منابع مشابه
Noncommutative Lagrange Mechanics
It is proposed how to impose a general type of “noncommutativity” within classical mechanics from first principles. Formulation is performed in completely alternative way, i.e. without any resort to fuzzy and/or star product philosophy, which are extensively applied within noncommutative quantum theories. Newton–Lagrange noncommutative equations of motion are formulated and their properties are...
متن کاملOn Noncommutative Classical Mechanics
In this work, I investigate the noncommutative Poisson algebra of classical observables corresponding to a proposed general Noncommutative Quantum Mechanics, [1]. I treat some classical systems with various potentials and some Physical interpretations are given concerning the presence of noncommutativity at large scales (Celeste Mechanics) directly tied to the one present at small scales (Quant...
متن کاملNoncommutative Quantum Mechanics
We consider Feynman’s path integral approach to quantum mechanics with a noncommutativity in position and momentum sectors of the phase space. We show that a quantum-mechanical system with this kind of noncommutativity is equivalent to the another one with usual commutative coordinates and momenta. We found connection between quadratic classical Hamiltonians, as well as Lagrangians, in their co...
متن کاملScattering in Noncommutative Quantum Mechanics
We derive the correction due to noncommutativity of space on Born approximation, then the correction for the case of Yukawa potential is explicitly calculated. The correction depends on the angle of scattering. Using partial wave method it is shown that the conservation of the number of particles in elastic scattering is also valid in noncommutative spaces which means that the unitarity relatio...
متن کاملTensor Coordinates in Noncommutative Mechanics
A consistent classical mechanics formulation is presented in such a way that, under quantization, it gives a noncommutative quantum theory with interesting new features. The Dirac formalism for constrained Hamiltonian systems is strongly used, and the object of noncommutativity θ plays a fundamental rule as an independent quantity. The presented classical theory, as its quantum counterpart, is ...
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ژورنال
عنوان ژورنال: Symmetry, Integrability and Geometry: Methods and Applications
سال: 2008
ISSN: 1815-0659
DOI: 10.3842/sigma.2008.028