6,432 research outputs found
Angular reduction in multiparticle matrix elements
A general method for the reduction of coupled spherical harmonic products is
presented. When the total angular coupling is zero, the reduction leads to an
explicitly real expression in the scalar products within the unit vector
arguments of the spherical harmonics. For non-scalar couplings, the reduction
gives Cartesian tensor forms for the spherical harmonic products, with tensors
built from the physical vectors in the original expression. The reduction for
arbitrary couplings is given in closed form, making it amenable to symbolic
manipulation on a computer. The final expressions do not depend on a special
choice of coordinate axes, nor do they contain azimuthal quantum number
summations, nor do they have complex tensor terms for couplings to a scalar.
Consequently, they are easily interpretable from the properties of the physical
vectors they contain.Comment: This version contains added comments and typographical corrections to
the original article. Now 27 pages, 0 figure
Quantum Walks of SU(2)_k Anyons on a Ladder
We study the effects of braiding interactions on single anyon dynamics using
a quantum walk model on a quasi-1-dimensional ladder filled with stationary
anyons. The model includes loss of information of the coin and nonlocal fusion
degrees of freedom on every second time step, such that the entanglement
between the position states and the exponentially growing auxiliary degrees of
freedom is lost. The computational complexity of numerical calculations reduces
drastically from the fully coherent anyonic quantum walk model, allowing for
relatively long simulations for anyons which are spin-1/2 irreps of SU(2)_k
Chern-Simons theory. We find that for Abelian anyons, the walk retains the
ballistic spreading velocity just like particles with trivial braiding
statistics. For non-Abelian anyons, the numerical results indicate that the
spreading velocity is linearly dependent on the number of time steps. By
approximating the Kraus generators of the time evolution map by circulant
matrices, it is shown that the spatial probability distribution for the k=2
walk, corresponding to Ising model anyons, is equal to the classical unbiased
random walk distribution.Comment: 12 pages, 4 figure
Homegrown Terror: Benedict Arnold and the Burning of New London
Benedict Arnold was a man who could have been a âfounding fatherâ of America, but instead became a national villain. His brutal attack on Connecticut epitomizes this transformation: the moment where an abstract idea of betrayal completes its evolution to the slaughter and destruction of his neighbors and their homes. Focusing on this significant but unfortunately forgotten incident addresses some of the major challenges of any discussion about this complex and confusing American figure. It also directly links Arnoldâs story with the stories of his friends and colleagues, something that has never been done before. The combination of these two approaches puts the focus on Arnoldâs effects rather than his motives, and on the victims rather than the attacker. Moreover, it reframes his âtreasonâ as âhomegrown terror,â a term that resonates with modern readers and whose definition echoes the 18th century word âparricide,â used by many contemporaries to describe Arnoldâs actions
Voice of the Moment: Henry Millerâs Paris Notebooks and the Problem of Autobiographical Fiction
In 2010 Yale's Beinecke Rare Book and Manuscript Library acquired Henry Miller's three "Paris Notebooks," which have been in private hands and read by only a few scholars over the past ninety years. They are a working writer's hodge-podge of undated diary entries, descriptions of places and people, lists, letters, rough drafts, and unpublished pieces. After close examination of the manuscripts, I assessed that these pages offer important insights, and I am writing a critical biography to expose their impact. The notebooks shed particular light on Miller's process, which seems far less "inspired" or "prophetic" and much more "workmanlike" than previously imagined. The first published result of this process, Tropic of Cancer, inspired generations of authors to write loosely autobiographical fiction, but also created a new problem when discussing these works. Many critics and even biographers conflate Henry Miller the person with the narrator or character of "Henry" in Tropic of Cancer and his other books. This is not a problem confined to scholarship on one author. Our literary culture continues to misunderstand poets and novelists who write in voices we imagine to be their own, whose "characters" speaking in On the Road or "Lady Lazarus" seem to be the same person as Jack Kerouac or Sylvia Plath, when in fact each is a persona, a voice of the moment
Yours Truly: The Practice of Writing Letters
Is letter-writing dead? Has the internet killed it? In âYours Truly,â Eric D. Lehman finds that while the style may be changing, the form of correspondence known as a letter is alive and well. Just as a conversation is more than delivering news, expressing your thoughts to a reader fully and completely, whether on paper or on an electronic screen, transcends the mere message in both its intention and effect. And even though the resulting letters are personal documents usually intended for one reader, they can be considered literature just as readily as an autobiography or personal essay
Punctuated Equilibrium in Software Evolution
The approach based on paradigm of self-organized criticality proposed for
experimental investigation and theoretical modelling of software evolution. The
dynamics of modifications studied for three free, open source programs Mozilla,
Free-BSD and Emacs using the data from version control systems. Scaling laws
typical for the self-organization criticality found. The model of software
evolution presenting the natural selection principle is proposed. The results
of numerical and analytical investigation of the model are presented. They are
in a good agreement with the data collected for the real-world software.Comment: 4 pages, LaTeX, 2 Postscript figure
Importance of Baryon-Baryon Coupling in Hypernuclei
The coupling in --hypernuclei and coupling in --hypernuclei produce novel
physics not observed in the conventional, nonstrange sector. Effects of
conversion in H are reviewed.
The role of coupling suppression in the
--hypernuclei due to Pauli blocking is highlighted, and the
implications for the structure of B are explored.
Suppression of conversion in He is hypothesized as the reason that the
matrix element is small. Measurement of H is
proposed to investigate the full interaction. The
implication for analog states is discussed.Comment: 17 pages LATEX, 1 figure uuencoded postscrip
YouTube Video Project: A Cool Way to Learn Communication Ethics
The millennial generation embraces new technologies as a natural way of accessing and exchanging information, staying connected, and having fun. YouTube, a video-sharing site that allows users to upload, view, and share video clips, is among the latest âcoolâ technologies for enjoying quick laughs, employing a wide variety of corporate activities, and also communicating relevant, engaging instructional content for todayâs students. This article describes a YouTube video class project that is a natural fit with todayâs students because it involves cutting-edge social media while addressing a critical component of professional developmentâcommunication ethics. This project encourages critical thinking, creativity, and applied learning in a team environment using a âcoolâ new media tool
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