Fermionic reflection matrices

Reflection K-Matrices

Fermionic Casimir effect in case of Andreev reflection

– We describe the Fermionic Casimir effect in the case of two spherical superfluid scatterers immersed in a normal Fermi system. It is shown that due to the focusing property of Andreev reflection this new Casimir-like energy is significantly enhanced when compared to the case of normal scatterers with specular reflection. Introduction. – If two or more voids (or hard-wall scatterers) are forme...

Fusion of SO(N) reflection matrices

We examine the reflection matrix acting on the SO(N) vector multiplet and fuse it to obtain that acting on the rank two particle multiplet, and give its decomposition.

n and A (2) 2n reflection K-matrices

Alternating sign matrices with one -1 under vertical reflection

We define a bijection that transforms an alternating sign matrix A with one −1 into a pair (N,E) where N is a (so called) neutral alternating sign matrix (with one −1) and E is an integer. The bijection preserves the classical parameters of Mills, Robbins and Rumsey as well as three new parameters (including E). It translates vertical reflection of A into vertical reflection of N . A hidden sym...