Exact results for corner filling on a quadratic lattice

Some Exact Results for Quantum Lattice Problems

Physics is increasingly moving towards nano-scale technology, and with this comes the need to understand small lattices or quasi-lattices supporting a small number of quanta. Often this gives the quantum equivalent of a classical breather, though with some interesting differences. In this short paper we review some work on quantum lattice problems, concentrating mainly on the quantum discrete n...

Aperiodic Ising model on the Bethe lattice: exact results.

We consider the Ising model on the Bethe lattice with aperiodic modulation of the couplings, which has been studied numerically in Phys. Rev. E 77, 041113 (2008). Here we present a relevance-irrelevance criterion and solve the critical behavior exactly for marginal aperiodic sequences. We present analytical formulas for the continuously varying critical exponents and discuss a relationship with...

global results on some nonlinear partial differential equations for direct and inverse problems

در این رساله به بررسی رفتار جواب های رده ای از معادلات دیفرانسیل با مشتقات جزیی در دامنه های کراندار می پردازیم . این معادلات به فرم نیم-خطی و غیر خطی برای مسایل مستقیم و معکوس مورد مطالعه قرار می گیرند . به ویژه، تاثیر شرایط مختلف فیزیکی را در مساله، نظیر وجود موانع و منابع، پراکندگی و چسبندگی در معادلات موج و گرما بررسی می کنیم و به دنبال شرایطی می گردیم که متضمن وجود سراسری یا عدم وجود سراسر...

Exact Supersymmetry on the Lattice

We discuss the possibility of representing supersymmetry exactly in a lattice discretized system. In particular, we construct a perfect supersymmetric action for the Wess-Zumino model.

Exact solutions for the flow of a generalized second grade due to a Longitudinal quadratic time-dependent shear stress