ar X iv : 0 70 8 . 24 05 v 1 [ qu an t - ph ] 1 7 A ug 2 00 7 PT - symmetry and Integrability ∗

ar X iv : 0 80 8 . 10 23 v 1 [ qu an t - ph ] 7 A ug 2 00 8 CATEGORICAL QUANTUM MECHANICS

ar X iv : 0 70 8 . 29 64 v 1 [ qu an t - ph ] 2 2 A ug 2 00 7 General multipartite entangled states and complex projective variety

We discuss and investigate the geometrical structure of general multipartite states. In particular, we show that a geometrical measure of entanglement for general multipartite states can be constructed by the complex projective varieties defined by quadratic polynomials.

ar X iv : 0 70 8 . 08 66 v 1 [ qu an t - ph ] 7 A ug 2 00 7 Singular potentials in quantum mechanics and ambiguity in the self - adjoint Hamiltonian ∗

For a class of singular potentials, including the Coulomb potential and V (x) = g/x with the coefficient g in a certain range, the corresponding Schrödinger operator is not automatically self-adjoint on its natural domain. Such operators admit more than one self-adjoint domain, and the spectrum and all physical consequences depend seriously on the selfadjoint version chosen. The talk discusses ...

ar X iv : 0 70 8 . 26 18 v 1 [ as tr o - ph ] 2 0 A ug 2 00 7 Using Local Volume data to constrain Dark Matter dynamics

ar X iv : 0 80 8 . 36 90 v 1 [ qu an t - ph ] 2 7 A ug 2 00 8 Entanglement dynamics of two - qubit system in different types of noisy channels ∗

X iv :0 80 8. 36 90 v1 [ qu an tph ] 2 7 A ug 2 00 8 Entanglement dynamics of two-qubit system in different types of noisy channels ∗ C. J. Shan, J. B. Liu, W. W. Cheng, T. K. Liu, Y. X. Huang, and H. Li College of Physics and Electronic Science, Hubei Normal University, Huangshi 435002, China (Dated: August 27, 2008) Abstract In this paper, we study entanglement dynamics of a two-qubit extende...