We study the relationship between the spectral shift function and the excess charge in potential scattering theory. Although these quantities are closely related to each other, they have been often formulated in different settings so far. Here, we...
We study stationary states for the nonlinear Schrodinger equation on Fibonacci lattices, which are expected to be realized by Bose-Einstein condensates loaded into an optical lattice. When the model does not have a nonlinear term, the wavefunction...
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 44(29) 295001(22pp) Jul 2011
We study the topology of frustration in d-dimensional Ising spin glasses with d >= 2 with nearest-neighbor interactions. We prove the following. For any given spin configuration, the domain walls on the unfrustration network are all transverse ...
We study lattice SU(2) Yang-Mills theory with dimension d >= 4. The model can be expressed as a (d - 1)-dimensional O(4) nonlinear sigma model in a d-dimensional heat bath. As is well known, the nonlinear sigma model alone shows a phase transit...
JOURNAL OF MATHEMATICAL PHYSICS 48(2) 023303(14 pages) Feb 2007
We consider many-body systems with a global U(1) symmetry on a class of lattices with the (fractal) dimension D < 2 and their zero temperature correlations whose observables behave as a vector under the U(1) rotation. For a wide class of the mo...
Graduate School of Humanities