7,845 research outputs found
Generalized rotational hamiltonians from nonlinear angular momentum algebras
Higgs algebras are used to construct rotational Hamiltonians. The
correspondence between the spectrum of a triaxial rotor and the spectrum of a
cubic Higgs algebra is demonstrated. It is shown that a suitable choice of the
parameters of the polynomial algebra allows for a precise identification of
rotational properties. The harmonic limit is obtained by a contraction of the
algebra, leading to a linear symmetry.Comment: 3 figures, 6 pages, 15 references. Phys. Rev. C (in press, ms
CZ10038
An Rotor Model for Rotational Bands of Superdeformed Nuclei
A nonrigid rotor model is developed from the two-parameter quantum algebra
. [This model presents the symmetry and
shall be referred to as the qp-rotor model.] A rotational energy formula as
well as a qp-deformation of E2 reduced transition probabilities are derived.
The qp-rotor model is applied (through fitting procedures) to twenty rotational
bands of superdeformed nuclei in the , 150 and 190 mass regions.
Systematic comparisons between the qp-rotor model and the q-rotor model of
Raychev, Roussev and Smirnov, on one hand, and a basic three-parameter model,
on the other hand, are performed on energy spectra, on dynamical moments of
inertia and on B(E2) values. The physical signification of the deformation
parameters q and p is discussed.Comment: 24 pages, Latex File, to appear in IJMP
On the Use of Quantum Algebras in Rotation-Vibration Spectroscopy
A two-parameter deformation of the Lie algebra u is used, in conjunction
with the rotor system and the oscillator system, to generate a model for
rotation-vibration spectroscopy of molecules and nuclei.Comment: 10 pages, Latex File, published in Modern Group Theoretical Methods
in Physics, J. Bertrand et al. (eds.), Kluwer Academic Publishers (1995),
27-3
Construction of SU(3) irreps in canonical SO(3)-coupled bases
Alternative canonical methods for defining canonical SO(3)-coupled bases for
SU(3) irreps are considered and compared. It is shown that a basis that
diagonalizes a particular linear combination of SO(3) invariants in the SU(3)
universal enveloping algebra gives basis states that have good quantum
numbers in the asymptotic rotor-model limit.Comment: no figure
Geometric Algebra and Star Products on the Phase Space
Superanalysis can be deformed with a fermionic star product into a Clifford
calculus that is equivalent to geometric algebra. With this multivector
formalism it is then possible to formulate Riemannian geometry and an
inhomogeneous generalization of exterior calculus. Moreover it is shown here
how symplectic and Poisson geometry fit in this context. The application of
this formalism together with the bosonic star product formalism of deformation
quantization leads then on space and space-time to a natural appearance of spin
structures and on phase space to BRST structures that were found in the path
integral formulation of classical mechanics. Furthermore it will be shown that
Poincare and Lie-Poisson reduction can be formulated in this formalism.Comment: 35 page
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