117,651 research outputs found

    Soliton-like Solutions To The Ordinary Schrödinger Equation Within Standard Quantum Mechanics

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    In recent times attention has been paid to the fact that (linear) wave equations admit of "soliton-like" solutions, known as localized waves or non-diffracting waves, which propagate without distortion in one direction. Such localized solutions (existing also for K-G or Dirac equations) are a priori suitable, more than gaussian's, for describing elementary particle motion. In this paper we show that, mutatis mutandis, localized solutions exist even for the ordinary (linear) Schrödinger equation within standard quantum mechanics; and we obtain both approximate and exact solutions, also setting forth for them particular examples. In the ideal case such solutions (even if localized and "decaying") are not square-integrable, as well as plane or spherical waves: we show therefore how to obtain finite-energy solutions. At last, we briefly consider solutions for a particle moving in the presence of a potential. © 2012 American Institute of Physics.535Bateman, H., Courant, R., Hilbert, D., Stratton, J.A., (1941) Electromagnetic Theory, 2, p. 356. , (Cambridge University Press, Cambridge)(Wiley, New York), (McGraw-Hill, New York)Rached, M.Z., Recami, E., Figueroa, H.E., Rached, M.Z., Recami, E., Figueroa, H.E., Recami, E., Rached, M.Z., Localized waves: a review (2009) Adv. Imaging Electron Phys., 156, pp. 235-355. , 10.1140/epjd/e2002-00198-7, H. E. H. Figueroa, M. Z. Rached, E. Recami, 10.1016/S1076-5670(08)01404-3, See, e.g. e-print arXiv:physics/0109062;, references therein;, edited by and (Wiley, New York)Rached, M.Z., Analytical expressions for the longitudinal evolution of nondiffracting pulses truncated by finite apertures (2006) J. Opt. Soc. Am. 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A, 209 (6), p. 227. , 10.1007/BF02770989, 10.1007/BF02724327, 10.1103/PhysRevE.69.027602, 10.1016/0375-9601(95)00735-3, references therein;cf. also e-print arXiv:0804.1502Recami, E., Lu, J., Greenleaf, J.F., Recami, E., Limited diffraction solutions to Maxwell (and Schrödinger) equations (1998) Physica A, 252, pp. 586-610. , 10.1016/S0378-4371(97)00686-9, references therein;cf. also e-print arXiv:physics/9610012Recami, E., Rached, M.Z., Figueroa, H.E.H., Rached, M.Z., Recami, E., Figueroa, H.E.H., Structure of the nondiffracting waves and some interesting applications (2008) Localized Waves, pp. 43-77. , H. E. H. Figueroa, M. Z. Rached, E. Recami, H. E. H. Figueroa, M. Z. Rached, E. Recami, e-print arXiv:0708.1655;, edited by and (Wiley, New York), Chap. 1, e-print arXiv:0708.1209;, edited by and (Wiley, New York), Chap. 2Ziolkowski, W., Besieris, I.M., Shaarawi, A.M., Aperture realizations of exact solutions to homogeneous wave-equations (1993) J. Opt. Soc. Am. 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E, 67, p. 036620. , 10.1103/PhysRevE.66.046617, 10.1103/PhysRevE.64.066603, 10.1103/PhysRevE.67.036620, e-print arXiv:physics/0209104Barbero, A.P.L., Figueroa, H.E.H., Recami, E., Nimtz, G., Enders, A., Nimtz, G., Enders, A., Figueroa, H.E.H., A rigorous analysis of localized wave propagation in optical fibers (2001) Opt. Commun., 191 (6-7), pp. 49-54. , 10.1103/PhysRevE.62.8628, 10.1051/jp1:1992236, 10.1051/jp1:1993257, 10.1051/jp1:1994160, 10.1209/epl/i2002-00592-1, 10.1103/PhysRevA.65.052124, 10.1103/PhysRevE.65.046610, 10.1080/09500340410001664386, 10.1209/epl/i2004-10523-8, 10.1016/S0030-4018(01)01050-1, Cf. also e-printOlkhovsky, V.S., Recami, E., Jakiel, J., Unified time analysis of photon and nonrelativistic particle tunnelling (2004) Phys. Rep., 398, pp. 133-178. , 10.1016/j.physrep.2004.06.001, and references thereinMcLeod, J.H., McLeod, J.H., Durnin, J., Miceli, J.J., Eberly, J.H., Sheppard, C.J.R., Wilson, T., Sheppard, C.J.R., Gaussian-beam theory of lenses with annular aperture (1978) IEE J. Microwaves, Opt. Acoust., 2, pp. 163-166. , 10.1364/JOSA.44.000592, 10.1364/JOSA.50.000166, 10.1103/PhysRevLett.58.1499, 10.1049/ij-moa.1978.0023, 10.1049/ij-moa.1978.0035, see alsoFor pulses, however, the generation technique must deviate from optics', since in the Schrödinger equation case the phase of the Bessel beams produced through an annular slit would depend on the energyMackinnon, L., A nondispersive de Broglie wave packet (1978) Found. Phys., 8, p. 157. , 10.1007/BF00715205Gradshteyn, I.S., Ryzhik, I.M., (1965) Integrals, Series and Products, , 4th ed. (Academic, New York)Le Coq, Y., Thywissen, J.H., Rangwala, S.A., Gerbier, F., Richard, S., Delannoy, G., Bouyer, P., Esslinger, T., Optics with an atom laser beam (2001) Phys. Rev. Lett., 87, p. 030401. , 10.1103/PhysRevLett.87.170403, 10.1103/PhysRevLett.87.030401(2003) Ettore Majorana-Notes on Theoretical Physics, p. 512. , S. Esposito, E. Majorana Jr., A. van der Merwe, E. Recami, edited by , and (Kluwer, Dordrecht

    Going Beyond Counting First Authors in Author Co-citation Analysis

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    The present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed

    A preliminary investigation on hydrogel disks imbibed with enriched transfersomes as promising tool to promote the cutaneous deposition of vaccine antigens

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    [EN] The skin is an appealing and easily accessible route of administration for fast mass vaccination. However, it relies mainly on injection, meaning no immunization is achieved locally. In addition, pain, fear, and injuries strongly affect and reduce the effectiveness and adherence of patients to vaccination plans. Non-invasive routes of administration offer a safe and reliable solution. On these bases, three series of phospholipid vesicles were ecofriendly developed and adequately modified to pursue cutaneous immunization. Ovalbumin was selected as the model antigen, whereas transfersomes were chosen over liposomes because of their higher capability to cross the skin. Glycerol, sodium hyaluronate, or their combination were added to further improve their penetration, and this led to small ( 0.05 with respect to the ovalbumin solution tested at the same dose), they are expected to perform better than the ovalbumin solution due to the protection and the enhanced skin deposition they provide. In addition, all the formulations can be safely administered as they are highly biocompatible in a wide range of doses (>100 % from 0.05 to 50 mu g/mL of ovalbumin) and do not exert any inflammatory response. However, further studies are needed to confirm these promising preliminary results.Aroffu, M.; Rached, RA.; Castangia, I.; Italiani, P.; D'apice, L.; Fernandez-Busquets, X.; Nácher Alonso, MA.... (2024). A preliminary investigation on hydrogel disks imbibed with enriched transfersomes as promising tool to promote the cutaneous deposition of vaccine antigens. Journal of Drug Delivery Science and Technology. 102. https://doi.org/10.1016/j.jddst.2024.106399S10

    Square Dancing with the Stars to Enhance Dynamic Hirschman Linkages?

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    In this Presidential Address, the author takes the reader on a reconnaissance of his life and time as a regional scientist. He points out scenery he found scintillating along the way, hoping that some may pick up the banner and chew on a few of the ideas for a while. He suggests a revisit to Albert O. Hirschman’s notion of key sectors and more empirical analysis related to Marcus Berliant’s and Masahisa Fujita’s notion of knowledge creation and transfer.Presidential Address, San Antonio, Texas, March 29, 2014 (53rd Meetings of the Southern Regional Science Association

    Appropriate Similarity Measures for Author Cocitation Analysis

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    We provide a number of new insights into the methodological discussion about author cocitation analysis. We first argue that the use of the Pearson correlation for measuring the similarity between authors’ cocitation profiles is not very satisfactory. We then discuss what kind of similarity measures may be used as an alternative to the Pearson correlation. We consider three similarity measures in particular. One is the well-known cosine. The other two similarity measures have not been used before in the bibliometric literature. Finally, we show by means of an example that our findings have a high practical relevance.information science;Pearson correlation;cosine;similarity measure;author cocitation analysis

    Letter from unknown writer to Jesse L. Boyce

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    Letter to Jesse L. Boyce from unknown author (possibly Jack) about the investigation into the powder magazine located in the Grand Canyon. Some personal news is included in the letter such as the writer's marriage to the daughter of C.A. Taylor, former Supervisor of Cochise County

    Dispelling the Myths Behind First-author Citation Counts

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    We conducted a full-scale evaluative citation analysis study of scholars in the XML research field to explore just how different from each other author rankings resulting from different citation counting methods actually are, and to demonstrate the capability of emerging data and tools on the Web in supporting more realistic citation counting methods. Our results contest some common arguments for the continued use of first-author citation counts in the evaluation of scholars, such as high correlations between author rankings by first-author citation counts and other citation counting methods, and high costs of using more realistic citation counting methods that are not well-supported by the ISI databases. It is argued that increasingly available digital full text research papers make it possible for citation analysis studies to go beyond what the ISI databases have directly supported and to employ more sophisticated methods

    Sarah L. Blum Author Visit - Warrior Nurse: PTSD and Healing

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    Hear Sarah L. Blum, author of Women Under Fire: Abuse in the Military, discuss her newest book, Warrior Nurse: PTSD and Healing followed by a Q&A and book signing. Sarah L. Blum is a decorated Vietnam veteran who served as an operating room nurse during the intense fighting of 1967. In recognition of her service, she was awarded the Army Commendation Medal. Sponsored by CWU Veterans Center and CWU Libraries.https://digitalcommons.cwu.edu/libraryevents/1252/thumbnail.jp

    Lillian L. Lambert, Author, Speaker, and Entrepreneur

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    Lillian L. Lambert, Author, Speaker, and Entrepreneu

    Letter to Alfred L. Shoemaker, February 10, 1948

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    A handwritten letter from an unknown author addressed to Alfred L. Shoemaker, dated February 10, 1948. Within, the author discusses the Pennsylvania Dutch word for Ash Wednesday, along with traditions associated with this day.https://digitalcommons.ursinus.edu/shoemaker_documents/1118/thumbnail.jp
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