2,277 research outputs found
N-fold Supersymmetry in Quantum Mechanics - Analyses of Particular Models -
We investigate particular models which can be N-fold supersymmetric at
specific values of a parameter in the Hamiltonians. The models to be
investigated are a periodic potential and a parity-symmetric sextic triple-well
potential. Through the quantitative analyses on the non-perturbative
contributions to the spectra by the use of the valley method, we show how the
characteristic features of N-fold supersymmetry which have been previously
reported by the authors can be observed. We also clarify the difference between
quasi-exactly solvable and quasi-perturbatively solvable case in view of the
dynamical property, that is, dynamical N-fold supersymmetry breaking.Comment: 32 pages, 10 figures, REVTeX
Testing new physics with the electron g-2
We argue that the anomalous magnetic moment of the electron (a_e) can be used
to probe new physics. We show that the present bound on new-physics
contributions to a_e is 8*10^-13, but the sensitivity can be improved by about
an order of magnitude with new measurements of a_e and more refined
determinations of alpha in atomic-physics experiments. Tests on new-physics
effects in a_e can play a crucial role in the interpretation of the observed
discrepancy in the anomalous magnetic moment of the muon (a_mu). In a large
class of models, new contributions to magnetic moments scale with the square of
lepton masses and thus the anomaly in a_mu suggests a new-physics effect in a_e
of (0.7 +- 0.2)*10^-13. We also present examples of new-physics theories in
which this scaling is violated and larger effects in a_e are expected. In such
models the value of a_e is correlated with specific predictions for processes
with violation of lepton number or lepton universality, and with the electric
dipole moment of the electron.Comment: 34 pages, 7 figures. Minor changes and references adde
Double Shape Invariance of Two-Dimensional Singular Morse Model
A second shape invariance property of the two-dimensional generalized Morse
potential is discovered. Though the potential is not amenable to conventional
separation of variables, the above property allows to build purely
algebraically part of the spectrum and corresponding wave functions, starting
from {\it one} definite state, which can be obtained by the method of
-separation of variables, proposed recently.Comment: 9 page
Algebraic Model for scattering of three-s-cluster systems. II. Resonances in the three-cluster continuum of 6He and 6Be
The resonance states embedded in the three-cluster continuum of 6He and 6Be
are obtained in the Algebraic Version of the Resonating Group Method. The model
accounts for a correct treatment of the Pauli principle. It also provides the
correct three-cluster continuum boundary conditions by using a Hyperspherical
Harmonics basis. The model reproduces the observed resonances well and achieves
good agreement with other models. A better understanding for the process of
formation and decay of the resonance states in six-nucleon systems is obtained.Comment: 8 pages, 10 postscript figures, submitted to Phys. Rev.
Systematic study of the SO(10) symmetry breaking vacua in the matrix model for type IIB superstrings
We study the properties of the space-time that emerges dynamically from the
matrix model for type IIB superstrings in ten dimensions. We calculate the free
energy and the extent of space-time using the Gaussian expansion method up to
the third order. Unlike previous works, we study the SO(d) symmetric vacua with
all possible values of d within the range , and observe clear
indication of plateaus in the parameter space of the Gaussian action, which is
crucial for the results to be reliable. The obtained results indeed exhibit
systematic dependence on d, which turns out to be surprisingly similar to what
was observed recently in an analogous work on the six-dimensional version of
the model. In particular, we find the following properties: i) the extent in
the shrunken directions is given by a constant, which does not depend on d; ii)
the ten-dimensional volume of the Euclidean space-time is given by a constant,
which does not depend on d except for d = 2; iii) The free energy takes the
minimum value at d = 3. Intuitive understanding of these results is given by
using the low-energy effective theory and some Monte Carlo results.Comment: 33 pages, 10 figures; minor corrections, reference added. arXiv admin
note: substantial text overlap with arXiv:1007.088
Avaliação da toxicidade do diflubenzuron e P-cloroanilina em indicadores bioquĂmicos de organismos nĂŁo-alvo aquáticos.
Resumo: O uso de produtos agrĂcolas vem sendo a principal forma de combater parasitas na aquicultura, sendo que o Diflubenzuron, (DFB) Ă© o mais utilizado. Este composto inibe a sĂntese de quitina, componente do exoesqueleto dos parasitas, e apresenta baixa toxicidade aos peixes. PorĂ©m, no ambiente aquático, o DFB pode ser tĂłxico Ă s espĂ©cies nĂŁo-alvo e, quando degradado, gera p-cloroanilina, (PCA), metabĂłlito potencialmente cancerĂgeno e mutagĂŞnico para o ser humano. Tendo em vista a necessidade de se obter mais informações sobre a toxicidade destes compostos nos organismos aquáticos nĂŁo-alvo, a proposta deste trabalho foi analisar a atividade enzimática de fosfatases ácida (FAT) e alcalina (Fale), catalase (CAT) e superoxido dismutase (SOD) de microalga Pseudokirchneriella subcapitata, microcrustáceo Daphnia similis e o peixe Oreochromis niloticus com base na concentração efetiva 50% (CE50) com vistas a suprir a necessidade de dados na literatura acerca da toxicidade destes produtos e analisar o possĂvel uso da análise enzimática como indicador de poluição de recursos hĂdricos em programas de biomonitoramento
Darboux-Egoroff Metrics, Rational Landau-Ginzburg Potentials and the Painleve VI Equation
We present a class of three-dimensional integrable structures associated with
the Darboux-Egoroff metric and classical Euler equations of free rotations of a
rigid body. They are obtained as canonical structures of rational
Landau-Ginzburg potentials and provide solutions to the Painleve VI equation.Comment: 20 page
The Heun equation and the Calogero-Moser-Sutherland system V: generalized Darboux transformations
We obtain isomonodromic transformations for Heun's equation by generalizing
Darboux transformation, and we find pairs and triplets of Heun's equation which
have the same monodromy structure. By composing generalized Darboux
transformations, we establish a new construction of the commuting operator
which ensures finite-gap property. As an application, we prove conjectures in
part III.Comment: 24 page
Irreducible second order SUSY transformations between real and complex potentials
Second order SUSY transformations between real and complex potentials for
three important from physical point of view Sturm-Liouville problems, namely,
problems with the Dirichlet boundary conditions for a finite interval, for a
half axis and for the whole real line are analyzed. For every problem
conditions on transformation functions are formulated when transformations are
irreducible, i.e. when either the intermediate Hamiltonian is not well defined
in the same Hilbert space as the initial and final Hamiltonians or its
eigenfunctions cannot be obtained by applying transformation operator either on
eigenfunctions of the initial Hamiltonian or on these of the final Hamiltonian.
Obtained results are illustrated by numerous simple examples.Comment: Thanks to M.V. Ioffee Ref. [13] is corrected in the second versio
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