969 research outputs found
Towards constructing one-particle representations of the deformed Poincar\'e algebra
We give a method for obtaining states of massive particle representations of
the two-parameter deformation of the Poincar\'e algebra proposed in
q-alg/9601010, q-alg/9505030 and q-alg/9501026. We discuss four procedures to
generate eigenstates of a complete set of commuting operators starting from the
rest state. One result of this work is the fact that upon deforming to the
quantum Poincar\'e algebra the rest state is split into an infinite number of
states. Another result is that the energy spectrum of these states is discrete.
Some curious residual degeneracy remains: there are states constructed by
applying different operators to the rest state which nevertheless are
indistinguishable by eigenvalues of all the observables in the algebra.Comment: 23 pages. New interpretation of the results is given: upon the
deformation the rest state of Poincar\'e algebra is split into an infinite
number of states with discrete energy spectrum. Title, abstract and
conclusion are change
Differential Calculus on the Quantum Superspace and Deformation of Phase Space
We investigate non-commutative differential calculus on the supersymmetric
version of quantum space where the non-commuting super-coordinates consist of
bosonic as well as fermionic (Grassmann) coordinates. Multi-parametric quantum
deformation of the general linear supergroup, , is studied and the
explicit form for the -matrix, which is the solution of the
Yang-Baxter equation, is presented. We derive the quantum-matrix commutation
relation of and the quantum superdeterminant. We apply these
results for the to the deformed phase-space of supercoordinates and
their momenta, from which we construct the -matrix of q-deformed
orthosymplectic group and calculate its -matrix. Some
detailed argument for quantum super-Clifford algebras and the explict
expression of the -matrix will be presented for the case of
.Comment: 17 pages, KUCP-4
h-deformation of GL(1|1)
h-deformation of (graded) Hopf algebra of functions on supergroup GL(1|1) is
introduced via a contration of GL_q (1|1). The deformation parameter h is odd
(grassmann). Related differential calculus on h-superplane is presented.Comment: latex file, 8 pages, minor change
A (p,q) Deformation of the Universal Enveloping Superalgebra U(osp(2/2))
We investigate a two parameter quantum deformation of the universal
enveloping orthosymplectic superalgebra U(osp(2/2)) by extending the
Faddeev-Reshetikhin-Takhtajan formalism to the supersymetric case. It is shown
that possesses a non-commutative, non-cocommutative Hopf
algebra structure. All the results are expressed in the standard form using
quantum Chevalley basis.Comment: 8 pages; IC/93/41
Design and Test of a Forward Neutron Calorimeter for the ZEUS Experiment
A lead scintillator sandwich sampling calorimeter has been installed in the
HERA tunnel 105.6 m from the central ZEUS detector in the proton beam
direction. It is designed to measure the energy and scattering angle of
neutrons produced in charge exchange ep collisions. Before installation the
calorimeter was tested and calibrated in the H6 beam at CERN where 120 GeV
electrons, muons, pions and protons were made incident on the calorimeter. In
addition, the spectrum of fast neutrons from charge exchange proton-lucite
collisions was measured. The design and construction of the calorimeter is
described, and the results of the CERN test reported. Special attention is paid
to the measurement of shower position, shower width, and the separation of
electromagnetic showers from hadronic showers. The overall energy scale as
determined from the energy spectrum of charge exchange neutrons is compared to
that obtained from direct beam hadrons.Comment: 45 pages, 22 Encapsulated Postscript figures, submitted to Nuclear
Instruments and Method
Cohomological Operators and Covariant Quantum Superalgebras
We obtain an interesting realization of the de Rham cohomological operators
of differential geometry in terms of the noncommutative q-superoscillators for
the supersymmetric quantum group GL_{qp} (1|1). In particular, we show that a
unique superalgebra, obeyed by the bilinears of fermionic and bosonic
noncommutative q-(super)oscillators of GL_{qp} (1|1), is exactly identical to
that obeyed by the de Rham cohomological operators. A set of discrete symmetry
transformation for a set of GL_{qp} (1|1) covariant superalgebras turns out to
be the analogue of the Hodge duality * operation of differential geometry. A
connection with an extended BRST algebra obeyed by the nilpotent (anti-)BRST
and (anti-)co-BRST charges, the ghost charge and a bosonic charge (which is
equal to the anticommutator of (anti-)BRST and (anti-)co-BRST charges) is also
established.Comment: LaTeX file, 21 page
Deformed Minkowski spaces: clasification and properties
Using general but simple covariance arguments, we classify the `quantum'
Minkowski spaces for dimensionless deformation parameters. This requires a
previous analysis of the associated Lorentz groups, which reproduces a previous
classification by Woronowicz and Zakrzewski. As a consequence of the unified
analysis presented, we give the commutation properties, the deformed (and
central) length element and the metric tensor for the different spacetime
algebras.Comment: Some comments/misprints have been added/corrected, to appear in
Journal of Physics A (1996
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