9,102 research outputs found
Composite fermions from the algebraic point of view
Composite fermion wavefuctions have been used to describe electrons in a
strong magnetic field. We show that the polynomial part of these wavefunctions
can be obtained by applying a normal ordered product of suitably defined
annihilation and creation operators to an even power of the Vandermonde
determinant, which can been considered as a kind of a non-trivial Fermi sea. In
the case of the harmonic interaction we solve the system exactly in the lowest
Landau level. The solution makes explicit the boson-fermion correspondence
proposed recently.Comment: 11 pages 1 figur
Development of a speech autocuer
A wearable, visually based prosthesis for the deaf based upon the proven method for removing lipreading ambiguity known as cued speech was fabricated and tested. Both software and hardware developments are described, including a microcomputer, display, and speech preprocessor
-pairing interaction, number of states, and nine- sum rules of four identical particles
In this paper we study -pairing Hamiltonian and find that the sum of
eigenvalues of spin states equals sum of norm matrix elements within the
pair basis for four identical particles such as four fermions in a single-
shell or four bosons with spin . We relate number of states to sum rules of
nine- coefficients. We obtained sum rules for nine- coefficients
summing
over (1) even and , (2) even and odd , (3) odd and odd ,
and (4) both even and odd , where is a half integer and is an
integer.Comment: 6 pages, no figure, updated version, to be published. Physical Review
C, in pres
Number of Spin States of Identical Particles
In this paper we study the enumeration of number (denoted as ) of spin
states for fermions in a single- shell and bosons with spin . We show
that can be enumerated by the reduction from SU to SO(3). New
regularities of are discerned.Comment: 3 pages, no figures. to be publishe
Primary education for global learning and sustainability
This is one of a series of research reports commissioned by the Cambridge Primary Review Trust (CPRT), a notfor-profit company established in December 2012 with the aim of consolidating and building on the evidence,
findings and principles of the Cambridge Primary Review. Cambridge Primary Review Trust is supported by
Pearson Education, based at the University of York and chaired by Professor Robin Alexander. A briefing which summarises key issues from this report is also available. The report and briefing may be downloaded from the Trust’s website: www.cprtrust.org.uk. The website also provides information and other reports in this series, and about the many publications of the Cambridge Primary Review
LOCAL VARIABILITY IN THE ORBIT OF SATURN'S F RING
This work was supported by the Science and Technology Facilities Council (grant number ST/F007566/1)
Number of states with fixed angular momentum for identical fermions and bosons
We present in this paper empirical formulas for the number of angular
momentum I states for three and four identical fermions or bosons. In the cases
with large I we prove that the number of states with the same and n
but different J is identical if for fermions
and for bosons, and that the number of states is also identical
for the same but different n and J if min(n, 2J+1 -
n) for fermions and for min(n, 2J) for bosons. Here , n is the particle number, and J refers to the angular momentum of
a single-particle orbit for fermions, or the spin L carried by bosons.Comment: 9 pages, no figure
Promoting the consumer voice : the role of Healthwatch Salford's Enter and View programme
The daily business of running a care home means that, outside of regulatory inspections, assessing and improving the user experience can often be forgotten. Healthwatch Salford discuss their process of gaining constructive feedback using their innovative Enter and View programm
Seniority conservation and seniority violation in the g_{9/2} shell
The g_{9/2} shell of identical particles is the first one for which one can
have seniority-mixing effects. We consider three interactions: a delta
interaction that conserves seniority, a quadrupole-quadrupole (QQ) interaction
that does not, and a third one consisting of two-body matrix elements taken
from experiment (98Cd) that also leads to some seniority mixing. We deal with
proton holes relative to a Z=50,N=50 core. One surprising result is that, for a
four-particle system with total angular momentum I=4, there is one state with
seniority v=4 that is an eigenstate of any two-body interaction--seniority
conserving or not. The other two states are mixtures of v=2 and v=4 for the
seniority-mixing interactions. The same thing holds true for I=6. Another point
of interest is that the splittings E(I_{max})-E(I_{min}) are the same for three
and five particles with a seniority conserving interaction (a well known
result), but are equal and opposite for a QQ interaction. We also fit the
spectra with a combination of the delta and QQ interactions. The Z=40,N=40 core
plus g_{9/2} neutrons (Zr isotopes) is also considered, although it is
recognized that the core is deformed.Comment: 19 pages, 9 figures; RevTeX4. We have corrected the SDI values in
Table1 and Fig.1; in Sect.VII we have included an explanation of Fig.3
through triaxiality; we have added comments of Figs.10-12 in Sect.IX; we have
removed Figs.7-
- …