Noncommutativity from spectral flow
نویسنده
چکیده
We investigate the transition from second to first order systems. This transforms configuration space into phase space and hence introduces noncommutativity in the former. Quantum mechanically, the transition may be described in terms of spectral flow. Gaps in the energy or mass spectrum may become large which effectively truncates the available state space. Using both operator and path integral languages we explicitly discuss examples in quantum mechanics, (lightfront) quantum field theory and string theory. PACS numbers: 11.10.Ef, 11.15.Bt Noncommutativity from spectral flow 2
منابع مشابه
Generalized Space-time Noncommutative Inflation
We study the noncommutative inflation with a time-dependent noncommutativity between space and time. From the numerical analysis of power law inflation, there are clues that the CMB spectrum indicates a nonconstant noncommutative inflation. Then we extend our treatment to the inflation models with more general noncommutativity and find that the scalar perturbation power spectrum depends sensiti...
متن کاملNoncommutativity and the lightfront
We discuss various limits which transform configuration space into phase space, with emphasis on those related to lightfront field theory, and show that they are unified by spectral flow. Examples include quantising in ‘almost lightfront’ coordinates and the appearance of lightlike noncommutativity from a strong background laser field. We compare this with the limit of a strong magnetic field, ...
متن کاملSpectral noncommutative geometry and quantization: a simple example
The idea that the geometric structure of physical spacetime could be noncommutative exists in different versions. In some of versions, the noncommutativity of geometry is viewed as a direct effect of quantum mechanics, which disappears in the limit in which we consider processes involving actions much larger than the Planck constant [1]. In the noncommutative geometry approach of Connes et. al....
متن کاملAnalysis of Flow of Nanofluid through a Porous Channel with Expanding or Contracting Walls using Chebychev Spectral Collocation Method
In this work, we applied Chebychev spectral collocation method to analyze the unsteady two-dimensional flow of nanofluid in a porous channel through expanding or contracting walls with large injection or suction. The solutions are used to study the effects of various parameters on the flow of the nanofluid in the porous channel. From the analysis, It was established that increase in expansion r...
متن کاملOn Time-Space Noncommutativity for Transition Processes and Noncommutative Symmetries
We explore the consequences of time-space noncommutativity in the quantum mechanics of atoms and molecules, focusing on the Moyal plane with just time-space noncommutativity ([x̂μ, x̂ν ] = iθμν , θ0i ≡/ 0, θij = 0). Space rotations and parity are not automorphisms of this algebra and are not symmetries of quantum physics. Still, the spectral degeneracies of a time-independent Hamiltonian due to s...
متن کامل