Download Subject Group of Applied Physics

Subject Group of Applied Physics
3802
Advanced Quantum Theory
Summer
Description and rationale: The aim of this course is to provide some fundamental knowledge and practical tools
in quantum theory in order to explain various interesting phenomena reflecting the nature of the electron as a
wave, or not as a particle. Only a few assumptions on each problem setup lead to a variety of quantum
interference physics, for example, electronic states confined in low-dimensional systems, quantum transport,
optical transitions in atoms, molecules, and condensed matter systems, where all we have to do is purely
mathematical derivation. This course is given mainly for students majoring in theoretical condensed matter
physics, while it is also useful for students concerning experimental physics who are willing to acquire theoretical
methods in order to obtain clear explanations on their own results.
Keywords: quantization, wave function, bound state, scattering problem, Green function, symmetry, quantum
interference, many-body problem, elementary excitation, quantum correlation
Pre-requisite: Classical mechanics, elementary quantum mechanics, and applied mathematics including Fourier
analysis, partial differential equations variational principle, and matrix theory.
Expected students: master
Instructor: Dr. Hidekatsu SUZUURA ([email protected])
Course Outline:
1. Lagrange and Hamilton equations
2. Canonical quantization
3. Schrödinger equation
4. Bound state
5. Continuum state
6. Scattering problem
7. Path integral
8. Symmetry
9. Many-body state
10. Quantum correlation
Grading: Final examination (50%) and assignments (50%)
Textbooks and references: No text covering all topics in this course.
References for several topics are shown below:
Topics in advanced quantum mechanics: B. R. Holstein (Addison-Wesley 1992).
Advanced quantum mechanics: F. Schwable (4th Edition, Springer 2008).
Condensed matter field theory: A. Altland and B. Simons (Cambridge 2006).
9/2009