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12 papers · 1 filter
Ruled 4-manifolds and isotopies of symplectic surfaces
R. Hind, A. Ivrii
We study symplectic surfaces in ruled symplectic 4-manifolds which are disjoint from a given symplectic section. As a consequence we see that, in any symplectic 4-manifold, two hom…
Minimal Bell-Kochen-Specker proofs with POVMs on qubits
A. A. Methot
There are many different definitions of what a Bell-Kochen-Specker proof with POVMs might be. Here we present and discuss the minimal proof on qubits for three of these definitions…
Graded contractions of the Pauli graded sl(3,C)
J. Hrivnak, P. Novotny, J. Patera +1
The Lie algebra $sl(3,\C)$ is considered in the basis of generalized Pauli matrices. Corresponding grading is the Pauli grading here. It is one of the four gradings of the algebra…
Estimates from below for the spectral function and for the remainder in local Weyl's law
Dmitry Jakobson, Iosif Polterovich
We obtain asymptotic lower bounds for the spectral function of the Laplacian and for the remainder in local Weyl's law on manifolds. In the negatively curved case, thermodynamic fo…
sh(2/2) Superalgebra eigenstates and generalized supercoherent and supersqueezed states
Nibaldo Alvarez-Moraga, Veronique Hussin
The superalgebra eigenstates (SAES) concept is introduced and then applied to find the SAES associated to the superalgebra, also known as Heisenberg--Weyl Lie superalgebr…
Emergence of Long Period Antiferromagnetic Orders from Haldane Phase in S=1 Heisenberg Chains with D-Modulation
Kazuo Hida, Wei Chen
The effect of spatial modulation of the single-site anisotropy D on the ground state of the S=1 Heisenberg chains is investigated. In the case of period 2 modulation, it is found t…