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Gustav Robert Kirchhoff War Der Sohn Eines Landrichters
Akademischer Werdegang *12.03.1824 in Königsberg (heute: Kaliningrad) Besuch des Kneiphöschen Gymnasiums in Königsberg ab 1842 Studium der Mathematik und Physik an der Universität Königsberg 1847 Promotion in Berlin 1850 Berufung zum außerordentlichen Professor nach Breslau (Polen) 1854 Professor für Physik an der Universität Heidelberg 1874 – 1886 Professor für mathematische Physik in Berlin 1876 Cothenius – Medaille der Leopoldina als Auszeichnung für [1] wissenschaftliches Arbeiten † 17.10.1887 in Berlin Gustav Robert Kirchhoff war der Sohn eines Landrichters. Während des Studiums in seiner Heimatstadt wurde er u. a. von den Professoren F.E. Neumann und F. J. Richelot gelehrt. Im Physikseminar von Neumann verfasste Kirchhoff mit 21 Jahren seine erste Arbeit über den Durchgang der Elektrizität durch Platten. Während der Promotions- und Habilitationsphase an der Universität Berlin entwickelte sich eine Freundschaft mit dem Universalgenie H. Helmholtz. Kirchhoff folgte schließlich der Berufung zum außerordentlichen Professor nach Breslau, wo er R. W. Bunsen, den Erfinder des Bunsenbrenners kennen lernte. Dieser wechselte zur Universität nach Heidelberg, worauf ihm Kirchhoff folgte. Gemeinsam veröffentlichten sie zahlreiche Schriften und entdeckten, wie verschiedene chemische Elemente die Flamme eines Gasbrenners färben. Sie prägten die Spektralanalyse als physikalische Analysemethode und konnten mit ihrer Hilfe eine Erklärung der Frauenhoferlinie finden. Außerdem verzeichneten sie die Entdeckung der Elemente Caesium und Rubidium. Des Weiteren entstand bei Experimenten der Spektralanalyse der Kirchhoffsche Strahlungssatz. Kirchhoffs und Bunsens erster Spektralapparat [2] Kirchhoff arbeitete auch an der Plattentheorie. Der Piola-Kirchhoff-Spannungstensor, die Kirchhoff-Love- Hypothese und die sogenannten Kirchhoff-Platten erinnern daran. 1857 heiratete er Clara Richelot, die Tochter seines Professors für Mathematik. Gemeinsam bekamen sie vier Kinder und führten eine glückliche Ehe. -
Vectors and Beyond: Geometric Algebra and Its Philosophical
dialectica Vol. 63, N° 4 (2010), pp. 381–395 DOI: 10.1111/j.1746-8361.2009.01214.x Vectors and Beyond: Geometric Algebra and its Philosophical Significancedltc_1214 381..396 Peter Simons† In mathematics, like in everything else, it is the Darwinian struggle for life of ideas that leads to the survival of the concepts which we actually use, often believed to have come to us fully armed with goodness from some mysterious Platonic repository of truths. Simon Altmann 1. Introduction The purpose of this paper is to draw the attention of philosophers and others interested in the applicability of mathematics to a quiet revolution that is taking place around the theory of vectors and their application. It is not that new math- ematics is being invented – on the contrary, the basic concepts are over a century old – but rather that this old theory, having languished for many decades as a quaint backwater, is being rediscovered and properly applied for the first time. The philosophical importance of this quiet revolution is not that new applications for old mathematics are being found. That presumably happens much of the time. Rather it is that this new range of applications affords us a novel insight into the reasons why vectors and their mathematical kin find application at all in the real world. Indirectly, it tells us something general but interesting about the nature of the spatiotemporal world we all inhabit, and that is of philosophical significance. Quite what this significance amounts to is not yet clear. I should stress that nothing here is original: the history is quite accessible from several sources, and the mathematics is commonplace to those who know it. -
ESI NEWS Volume 5, Issue 2, Autumn 2010
The Erwin Schrödinger International Boltzmanngasse 9/2 Institute for Mathematical Physics A-1090 Vienna, Austria ESI NEWS Volume 5, Issue 2, Autumn 2010 Editorial nized by A. Rebhan (Vienna), S. Husa Contents (Univ. Illes Balears, Spain) and K. Land- Klaus Schmidt steiner (IFT Madrid, Spain) and ran for Editorial1 three months from August – October 2010. This programme studied quantum chromo- Stefan Hollands: Correlators in de- dynamics (QCD), the theory of the strong Sitter spacetime and the ‘heat As many readers of nuclear interactions and focussed on the death’ of the Universe3 this newsletter will theory behind some of the expected – and know already, the year some unexpected – properties of the state Letters in Support of the ESI 10 2010 was ‘interesting’ of matter in heavy-ion collisions at the News from the ESI Community 19 for the ESI. Relativistic Heavy Ion Collider (RHIC) at Scientifically, the the Brookhaven National Laboratory in the Current and Future Activities of second half of this USA, for example. Two workshops were the ESI 22 year continued very well. The programme part of this programme, one on AdS holog- raphy and the quark-gluon plasma, and one Erwin Schrödinger Lectures 24 Matter and radiation, organized by V.Bach (Mainz), J. Fröhlich (ETH Zürich) und J. on Hot matter. More than 100 participants Senior Research Fellows’ Lecture Yngvason (Vienna) ended on July 31. Its visited the ESI for various periods of time Courses 2011 24 subject matter was the quantum mechanical during this activity. description of non-relativistic matter, with The last thematic programme in 2010 Lectures on physical and math- about 50 participating scientists. -
Recent Books on Vector Analysis. 463
1921.] RECENT BOOKS ON VECTOR ANALYSIS. 463 RECENT BOOKS ON VECTOR ANALYSIS. Einführung in die Vehtoranalysis, mit Anwendungen auf die mathematische Physik. By R. Gans. 4th edition. Leip zig and Berlin, Teubner, 1921. 118 pp. Elements of Vector Algebra. By L. Silberstein. New York, Longmans, Green, and Company, 1919. 42 pp. Vehtor analysis. By C. Runge. Vol. I. Die Vektoranalysis des dreidimensionalen Raumes. Leipzig, Hirzel, 1919. viii + 195 pp. Précis de Calcul géométrique. By R. Leveugle. Preface by H. Fehr. Paris, Gauthier-Villars, 1920. lvi + 400 pp. The first of these books is for the most part a reprint of the third edition, which has been reviewed in this BULLETIN (vol. 21 (1915), p. 360). Some small condensation of results has been accomplished by making deductions by purely vector methods. The author still clings to the rather common idea that a vector is a certain triple on a certain set of coordinate axes, so that his development is rather that of a shorthand than of a study of expressions which are not dependent upon axes. The second book is a quite brief exposition of the bare fundamentals of vector algebra, the notation being that of Heaviside, which Silberstein has used before. It is designed primarily to satisfy the needs of those studying geometric optics. However the author goes so far as to mention a linear vector operator and the notion of dyad. The exposition is very simple and could be followed by high school students who had had trigonometry. The third of the books mentioned is an elementary exposition of vectors from the standpoint of Grassmann. -
Stephan Hruszkewycz Tuesday, September 25 • 4 Pm • Tech L211
THE MATERIALS SCIENCE AND ENGINEERING DEPARTMENT COLLOQUIUM SERIES PRESENTS: Stephan Hruszkewycz Assistant Physicist, Argonne National Laboratory Opportunities for materials science with coherent x-ray diffraction imaging Recent progress in 3D coherent x-ray diffraction imaging methods can enable high resolution structural imaging of nano-structured crystalline materials under operating conditions. In this talk, I discuss developments in Bragg coherent diffraction imaging (BCDI) that aim to broaden the envelope of materials science problems that can be addressed with the technique. Following an introduction of the basic principles of the method, two specific topics will be discussed: 1) BCDI at high x-ray energies that provide dramatic penetrating ability, 2) Bragg ptychography that enable imaging of targeted sub- volumes of a crystal. Both approaches will be discussed in the context of materials science problems that can be addressed in-situ at next-generation synchrotron storage rings including the Upgraded Advanced Photon Source project now underway at Argonne National Laboratory. Stephan Hruszkewycz is a staff scientist in the Materials Science Division at Argonne National Laboratory. His research focuses on developing and using coherent x-ray scattering techniques to interrogate nanoscale materials structure and dynamics under working conditions to reveal structure-property relationships. Currently he is using strain- sensitive coherent Bragg diffraction to image subtle strain fields in nanoscale crystals for photonic and quantum information applications. These research thrusts are pursued at high-brightness synchrotron sources with state-of-the-art coherence-preserving beamlines, including those at the Advanced Photon Source, NSLS-II, and LCLS, and aim to broaden the applicability of coherent diffraction imaging within both the broader materials science community. -
Selected Bibliography of American History Through Biography
DOCUMENT RESUME ED 088 763 SO 007 145 AUTHOR Fustukjian, Samuel, Comp. TITLE Selected Bibliography of American History through Biography. PUB DATE Aug 71 NOTE 101p.; Represents holdings in the Penfold Library, State University of New York, College at Oswego EDRS PRICE MF-$0.75 HC-$5.40 DESCRIPTORS *American Culture; *American Studies; Architects; Bibliographies; *Biographies; Business; Education; Lawyers; Literature; Medicine; Military Personnel; Politics; Presidents; Religion; Scientists; Social Work; *United States History ABSTRACT The books included in this bibliography were written by or about notable Americans from the 16th century to the present and were selected from the moldings of the Penfield Library, State University of New York, Oswego, on the basis of the individual's contribution in his field. The division irto subject groups is borrowed from the biographical section of the "Encyclopedia of American History" with the addition of "Presidents" and includes fields in science, social science, arts and humanities, and public life. A person versatile in more than one field is categorized under the field which reflects his greatest achievement. Scientists who were more effective in the diffusion of knowledge than in original and creative work, appear in the tables as "Educators." Each bibliographic entry includes author, title, publisher, place and data of publication, and Library of Congress classification. An index of names and list of selected reference tools containing biographies concludes the bibliography. (JH) U S DEPARTMENT Of NIA1.114, EDUCATIONaWELFARE NATIONAL INSTITUTE OP EDUCATION THIS DOCUMENT HAS BEEN REPRO DUCED ExAC ICY AS RECEIVED FROM THE PERSON OR ORGANIZATIONORIGIN ATING IT POINTS OF VIEW OR OPINIONS STATED DO NOT NECESSARILYREPRE SENT OFFICIAL NATIONAL INSTITUTEOF EDUCATION POSITION OR POLICY PREFACE American History, through biograRhies is a bibliography of books written about 1, notable Americans, found in Penfield Library at S.U.N.Y. -
Gibbs' Paradox and the Definition of Entropy
Entropy 2008, 10, 15-18 entropy ISSN 1099-4300 °c 2008 by MDPI www.mdpi.org/entropy/ Full Paper Gibbs’ Paradox and the Definition of Entropy Robert H. Swendsen Physics Department, Carnegie Mellon University, Pittsburgh, PA 15213, USA E-Mail: [email protected] Received: 10 December 2007 / Accepted: 14 March 2008 / Published: 20 March 2008 Abstract: Gibbs’ Paradox is shown to arise from an incorrect traditional definition of the entropy that has unfortunately become entrenched in physics textbooks. Among its flaws, the traditional definition predicts a violation of the second law of thermodynamics when applied to colloids. By adopting Boltzmann’s definition of the entropy, the violation of the second law is eliminated, the properties of colloids are correctly predicted, and Gibbs’ Paradox vanishes. Keywords: Gibbs’ Paradox, entropy, extensivity, Boltzmann. 1. Introduction Gibbs’ Paradox [1–3] is based on a traditional definition of the entropy in statistical mechanics found in most textbooks [4–6]. According to this definition, the entropy of a classical system is given by the product of Boltzmann’s constant, k, with the logarithm of a volume in phase space. This is shown in many textbooks to lead to the following equation for the entropy of a classical ideal gas of distinguishable particles, 3 E S (E; V; N) = kN[ ln V + ln + X]; (1) trad 2 N where X is a constant. Most versions of Gibbs’ Paradox, including the one I give in this section, rest on the fact that Eq. 1 is not extensive. There is another version of Gibbs’ Paradox that involves the mixing of two gases, which I will discuss in the third section of this paper. -
7 X 11 Long.P65
Cambridge University Press 978-0-521-85349-1 - Meteor Showers and their Parent Comets Peter Jenniskens Excerpt More information Part I Introduction © Cambridge University Press www.cambridge.org Cambridge University Press 978-0-521-85349-1 - Meteor Showers and their Parent Comets Peter Jenniskens Excerpt More information 1 How meteor showers were linked to comets When we wish upon a falling star, we appeal to an ancient belief that the stars represent our souls and a meteor is one falling into the hereafter.1 In Teutonic mythology, for example, your star was tied to heaven by a thread, spun by the hands of an old woman from the day of your birth, and when it snapped, the star fell and your life had ended.2 The Greek philosophers were the first to speculate on the nature of things without regard to ancient myths. Especially the world views of Aristotle of Stagira (384–322 BC) in his 350 BC book Meteorology3 were widely quoted for over two thousand years, embraced by Christian religion, and passionately defended until into the eight- eenth century. The Greeks held that all matter in the Universe is made of the elements ‘‘earth,’’ ‘‘water,’’ ‘‘air,’’ and ‘‘fire.’’ Aristotle was of the opinion that shooting stars, because of their rapid motion, occurred relatively nearby in the realm of the element ‘‘fire’’ above the layer of ‘‘air’’ that is now called our atmosphere. He believed that shooting stars were not caused by the falling of stars, but were caused by thin streams of a warm and dry ‘‘windy exhalation’’ (a mixture of the elements fire and air) that had risen from dry land warmed by the Sun. -
Blackbody Radiation: (Vibrational Energies of Atoms in Solid Produce BB Radiation)
Independent study in physics The Thermodynamic Interaction of Light with Matter Mirna Alhanash Project in Physics Uppsala University Contents Abstract ................................................................................................................................................................................ 3 Introduction ......................................................................................................................................................................... 3 Blackbody Radiation: (vibrational energies of atoms in solid produce BB radiation) .................................... 4 Stefan-Boltzmann .............................................................................................................................................................. 6 Wien displacement law..................................................................................................................................................... 7 Photoelectric effect ......................................................................................................................................................... 12 Frequency dependence/Atom model & electron excitation .................................................................................. 12 Why we see colours ....................................................................................................................................................... 14 Optical properties of materials: .................................................................................................................................. -
MEMOIRS Row Standing on the Stern, Venetian Style, from the Lido, Where I Lived, to the School in Venice, Where I Studied
BRUNO BENEDETTO ROSSI April 13, 1905–November 21, 1993 BY GEORGE W. CLARK The initial motivation of the experiment which led to this discovery [of Sco X-1] was a subconscious feeling for the inexhaustible wealth of nature, a wealth that goes far beyond the imagination of man. That feeling was possi- bly generated by experiences in my previous work on cosmic rays; more likely it was inborn and was the reason why, as a young man, I went into the field of cosmic rays. In any case, whenever technical progress opened a new window into the surrounding world, I felt the urge to look through this window, hoping to see something unexpected.1 BEGINNINGS RUNO ROSSI WAS BORN April 13, 1905, in Venice, the el- Bdest of three sons of Rino Rossi and Lina Minerbi. His father was an electrical engineer whose successful career began with work on the electrification of Venice. He wrote in his autobiography2 that his father loved science and would have chosen it for a career except for practical consider- ations. He attributes to his father the influence that turned what may have been an “inborn tendency toward science . into a lifelong commitment.” He recalled: perfectly clear winter mornings when the air was so unusually transparent that the Alps surrounding Venice became clearly visible and appeared in- credibly close (Fata Morgana if you are a child or a poet, anomalous atmo- spheric refraction if you are a scientist). On those mornings I would try to find a sandalo (a small gondola) and, accompanied by a friend, I would 3 4 BIOGRAPHICAL MEMOIRS row standing on the stern, Venetian style, from the Lido, where I lived, to the school in Venice, where I studied. -
Ludwig Boltzmann Was Born in Vienna, Austria. He Received His Early Education from a Private Tutor at Home
Ludwig Boltzmann (1844-1906) Ludwig Boltzmann was born in Vienna, Austria. He received his early education from a private tutor at home. In 1863 he entered the University of Vienna, and was awarded his doctorate in 1866. His thesis was on the kinetic theory of gases under the supervision of Josef Stefan. Boltzmann moved to the University of Graz in 1869 where he was appointed chair of the department of theoretical physics. He would move six more times, occupying chairs in mathematics and experimental physics. Boltzmann was one of the most highly regarded scientists, and universities wishing to increase their prestige would lure him to their institutions with high salaries and prestigious posts. Boltzmann himself was subject to mood swings and he joked that this was due to his being born on the night between Shrove Tuesday and Ash Wednesday (or between Carnival and Lent). Traveling and relocating would temporarily provide relief from his depression. He married Henriette von Aigentler in 1876. They had three daughters and two sons. Boltzmann is best known for pioneering the field of statistical mechanics. This work was done independently of J. Willard Gibbs (who never moved from his home in Connecticut). Together their theories connected the seemingly wide gap between the macroscopic properties and behavior of substances with the microscopic properties and behavior of atoms and molecules. Interestingly, the history of statistical mechanics begins with a mathematical prize at Cambridge in 1855 on the subject of evaluating the motions of Saturn’s rings. (Laplace had developed a mechanical theory of the rings concluding that their stability was due to irregularities in mass distribution.) The prize was won by James Clerk Maxwell who then went on to develop the theory that, without knowing the individual motions of particles (or molecules), it was possible to use their statistical behavior to calculate properties of a gas such as viscosity, collision rate, diffusion rate and the ability to conduct heat. -
Henry Andrews Bumstead 1870-1920
NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA BIOGRAPHICAL MEMOIRS VOLUME XIII SECOND MEMOIR BIOGRAPHICAL MEMOIR OF HENRY ANDREWS BUMSTEAD 1870-1920 BY LEIGH PAGE PRESENTED TO THE ACADEMY AT THE ANNUAL MEETING, 1929 HENRY ANDREWS BUMSTEAD BY LIUGH PAGE Henry Andrews Bumstead was born in the small town of Pekin, Illinois, on March 12th, 1870, son of Samuel Josiah Bumstead and Sarah Ellen Seiwell. His father, who was a physician of considerable local prominence, had graduated from the medical school in Philadelphia and was one of the first American students of medicine to go to Vienna to complete his studies. While the family was in Vienna, Bumstead, then a child three years of age, learned to speak German as fluently as he spoke English, an accomplishment which was to prove valuable to him in his subsequent career. Bumstead was descended from an old New England family which traces its origin to Thomas Bumstead, a native of Eng- land, who settled in Boston, Massachusetts, about 1640. Many of his ancestors were engaged in the professions, his paternal grandfather, the Reverend Samuel Andrews Bumstead, being a graduate of Princeton Theological Seminary and a minister in active service. From them he inherited a keen mind and an unusually retentive memory. It is related that long before he had learned to read, his Sunday school teacher surprised his mother by complimenting her on the ease with which her son had rendered the Sunday lesson. It turned out that his mother made a habit of reading the lesson to Bumstead before he left for school, and the child's remarkable performance there was due to his ability to hold in his memory every word of the lesson after hearing it read to him a single time.