The relativistic spinning particle model, recently proposed by Staruszkiewicz, is analyzed in a Hamiltonian framework. The model is heavily constrained and constraint analysis, in the Dirac scheme, is both novel and instructive. Our major finding is an associated noncommutative spacetime the structure of which is completely new. We have shown that this non-commutative phase space algebra is ess...

We consider gravitational wave modes in the FRW metrics in a de Sitter phase and show that the state space splits into many unitarily inequivalent representations of the canonical commutation relations. Non-unitary time evolution is described as a trajectory in the space of the representations. The generator of time evolution is related to the entropy operator. The thermo-dynamic arrow of time ...

KATIE is a parton-level event generator for hadron scattering processes that can deal with partonic initial-state momenta with an explicit transverse momentum dependence causing them to be space-like. Provided with the necessary transverse momentum dependent parton density functions, it calculates the tree-level off-shell matrix elements and performs the phase space importance sampling to produ...

The quantum speed limit is a fundamental upper bound on the speed of quantum evolution.However, the actualmathematical expression of this fundamental limit depends on the choice of ameasure of distinguishability of quantum states.We show that quantum speed limits are qualitatively governed by the Schatten-p-normof the generator of quantumdynamics. Since computing Schatten-p-norms can bemathemat...

Let {T (t)} t≥0 be a C-semigroup on a Banach space X with generator A. We will investigate the asymptotic almost periodicity of {T (t)} via the Hille-Yosida space of its generator.

There has been a growing interest in studying evolutionary algorithms in dynamic environments in recent years due to its importance in real applications. However, different dynamic test problems have been used to test and compare the performance of algorithms. This paper proposes a generalized dynamic benchmark generator (GDBG) that can be instantiated into the binary space, real space and comb...

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The article aims at optimizing six-phase induction generator-based renewable energy systems (6-phase IGs or dual star generators) through a novel nonlinear optimal control method. Six-phase generators appear to be advantageous compared three-phase synchronous asynchronous power generators, in terms of fault tolerance and improved generation rates. dynamic model the generator is first written mu...

here, we have considered the husimi and wigner distribution functions. we have, inparticular, shown how the uncertainty principle works for the two cases of simple and damped harmonicoscillators when either of these two distributions are used. the conclusion shows that the husimidistribution function remains non-negative through the phase space but it does not always satisfies theuncertainty pr...