ar X iv : m at h - ph / 0 00 50 19 v 1 1 6 M ay 2 00 0 2 and 3 - dimensional Hamiltonians with Shape Invariance Symmetry

ar X iv : m at h - ph / 0 10 50 19 v 1 1 5 M ay 2 00 1 Extension of a Spectral Bounding Method to Complex Rotated Hamiltonians , with Application to p 2 −

We show that a recently developed method for generating bounds for the discrete energy states of the non-hermitian −ix3 potential (Handy 2001) is applicable to complex rotated versions of the Hamiltonian. This has important implications for extension of the method in the analysis of resonant states, Regge poles, and general bound states in the complex plane (Bender and Boettcher (1998)).

ar X iv : 0 80 5 . 24 44 v 1 [ m at h . A G ] 1 6 M ay 2 00 8 Symmetry and holomorphy of the second member of the second Painlevé hierarchy

We study symmetry and holomorphy of the second member of the second Painlevé hierarchy P (2) II .

ar X iv : h ep - p h / 04 02 19 0 v 2 2 6 M ay 2 00 4 1 Pentaquarks in the 10 F - and 10 F - plets

ar X iv : 0 90 5 . 09 74 v 1 [ m at h - ph ] 7 M ay 2 00 9 Symmetries and resonance sets for δ ′ - interactions July 20 , 2009

The symmetry properties of the family of δ ′-interactions with a resonant non-zero transparency resulting in non-separated states are discussed. It is shown that the connection matrix for these physically motivated interactions and the corresponding family of self-adjoint extensions can be constructed in a self-consistent way if the product δ ′ (x)ψ(x), where ψ(x) is a discontinuous wavefunctio...

ar X iv : m at h - ph / 0 50 10 64 v 4 1 7 M ay 2 00 5 Hidden Consequence of Active Local Lorentz Invariance ∗

In this paper we investigate a hidden consequence of the hypothesis that Lagrangians and field equations must be invariant under active local Lorentz transformations. We show that this hypothesis implies in an equivalence between spacetime structures with several curvature and torsion possibilities.