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17 papers · 1 filter
Realization of a Four Parameter Family of Generalized One-Dimensional Contact Interactions by Three Nearby Delta Potentials with Renormalized Strengths
T. Shigehara, H. Mizoguchi, T. Mishima +1
We propose a new method to construct a four parameter family of quantum-mechanical point interactions in one dimension, which is known as all possible self-adjoint extensions of th…
Equivalence of Local and Separable Realizations of the Discontinuity-Inducing Contact Interaction and Its Perturbative Renormalizability
Taksu Cheon, T. Shigehara, K. Takayanagi
We prove that the separable and local approximations of the discontinuity-inducing zero-range interaction in one-dimensional quantum mechanics are equivalent. We further show that…
Supersymmetry in the AdS/CFT Correspondence
M. Nishimura, Y. Tanii
We study how local symmetry transformations of (p, q) anti de Sitter supergravities in three dimensions act on fields on the two-dimensional boundary. The boundary transformation l…
Some Aspects of Generalized Contact Interaction in One-Dimensional Quantum Mechanics
Taksu Cheon, T. Shigehara
We construct a one-dimensional contact interaction ( potential) which induces the discontinuity of the wave function while keeping its derivative continuous. By combining the $ε…
Magnetization Plateaus in One Dimensional Heisenberg Model with Dimerization and Quadrumerization
Wei Chen, Kazuo Hida, Hiroki Nakano
The one dimensional Heisenberg model with dimerization () and quadrumerization () in the magnetic field is studied by means of the numerical exact diagonalization o…
Duality Symmetries in Non-Linear Gauge Theories
M. Araki, Y. Tanii
Duality symmetries are discussed for non-linear gauge theories of (n-1)-th rank antisymmetric tensor fields in general even dimensions d=2n. When there are M field strengths and no…