement of molecules What can we do with a nuclear spin separated single quantum state?


Lecture note is prepared during class.

Reference books, course materials, etc.

Spectra of Atoms and Molecules; Bernath (Oxford)    Molecular Quantum Mechanics; Atkins and Friedman (Oxford) 

Assessment criteria and methods

short reports during class and final exams

Related courses

  • PHY.C446 : Light and Matter I
  • PHY.C448 : Light and Matter III
  • PHY.C449 : Laser Physics

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


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