86,173 research outputs found
On the solutions of the Schrodinger equation with some molecular potentials: wave function ansatz
Making an ansatz to the wave function, the exact solutions of the %
-dimensional radial Schrodinger equation with some molecular potentials like
pseudoharmonic and modified Kratzer potentials are obtained. The restriction on
the parameters of the given potential, and are also given,
where depends on a linear combination of the angular momentum quantum
number and the spatial dimensions and is a parameter in
the ansatz to the wave function. On inserting D=3, we find that the bound state
eigensolutions recover their standard analytical forms in literature.Comment: 14 page
The forgotten first: John MacCormick's 'DĂšn-Ăluinn'
The first Gaelic novel, John MacCormick's DĂšn-Ăluinn, no an t-Oighre 'na DhĂŹobarach, was serialised in the People's Journal in 1910 before being published in its entirety in 1912. Within a year of the publication of DĂšn-Ăluinn as a novel the second Gaelic novel, Angus Robertson's An t-Ogha Mòr, appeared in print, underlining the renaissance which Gaelic literature was experiencing. Both novels, while remarked upon by contemporaries and by general studies of Gaelic literature, have been all but ignored to date, with no criticism or analysis of either having been published. The main aim of this article is to offer some general comments about MacCormick's DĂšn-Ăluinn and thus to open up both the novel and indeed other early twentieth-century Gaelic writers and their work to further scrutiny. Consideration will be given to the author himself, the contemporary Gaelic literary scene and finally some of the more interesting aspects of the novel itself
Smarandache's function applied to perfect numbers
Smarandache's function may be defined as follows: S(n) = the smallest positive integer such that S(n)! is divisible by n. In this article we are going to see that the value this function takes when n is a perfect number
Maxwellian theory of gravitational waves and their mechanical properties
We present a theory in Maxwellian form for gravitational waves in a flat background. This requires us to identify the gravitational analogues of the electric and magnetic fields for light. An important novelty, however, is that our analogues are not vector fields but rather rank-two tensor fields; in place of a three-component vector at each point in space, as in electromagnetism, our fields are three by three symmetric matrices at each point. The resulting Maxwell-like equations lead directly to a Poynting theorem for the local energy density associated with a gravitational wave and to associated local properties including densities of momentum and angular momentum
Resolution of the Abraham-Minkowski dilemma
The dilemma of identifying the correct form for the momentum of light in a medium has run for a century and has been informed by many distinguished contributions, both theoretical and experimental. We show that both the Abraham and Minkowski forms of the momentum density are correct, with the former being the kinetic momentum and the latter the canonical momentum. This identification allows us to explain why the experiments supporting each of the rival momenta gave the results that they did. The inclusion of dispersion and absorption provides an interesting subtlety, but does not change our conclusion
Social Control and Social Criticism: the nineteenth-century còmhradh
The paper discusses the emergence of the còmhradh (dialogue)as the preferred prose genre for the discussion of social issues in the course of the century. It focuses on the way in which the còmhradh was used, first by the Rev. Dr Norman MacLeod (Caraid nan Gaidheal) as a form of Establishment propaganda which aimed to diffuse social unrest during the famines of the 1830s and 1840s, then offers a contrast with the use of the còmhradh in the 1870s and 1880s when it was adopted as part of the campaigning literature of the croftersâ cause
Private enterprise: the country diary of an Edwardian lady and female fan communities : The Country Diary of an Edwardian Lady and female fan communities
Edith Holden(1871-1920) is the naturalist celebrated for her bestselling Country Diary of an Edwardian Lady (written 1906, published posthumously 1977). This book of natural observations, paintings, and poetry remained at the top of the British Sunday Times bestseller list for a record- breaking sixty-three weeks and sold prolifically throughout the United States, Europe, and the Far East. In the subsequent decade, public demand for information about the little-known author led to a biography and television drama, while the diary itself inspired an international tourist and merchandising industry which encompassed (to name only a few examples) books of gardening, cookery, crafts, household furnishings, and food
Length-weight relationship and organ indices of pond raised and wild population of C. gariepinus (Burchell 1822) pisces-Claridae
Samples of C. gariepinus collected from the wild and cultured populations in Plateau and Niger States of Nigeria were analyzed for length-weight relationship and organ indices (Gonadosomatic index (GSI), hepatosomatic index (HSI), renalsomatic index (RSI) and somatic fat deposit index (PDI). High correlation and linear relationship between body length and body weight was observed in all sample population (P<0.05). A significant difference was observed between the GSI of males and females of both wild and cultured population and also between females of the wild and cultured population,(P < 0.05).There was no significant difference in HSI, CSI RSI and PDI of all the sample populations (P < 0.05).The importance of length-weight relationship and organ indices in fish production are discusse
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