In the Bargmann representation of quantum mechanics, physical states are mapped into entire functions of a complex variable z, whereas the creation and annihilation operators â and â play the role of multiplication and differentiation with respect to z, respectively. In this paper we propose an alternative representation of quantum states, conjugate to the Bargmann representation, where the rol...

since Φ̂(ω)Φ̂(−θ) = e−σ2(‖ω‖2+‖θ‖2)/4 = Φ̂(ω−θ)e−σ2(ω·θ∗+ω∗·θ)/4. (9) Assuming X is near equilibrium then, at reasonably low temperature, the power spectrum of the point configuration shows the bluenoise properties, i.e., has a delta at the origin and vanishes in an annulus around it. The approximation function Â(ω) equals to this function times Φ̂(ω) which is zero outside the angulus and hence Â(ω...

Let A be an abelian variety,  be the dual abelian variety. The Fourier-Mukai transform is an equivalence between the derived categories of coherent sheaves Db(A) and Db(Â). Notice that there is a ”symplectic” line bundle LA on (Â×A)2, namely, LA = p14P⊗√∈∋P where P is the Poincaré line bundle on Â×A, such that the standard embeddings A ⊂ Â×A and  ⊂ Â×A are ”lagrangian” with respect to LA, i.e...

 ñòàòüå ïðåäëîæåí ìåòîä âûÿâëåíèÿ ñòåãàíîãðàôè÷åñêèõ âñòàâîê, ôîðìèðóåìûõ ñ ïîìîùüþ ïîäìåíû íàèìåíåå çíà÷àùåãî áèòà (LSB). Îáíàðóæåíèå îñóùåñòâëÿåòñÿ ñ ïîìîùüþ ðàçáèåíèÿ èçîáðàæåíèÿ íà ñëîè è àíàëèçà îêðóæåíèÿ êàæäîãî áèòà ìëàäøåãî ñëîÿ. Àíàëèçèðóþòñÿ òàêæå áèòû ðàñïîëîæåííûå íàä èññëåäóåìûì áèòîì â äâóõ âûøåëåæàùèõ ñëîÿõ. Äëÿ ïðèíÿòèÿ ðåøåíèÿ î ïîäìåíå êîíêðåòíîãî áèòà èñïîëüçóåòñÿ ìåòîä àíàë...

o-2-Macroglobulin («2M)was demonstrated in normal and mildly dysplastic cervical epithelium using immunohistochemical methods. In contrast, staining for «2Mdiminished gradually with advancing epithelial dysplasia and was totally negative in truly neoplastic lesions. No in vitro synthesis could be detected in cultured ectocervical cells or in a corresponding malignant cell line (HeLa). However...

Aims—To examine long term survival of women with primary and recurrent cervical carcinoma in relation to (1) excretion of â-core (a urinary metabolite of â human chorionic gonadotrophin (âhCG)) and (2) âhCG immunostaining of the tumours, to determine the suitability of these markers for assessing prognosis. Methods—This was a prospective observational study undertaken in a gynaecological oncolo...

The effect of treatment with the aromatase inhibitor, 4-hydroxyandrostenedione (4-OHA) on the peripheral conversion of androstenedione to estrone has been examined in eight postmenopausal women with advanced breast cancer. Before treatment conversion of androstenedione to estrone (|P]BB')ranged from 0.81 to 3.7% and was almost completely inhibited after treatment with 4-OHA (two doses of 500 mg...

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The asymmetric nature of the boson ‘destruction’ operator â and its ‘creation’ partner ↠is made apparent by applying them to a quantum state |ψ〉 different from the Fock state |n〉. We show that it is possible to increase (by many times or by any quantity) the mean number of quanta in the new ‘photonsubtracted’ state â|ψ〉. Moreover, for certain ‘hyper-Poissonian’ states |ψ〉 the mean number of q...

In the article arXiv:0903.5277 [quant-ph], we have presented a mathematically rigorous quantum-mechanical treatment of a one-dimensional motion of a particle in the Calogero potential V (x) = αx−2. In such a way, we have described all possible s.a. operators (s.a. Hamiltonians) associated with the formal differential expression Ȟ = −dx + αx−2 for the Calogero Hamiltonian. Here, we discuss a new...