13,508 research outputs found
New criteria for self-adjointness and its application to Dirac-Maxwell Hamiltonian
We present a new theorem concerning a sufficient condition for a symmetric
operator acting in a complex Hilbert space to be essentially self-adjoint. By
applying the theorem, we prove that the Dirac Maxwell Hamiltonian, which
describes a quantum system of a Dirac particle and a radiation field minimally
interacting with each other, is essentially self-adjoint. Our theorem covers
the case where the Dirac particle is in the Coulomb type potential.Comment: 10 page
Finsler geometry modeling of phase separation in multi-component membranes
Finsler geometric surface model is studied as a coarse-grained model for
membranes of three-component such as DOPC, DPPC and Cholesterol. To understand
the phase separation of liquid ordered (DPPC rich) and the liquid
disordered (DOPC rich) , we introduce a variable
in the triangulated surface model. We numerically find that there appear two
circulars and stripe domains on the surface and that these two morphologies are
separated by a phase transition. The morphological change from the one to the
other with respect to the variation of the area fraction of is consistent
with existing experimental results. This gives us a clear understanding of the
origin of the line tension energy, which has been used to understand those
morphological changes in the three-component membranes. In addition to these
two circulars and stripe domains, raft-like domain and budding domain are also
observed, and the corresponding several phase diagrams are obtained. Technical
details of the Finsler geometry modeling are also shown.Comment: 18 pages, 11 figure
Numerical calculation of tensile test using a dumbbell-shaped in thickness direction specimen
This study is the product of a tensile test of a uniaxial tensile specimen having a thinner test section than parallel section, which is a tensile test piece with a dumbbell shape in the thickness direction, fabricated by means of cutting as a preliminary experiment and an evaluation of the mechanical properties of the tensile specimen. In the tensile test, we compared the tensile properties of the dumbbell-shaped in thickness direction tensile specimen with those of conventional tensile specimens. In addition, we analyzed the states of stress and strain in the tensile specimens during a tensile test by using the finite element method
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