Creative Science and EngineeringⅠ FeaturesⅡ History and ProfileⅢ RequirementsAdvanced Science and EngineeringFundamental Science and EngineeringCONTENTSResearch on important issues of modern physics and their technological applications is conducted in the Department of Pure and Applied Physics. There are a broad range of research fields such as mathematical physics, elementary particle physics, nuclear physics, cosmic-ray physics, astrophysics, nuclear engineering, condensed matter physics, polymer physics, biophysics, applied crystallography, optics, measurement engineering, control engineering, and information engineering. Interdisciplinary research is also being conducted. It is assumed that students studying in this department acquired academic knowledge equivalent to that of graduates of the Department of Physics or the Department of Applied Physics of undergraduate programs.Research is conducted on mathematical problems that occur in physics, engineering, biology, etc. mainly by using methods of analysis, geometry, etc. In particular, the basic knowledge of functional analysis, the theory of evolution equation, the theory of nonlinear partial differential equation, the theory of real function and the variational method is important and basic knowledge of physics is also necessary. There are a variety of nonlinear phenomena to be studied. As far as the nonlinear partial differential equations are concerned, there are parabolic equations (Navier-Stokes equation, nonlinear heat equation), hyperbolic equations (nonlinear Klein-Gordon equation, compressible fluid equation), dispersion equations (KdV equation, nonlinear Schroedinger equation), a nonlinear elliptic equation which describes the steady state of the above-mentioned equations, and mixed equations as complex simultaneous equations of the above-mentioned equations (Zakharov equation, Davey-Stewartson equation), etc. The typical research themes of these equations are the existence, nonexistence, uniqueness, multiplicity, regularity, analyticity, specificity, symmetry, periodicity, almost periodicity, asymptotic behavior, stability, etc. of solutions.◆ Theoretical Nuclear and Particle PhysicsIn this research area, theoretical studies on nuclei and elementary particles in a broad sense are conducted. In the former, the main course is the theoretical study of nuclear structure and its application to astrophysics. In the study of nuclear structure, emphasis is placed on the study of infinitely-large hypothetical nuclei using quantum-mechanical many-body techniques. In relation to the above, structures of hot and cold neutron stars are also studied. In the latter, theoretical research on elementary particle physics is conducted. In relation to this course, phenomenological analyses of the standard model of elementary particles and models beyond the standard model, theoretical studies on unified models of elementary particles including gravity and supersymmetry are incorporated. Studies on fundamental issues of quantum theory related to such topics as quantum coherence/decoherence and quantum dynamics, as well as field quantization method itself, are also conducted.Summary of Each Research Area◆ Mathematical Physics111111Department of Pure and Applied Physics
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