4 research outputs found
Noncommutative quantum mechanics of a harmonic oscillator under linearized gravitational waves
We consider the quantum dynamics of a harmonic oscillator in noncommutative
space under the influence of linearized gravitational waves (GW) in the long
wave-length and low-velocity limit. Following the prescription in \cite{ncgw1}
we quantize the system. The Hamiltonian of the system is solved by using
standard algebraic iterative methods. The solution shows signatures of the
coordinate noncommutativity via alterations in the oscillation frequency of the
harmonic oscillator system from its commutative counterpart. Moreover, it is
found that the response of the harmonic oscillator to periodic GW, when their
frequencies match, will oscillate with a time scale imposed by the NC
parameter. We expect this noncommutative signature to show up as some noise
source in the GW detection experiments since the recent phenomenological
upper-bounds set on spatial noncommutative parameter implies a length-scale
comparable to the length-variations due to the passage of gravitational waves,
detectable in the present day GW detectors.Comment: 6 pages Late
A Renormalized Supersymmetry in the Topological Yang-Mills Field Theory
We reconsider the algebraic BRS renormalization of Witten's topological
Yang-Mills field theory by making use of a vector supersymmetry Ward identity
which improves the finiteness properties of the model. The vector
supersymmetric structure is a common feature of several topological theories.
The most general local counterterm is determined and is shown to be a trivial
BRS-coboundary.Comment: 18 pages, report REF. TUW 94-10 and UGVA-DPT 1994/07-85
Noncommutative quantum mechanics of a test particle under linearized gravitational waves
We consider the quantum dynamics of a test particle in noncommutative space
under the influence of linearized gravitational waves in the long wave-length
and low-velocity limit. A prescription for quantizing the classical Hamiltonian
for the interaction of gravitational wave with matter in noncommutative space
is proposed. The Hamiltonian (and hence the system) is then exactly solved by
using standard algebraic methods. The solutions show prominent signatures of
the noncommutative nature of space. Computation of the expectation value of the
particle's position reveals the inherent quantum nature of spacetime
noncommutativity.Comment: Accepted in Physics Letters B, minor changes made, references adde