670 research outputs found
Replica treatment of non-Hermitian disordered Hamiltonians
We employ the fermionic and bosonic replicated nonlinear sigma models to
treat Ginibre unitary, symplectic, and orthogonal ensembles of non-Hermitian
random matrix Hamiltonians. Using saddle point approach combined with Borel
resummation procedure we derive the exact large-N results for microscopic
density of states in all three ensembles. We also obtain tails of the density
of states as well the two-point function for the unitary ensemble.Comment: REVTeX 3.1, 13 pages, 1 figure; typos fixed (v2
A quantum-mechanical perspective on linear response theory within polarizable embedding
The derivation of linear response theory within polarizable embedding is
carried out from a rigorous quantum-mechanical treatment of a composite system.
Two different subsystem decompositions (symmetric and nonsymmetric) of the
linear response function are presented, and the pole structures as well as
residues of the individual terms are analyzed and discussed. This theoretical
analysis clarifies which form of the response function to use in polarizable
embedding, and we highlight complications in separating out subsystem
contributions to molecular properties. For example, based on the nonsymmetric
decomposition of the complex linear response function, we derive conservation
laws for integrated absorption cross sections, providing a solid basis for
proper calculations of the intersubsystem intensity borrowing inherent to
coupled subsystems and how that can lead to negative subsystem intensities. We
finally identify steps and approximations required to achieve the transition
from a quantum-mechanical description of the composite system to polarizable
embedding with a classical treatment of the environment, thus providing a
thorough justification for the descriptions used in polarizable embedding
models
The Nonsymmetric Kaluza-Klein(Jordan-Thiry) Theory.A path to a Unified Field Theory
In the paper we consider the Nonsymmetric Kaluza-Klein(Jordan-Thiry) Theory
and hierarchy of a symmetry breaking within Grand Unified Theories.In this way
we try to construct Unified Field Theory.We conside alsoa quintessence and
skewon fields as possible Dark Matter particles.Both particles are massive with
zero and one spin.It means with scalar and pseudovector particles.They are
interacting only gravitationally..They are really apart of gravity.In this way
they are geometrized.We find anatural to get a cosmological constant(Dark
Energy) and the fith force. We consider also an effective gravitational"
constant" Geff and a test particles movement in the theory.We consider also a
tower of scalar (massive) fields as additional Dark Matter derived in the
paper.Comment: TeX, 146 pages ,no figures,some corrections and extension
The energyâmomentum method for the stability of non-holonomic systems
In this paper we analyze the stability of relative equilibria of nonholonomic systems (that is, mechanical systems with nonintegrable constraints such as rolling constraints). In the absence of external dissipation, such systems conserve energy, but nonetheless can exhibit
both neutrally stable and asymptotically stable, as well as linearly unstable relative equilibria. To carry out the stability analysis, we use a generalization of the energy-momentum method combined with the Lyapunov-Malkin theorem and the center manifold theorem. While this approach is consistent with the energy-momentum method for
holonomic systems, it extends it in substantial ways. The theory is illustrated with several examples, including the the rolling disk, the roller racer, and the rattleback top
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