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We find that in | λ 〉 representation, |λ〉= exp − |λ| 2 2 −iλΠ + +λ ∗ K + +iΠ + K + |00〉 , the Hamiltonian H=(Π + Π − + 1 2 )Ω of an electron in uniform magnetic field displays its differential operation form naturally and directly, and the Landau state with definite energy...
A critical phenomenon takes place in the extremal limit of a Kerr–Newman black hole, and several scaling laws hold among the critical exponents. When combined with the knowledge about the divergence of correlation length, the scaling laws predict that the effective spatial dimension of a black...
Using a description of defect in solids in terms of three-dimensional gravity, we determine the eletrostatic self-force acting on a point teste charge and a linear source in the presence of a screw dislocation.
The ferromagnetic Ising model on a Cayley tree of coordination z ( z=3 , 4 and 5), is investigated through the damage-spreading technique, within the heat-bath dynamics. Two distinct regimes are found, depending on the temperature: a low-temperature one, for which the initial damage may...
The results of the experimental investigation of the behaviour of micron-sized dust particles in plasma of an inductive RF discharge are presented. The discharge was initiated in different inert gases at a frequency of 100 MHz. The formation of ordered filamentary structures from monodisperse...
The advection of electron density is shown to lead to supercritical nonlinear instability in collisionless plasmas by driving a damped linear eigenmode to finite amplitude. A novel analysis technique yields a complete description of the nonlinear state, including the nonlinear eigenmode and...
We discuss the behavior of rotating and traveling waves – such as traveling fronts and pulses – in partial differential equations with continuous symmetry groups under perturbations that break the continuous symmetries but preserve some discrete (lattice) symmetries. Our theory provides a...
A systematic method to calculate the low energy spectrum of SU (2) Yang–Mills quantum mechanics with high precision is given and applied to obtain the energy of the groundstate and the first few excited states. The electric and magnetic properties of the groundstate obtained are discussed and...
The transport of an underdamped Brownian particle moving in a one-dimensional ratchet driven by a modulated Gaussian white noise is considered. The system experiences periodically higher temperature T 1 during a time τ 1 and lower temperature T 2 during a time τ 2 . Both the average current and...
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