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  • 1
    Electronic Resource
    Electronic Resource
    On the polynomial solutions of ordinary differential equations of the fourth order (1985)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 26 (1985), S. 1547-1552 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: The density of zeros of polynomial solutions of ordinary differential equations of the fourth order with coefficients depending only on the independent variable is analyzed. The first four moments of such a density are given directly in terms of the coefficients which characterize the differential operator. Application to the nonclassical orthogonal polynomials corresponding to the names Krall–Legendre, Krall–Laguerre, and Krall–Jacobi is done. Global asymptotic properties of the zeros of these polynomials are also obtained.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.526915
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  • 2
    Electronic Resource
    Electronic Resource
    On the zeros of eigenfunctions of polynomial differential operators (1985)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 26 (1985), S. 2729-2736 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: It is shown that for polynomial eigenfunctions of an ordinary polynomial differential operator with coefficients depending only on the independent variable it is possible to determine the density of nodes around the mean without solving the corresponding eigenvalue problem. This is done by means of the first few moments, which can be directly expressed in terms of the above-mentioned coefficients. Also, very simple expressions for the asymptotic values (i.e., when the degree of the polynomial becomes very large) of these quantities are found. For illustration, these results are applied to various orthogonal polynomials, which satisfy ordinary differential equations of second, fourth, and/or sixth order.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.526743
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  • 3
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    On the polynomial solutions of ordinary differential equations of the fourth order (1985)
    American Institute of Physics
    Details
    Publication Date: 1985-07-01
    Print ISSN: 0022-2488
    Electronic ISSN: 1089-7658
    Topics: Mathematics , Physics
    Published by American Institute of Physics
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  • 4
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    On the zeros of eigenfunctions of polynomial differential operators (1985)
    American Institute of Physics
    Details
    Publication Date: 1985-11-01
    Print ISSN: 0022-2488
    Electronic ISSN: 1089-7658
    Topics: Mathematics , Physics
    Published by American Institute of Physics
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  • 5
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    High levels of RNA-editing site conservation amongst 15 laboratory mouse strains (2012)
    BioMed Central
    Details
    Publication Date: 2012-01-01
    Print ISSN: 1465-6906
    Electronic ISSN: 1474-760X
    Topics: Biology
    Published by BioMed Central
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  • 6
    Electronic Resource
    Electronic Resource
    Localization and phosphorylation of HP1 proteins during the cell cycle in mammalian cells (1999)
    Springer
    Chromosoma 108 (1999), S. 220-234 
    Details
    ISSN: 1432-0886
    Keywords: Abbreviations. HP1 Heterochromatin protein 1 ; Pc Polycomb ; DAPI 4’ ; 6-diamidino-2-phenylindole
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Medicine
    Notes: Abstract. Mammalian heterochromatin proteins 1 (HP1α, HP1β, and HP1γ) are nonhistone proteins that interact in vitro with a set of proteins that play a role in chromatin silencing, transcription, and chromatin remodeling. Using antibodies specific for each HP1 isoform, we showed that they segregate in distinct nuclear domains of human HeLa cells. By contrast, in mouse 3T3 interphase cells, HP1α and HP1β are strictly colocalized. In mitotic HeLa cells, all of HP1α and a fraction of HP1β and HP1γ remain associated with chromosomes. Immunostaining of spread HeLa chromosomes showed that HP1α is mainly localized on centromeres as shown previously for HP1β, while HP1γ is distributed on discrete sites on the arms of chromosomes. Biochemical analysis showed that HP1α and HP1γ are phosphorylated throughout the cell cycle, although more extensively in mitosis than in interphase, while HP1β apparently remains unphosphorylated. Therefore, despite their extensive sequence conservation, mammalian HP1 isoforms differ widely in their nuclear localization, mitotic distribution and cell cycle-related phosphorylation. Thus, subtle differences in primary sequence and in posttranslational modifications may promote their targeting at different chromatin sites, generating pleiotropic effects.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s004120050372
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  • 7
    Electronic Resource
    Electronic Resource
    The method of interpolating integral equations for quantum Fluids.—III (1986)
    Springer
    Il nuovo cimento della Società Italiana di Fisica 8 (1986), S. 561-581 
    Details
    ISSN: 0392-6737
    Keywords: Fermi flluids: liquid helium-3
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Description / Table of Contents: Riassunto In due precedenti lavori è stata sviluppata una tecnica di interpolazione tra le approssimazioni (F)HNC e (F)PY per tenere conto dei cosiddetti contributi elementari nel calcolo delle proprietà dei fluidi quantistici a temperatura zero e descritti da funzioni d’onda con fattori di correlazione a corto raggio. Nel presente lavoro il metodo è esteso, per sistemi sia bosonici che fermionici, al caso in cui la funzione radiale di distribuzione contenga una coda con andamentor −4. Sono presentati i risultati ottenuti per l’energia per particella e la distribuzione di quantità di moto dell’4He liquido, dell’idrogeno polarizzato e dell’3He liquido, in corrispondenza a funzioni d’onda variazionali contenenti solo correlazioni di coppia.
    Abstract: Резюме В двух предыдущих работах был предложен метод интерполяции между (F)HNC и (F)PY подходами. В этих работах рассматривались свойства квантовых жидкостей при нулевой температуре, которые описываются волновыми функциями с короткодействующими корреляциями. В данной работе, для Бозеи Ферми-систем, предложенная тенхика обобщается на случай, когда двух-частичная радиальная функция распределения содержит длиннодействующий хвост, который спадает какr −4. Приводятся результаты для энергии на одну частицу и импульсное распределение для жидкого4He, поляризованного водорода и3H, причем соответствующие вариационные волновые функции содержат только двух-частичные корреляции.
    Notes: Summary A method for interpolating between the (F)HNC and (F)PY approaches in order to take into account elementary contributions has been presented in two preceding papers concerned with the properties of zero-temperature quantum fluids, described by short-range correlated wave functions. In the present paper, both for Bose and for Fermi systems, the technique is extended to the case in which the two-body radial distribution function contains a long-range tail, going asr −4. The results obtained for the energy per particle and momentum distribution of liquid4He, polarized hydrogen and3He are presented in correspondence to variational wave functions containing only two-particle correlations.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02451083
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  • 8
    Electronic Resource
    Electronic Resource
    Path-dependent techniques for electromagnetism with magnetic charges (1989)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 30 (1989), S. 1933-1936 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: An extension of the Green's function formalism to the path dependent formulation of electromagnetism with magnetic charges is presented. The explicit form of the electromagnetic potential in terms of a generalized current density is calculated. As an example, the radiation field created by a moving particle with both types of charge is found. A technique is developed for the computation of ordinary potentials in terms of path dependent potentials. It is shown how the problem of a moving magnetic charge can be treated without the difficulty of dealing with moving strings of singularities. As an illustration of the method, the electromagnetic potential for a magnetic monopole moving in a straight line is calculated.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.528228
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  • 9
    Electronic Resource
    Electronic Resource
    Atomic properties from energy-optimized wave functions (2001)
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 115 (2001), S. 1166-1171 
    Details
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Most of the variational Monte Carlo applications on quantum chemistry problems rely on variance-optimized wave functions. Recently, M. Snajdr and S. M. Rothstein, [J. Chem. Phys. 112, 4935 (2000)] have concluded that energy optimization allows one to obtain wave functions that provide better values for a wide variety of ground state properties. In this work we study the quality of energy-optimized wave functions obtained by using the methodology of Lin, Zhang, and Rappe [J. Chem. Phys. 112, 2650 (2000)], as compared with variance-optimized ones for He to Ne atoms. In order to assess this problem we calculate the energy and some other selected properties. The accuracy and performance of the energy-optimization method is studied. A comparison of properties calculated with energy-optimized wave functions to those existing in the literature and obtained by means of variance-optimized wave functions shows a better performance of the former. © 2001 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.1381408
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  • 10
    Electronic Resource
    Electronic Resource
    Momentum space densities for the beryllium isoelectronic series (2000)
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 113 (2000), S. 8631-8636 
    Details
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: One- and two-body densities in momentum space have been calculated for the atomic beryllium isoelectronic series starting from explicitly correlated multideterminant wave functions. The effects of electronic correlations have been systematically studied by comparing the correlated results with the corresponding Hartree–Fock ones. Some expectation values such as 〈δ(p(vector))〉, 〈pn〉, 〈δ(p(vector)12)〉, 〈p12n〉, 〈δ(P(vector))〉, and 〈Pn〉, where p(vector), p(vector)12, and P(vector) stand for the electron–nucleus, interelectronic, and two-electron center-of-mass momentum coordinates, respectively, and the angular correlation coefficient have been obtained. All the calculations have been carried out by using the Monte Carlo algorithm. © 2000 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.1316036
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