3,629 research outputs found
Classical quasi-trigonometric matrices of Cremmer-Gervais type and their quantization
We propose a method of quantization of certain Lie bialgebra structures on
the polynomial Lie algebras related to quasi-trigonometric solutions of the
classical Yang-Baxter equation. The method is based on so-called affinization
of certain seaweed algebras and their quantum analogues.Comment: 9 pages, LaTe
SUSY transformations with complex factorization constants. Application to spectral singularities
Supersymmetric (SUSY) transformation operators corresponding to complex
factorization constants are analyzed as operators acting in the Hilbert space
of functions square integrable on the positive semiaxis. Obtained results are
applied to Hamiltonians possessing spectral singularities which are
non-Hermitian SUSY partners of selfadjoint operators. A new regularization
procedure for the resolution of the identity operator in terms of continuous
biorthonormal set of the non-Hermitian Hamiltonian eigenfunctions is proposed.
It is also shown that the continuous spectrum eigenfunction has zero binorm (in
the sense of distributions) at the singular point.Comment: Thanks to A. Sokolov a number of inaccuracies are correcte
Electromagnetic form factors of the (rho) meson in light cone QCD sum rules
We investigate the electromagnetic form factors of the (rho) meson in light
cone QCD sum rules. We find that the ratio of the magnetic and charge form
factors is larger than two at all values of Q^2, (Q^2 >= 0.5 GeV^2). The values
of the individual form factors at fixed values of Q^2 predicted by the light
cone QCD sum rules are quite different compared to the results of other
approaches. These results can be checked in future, when more precise data on
(rho) meson form factors is available.Comment: 12 pages, 6 figures, LaTeX formatte
Eigenphase preserving two-channel SUSY transformations
We propose a new kind of supersymmetric (SUSY) transformation in the case of
the two-channel scattering problem with equal thresholds, for partial waves of
the same parity. This two-fold transformation is based on two imaginary
factorization energies with opposite signs and with mutually conjugated
factorization solutions. We call it an eigenphase preserving SUSY
transformation as it relates two Hamiltonians, the scattering matrices of which
have identical eigenphase shifts. In contrast to known phase-equivalent
transformations, the mixing parameter is modified by the eigenphase preserving
transformation.Comment: 16 pages, 1 figur
Modeling elastic properties of polystyrene through coarse-grained molecular dynamics simulations
This paper presents an extended coarse-grained investigation of the elastic
properties of polystyrene. In particular, we employ the well-known MARTINI
force field and its modifications to perform extended molecular dynamics
simulations at the s timescale, which take slow relaxation processes of
polystyrene into account, such that the simulations permit analyzing the bulk
modulus, the shear modulus, and the Poisson ratio. We show that through the
iterative modification of MARTINI force field parameters it turns out to be
possible to affect the shear modulus and the bulk modulus of the system, making
them closer to those values reported in the experiment.Comment: 29 pages, 8 figure
- …