Ivanenko. Biography
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Abstract Book
14th International Geometry Symposium 25-28 May 2016 ABSTRACT BOOK Pamukkale University Denizli - TURKEY 1 14th International Geometry Symposium Pamukkale University Denizli/TURKEY 25-28 May 2016 14th International Geometry Symposium ABSTRACT BOOK 1 14th International Geometry Symposium Pamukkale University Denizli/TURKEY 25-28 May 2016 Proceedings of the 14th International Geometry Symposium Edited By: Dr. Şevket CİVELEK Dr. Cansel YORMAZ E-Published By: Pamukkale University Department of Mathematics Denizli, TURKEY All rights reserved. No part of this publication may be reproduced in any material form (including photocopying or storing in any medium by electronic means or whether or not transiently or incidentally to some other use of this publication) without the written permission of the copyright holder. Authors of papers in these proceedings are authorized to use their own material freely. Applications for the copyright holder’s written permission to reproduce any part of this publication should be addressed to: Assoc. Prof. Dr. Şevket CİVELEK Pamukkale University Department of Mathematics Denizli, TURKEY Email: [email protected] 2 14th International Geometry Symposium Pamukkale University Denizli/TURKEY 25-28 May 2016 Proceedings of the 14th International Geometry Symposium May 25-28, 2016 Denizli, Turkey. Jointly Organized by Pamukkale University Department of Mathematics Denizli, Turkey 3 14th International Geometry Symposium Pamukkale University Denizli/TURKEY 25-28 May 2016 PREFACE This volume comprises the abstracts of contributed papers presented at the 14th International Geometry Symposium, 14IGS 2016 held on May 25-28, 2016, in Denizli, Turkey. 14IGS 2016 is jointly organized by Department of Mathematics, Pamukkale University, Denizli, Turkey. The sysposium is aimed to provide a platform for Geometry and its applications. -
Lagrangian Dynamics of Submanifolds. Relativistic Mechanics
JOURNAL OF GEOMETRIC MECHANICS doi:10.3934/jgm.2012.4.99 c American Institute of Mathematical Sciences Volume 4, Number 1, March 2012 pp. 99{110 LAGRANGIAN DYNAMICS OF SUBMANIFOLDS. RELATIVISTIC MECHANICS Gennadi Sardanashvily Department of Theoretical Physics Moscow State University Moscow, Russia (Communicated by Manuel de Le´on) Abstract. Geometric formulation of Lagrangian relativistic mechanics in the terms of jets of one-dimensional submanifolds is generalized to Lagrangian theory of submanifolds of arbitrary dimension. 1. Introduction. Classical non-relativistic mechanics is adequately formulated as Lagrangian and Hamiltonian theory on a fibre bundle Q ! R over the time axis R, where R is provided with the Cartesian coordinate t possessing transition functions t0 = t+const. [1,5,7,8, 11]. A velocity space of non-relativistic mechanics is a first order jet manifold J 1Q of sections of Q ! R. Lagrangians of non-relativistic mechanics are defined as densities on J 1Q. This formulation is extended to time- reparametrized non-relativistic mechanics subject to time-dependent transforma- tions which are bundle automorphisms of Q ! R [5,8]. Thus, one can think of non-relativistic mechanics as being particular classical field theory on fibre bundles over X = R. However, an essential difference between non-relativistic mechanics and field theory on fibre bundles Y ! X, dim X > 1, lies in the fact that connections on Q ! R always are flat. Therefore, they fail to be dynamic variables, but characterize non-relativistic reference frames. In comparison with non-relativistic mechanics, relativistic mechanics admits trans- formations of the time depending on other variables, e.g., Lorentz transformations in Special Relativity on a Minkowski space Q = R4. -
Quantum Tunneling – TRIUMF Saturday Morning Lecture – March 28Th, 2008
Quantum Tunneling – TRIUMF Saturday Morning Lecture – March 28th, 2008 Patrick Bruskiewich Department of Physics and Astronomy, UBC & TRIUMF What we will look at ... The “Big Picture” behind the very small ... Feynman and “Room at the Bottom” – Think Small! Nanotechnology George Gamow and Quantum Tunneling I will be unconventional ! In talking about Quantum Tunneling I will talk about applications before I talk in any detail about the theory of Quantum Tunneling. Tunneling is a quantum effect and is only seen in structures nanometer or smaller in scale! The “Big Picture” behind the very small world of QM Why are we interested in Quantum Mechanics? Is it just because it is Weird and Interesting? How big a role does Quantum Mechanics play in our lives? How much wealth created in the past century draws from QM? A) 5 per cent B) 15 per cent C) 25 percent? A Surprising Answer! During the last 100 years, about 25 % of new wealth draws from Quantum Mechanics. st In this, the 21 century, we can expect upwards of 50% of new wealth to come from Quantum Mechanics! ... In Them hills ... In the past ... Today ... “there’s Silicon in them “there’s Gold in them Computer Chips!” hills!” CPU $ 300,000 /Troy Ounce! Au $ 800 / Troy Ounce. Nanotechnology in near future $ 30,000,000 / Troy Ounce Then and now ... Twenty years ago, 80% of computer chips used The recent economic in North America were down-turn is tied to made here (... 20% changes in international were imported). trade that can just as well be measured in the Today 20% of computer flow of computer chips. -
Soviet Science As Cultural Diplomacy During the Tbilisi Conference on General Relativity Jean-Philippe Martinez
Soviet Science as Cultural Diplomacy during the Tbilisi Conference on General Relativity Jean-Philippe Martinez To cite this version: Jean-Philippe Martinez. Soviet Science as Cultural Diplomacy during the Tbilisi Conference on General Relativity. Vestnik of Saint Petersburg University. History, 2019, 64 (1), pp.120-135. 10.21638/11701/spbu02.2019.107. halshs-02145239 HAL Id: halshs-02145239 https://halshs.archives-ouvertes.fr/halshs-02145239 Submitted on 2 Jun 2019 HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. Вестник СПбГУ. История. 2019. Т. 64. Вып. 1 Soviet Science as Cultural Diplomacy during the Tbilisi Conference on General Relativity J.-P. Martinez For citation: Martinez J.-P. Soviet Science as Cultural Diplomacy during the Tbilisi Conference on General Relativity. Vestnik of Saint Petersburg University. History, 2019, vol. 64, issue 1, рp. 120–135. https://doi.org/10.21638/11701/spbu02.2019.107 Scientific research — in particular, military and nuclear — had proven during the Second World War to have the potential to demonstrate the superiority of a country. Then, its inter- nationalization in the post-war period led to its being considered a key element of cultural diplomacy. -
Background Geometry in Gauge Gravitation Theory
BACKGROUND GEOMETRY IN GAUGE GRAVITATION THEORY Gennadi Sardanashvily Department of Theoretical Physics, Moscow State University, 117234 Moscow, Russia E-mail: [email protected] Abstract Dirac fermion fields are responsible for spontaneous symmetry breaking in gauge grav- itation theory because the spin structure associated with a tetrad field is not preserved under general covariant transformations. Two solutions of this problem can be suggested. (i) There exists the universal spin structure S → X such that any spin structure Sh → X associated with a tetrad field h is a subbundle of the bundle S → X. In this model, gravitational fields correspond to different tetrad (or metric) fields. (ii) A background tetrad field h and the associated spin structure Sh are fixed, while gravitational fields are λ λ λ µ identified with additional tensor fields q µ describing deviations ha = q µha of h. One can think of h as being effective tetrad fields. We show that theree exist gauge trans- formations whiche keep the background tetrad field h and act on the effective fields by the general covariant transformation law. We come to Logunov’s Relativistic Theory of Gravity generalized to dynamic connections and fermion fields. arXiv:gr-qc/9709054v1 21 Sep 1997 1 Introduction Existence of Dirac fermion fields implies that, if a world manifold X is non-compact in order to satisfy causility conditions, it is parallelizable, that is, the tangent bundle TX is trivial and the principal bundle LX of oriented frames in TX admits a global section [1]. Dirac spinors are defined as follows [2, 3]. Let M be the Minkowski space with the metric η = diag(1, −1, −1, −1), a written with respect to a basis {e }. -
Catalogue 176
C A T A L O G U E – 1 7 6 JEFF WEBER RARE BOOKS Catalogue 176 Revolutions in Science THE CURRENT catalogue continues the alphabet started with cat. #174. Lots of new books are being offered here, including books on astronomy, mathematics, and related fields. While there are many inexpensive books offered there are also a few special pieces, highlighted with the extraordinary LUBIENIECKI, this copy being entirely handcolored in a contemporary hand. Among the books are the mathematic libraries of Dr. Harold Levine of Stanford University and Father Barnabas Hughes of the Franciscan order in California. Additional material is offered from the libraries of David Lindberg and L. Pearce Williams. Normally I highlight the books being offered, but today’s bookselling world is changing rapidly. Many books are only sold on-line and thus many retailers have become abscent from city streets. If they stay in the trade, they deal on-line. I have come from a tradition of old style bookselling and hope to continue binging fine books available at reasonable prices as I have in the past. I have been blessed with being able to represent many collections over the years. No one could predict where we are all now today. What is your view of today’s book world? How can I serve you better? Let me know. www.WeberRareBooks.com On the site are more than 10,000 antiquarian books in the fields of science, medicine, Americana, classics, books on books and fore-edge paintings. The books in current catalogues are not listed on-line until mail-order clients have priority. -
Solitary Waves in the Nonlinear Dirac Equation
Solitary waves in the Nonlinear Dirac Equation Jesus´ Cuevas-Maraver, Nabile Boussa¨ıd, Andrew Comech, Ruomeng Lan, Panayotis G. Kevrekidis, and Avadh Saxena Abstract In the present work, we consider the existence, stability, and dynamics of solitary waves in the nonlinear Dirac equation. We start by introducing the Soler model of self-interacting spinors, and discuss its localized waveforms in one, two, and three spatial dimensions and the equations they satisfy. We present the associ- ated explicit solutions in one dimension and numerically obtain their analogues in higher dimensions. The stability is subsequently discussed from a theoretical per- spective and then complemented with numerical computations. Finally, the dynam- ics of the solutions is explored and compared to its non-relativistic analogue, which is the nonlinear Schrodinger¨ equation. Jesus´ Cuevas-Maraver Grupo de F´ısica No Lineal, Universidad de Sevilla, Departamento de F´ısica Aplicada I, Escuela Politecnica´ Superior. C/ Virgen de Africa,´ 7, 41011-Sevilla, Spain, Instituto de Matematicas´ de la Universidad de Sevilla (IMUS). Edificio Celestino Mutis. Avda. Reina Mercedes s/n, 41012-Sevilla, Spain e-mail: [email protected] Nabile Boussa¨ıd Universite´ de Franche-Comte,´ 25030 Besanc¸on CEDEX, France Andrew Comech St. Petersburg State University, St. Petersburg 199178, Russia Department of Mathematics, Texas A&M University, College Station, TX 77843-3368, USA IITP, Moscow 127994, Russia Roumeng Lan Department of Mathematics, Texas A&M University, College Station, TX 77843-3368, USA Panayotis G. Kevrekidis Department of Mathematics and Statistics, University of Massachusetts, Amherst, MA 01003- 4515, USA Avadh Saxena Center for Nonlinear Studies and Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA 1 2 J. -
DOMAIN of NUCLEAR PHYSICS Aryan Singh Lather, M.Sc (Hons.) Physics, Panjab University, Chandigarh
© UNIVERSAL RESEARCH REPORTS | REFEREED | PEER REVIEWED ISSN : 2348 - 5612 | Volume : 05 , Issue : 03 | January – March 2018 DOMAIN OF NUCLEAR PHYSICS Aryan Singh Lather, M.Sc (Hons.) Physics, Panjab University, Chandigarh Abstract: Nuclear physics is the field of physics that studies the building blocks and interactions of atomic nuclei. The most commonly known applications of nuclear physics are nuclear power and nuclear weapons, but the research has provided wider applications, including those in medicine (nuclear medicine, magnetic resonance imaging), materials engineering (ion implantation) and archaeology (radiocarbon dating). The field of particle physics evolved out of nuclear physics and, for this reason, has been included under the same term in earlier times. Keywords: Archaeology, MRI, Radiocarbon dating, Resonance, weapons Introduction: The discovery of the electron by J. J. Thomson was the first indication that the atom had internal structure. At the turn of the 20th century the accepted model of the atom was J. J. Thomson's "plum pudding" model in which the atom was a large positively charged ball with small negatively charged electrons embedded inside of it. By the turn of the century physicists had also discovered three types of radiation coming from atoms, which they named alpha, beta, and gamma radiation. Experiments in 1911 by Lise Meitner and Otto Hahn, and by James Chadwick in 1914 discovered that the beta decay spectrum was continuous rather than discrete. That is, electrons were ejected from the atom with a range of energies, rather than the discrete amounts of energies that were observed in gamma and alpha decays. This was a problem for nuclear physics at the time, because it indicated that energy was not conserved in these decays. -
Edoardo Amaldi and Guido Pizzella
The Origins of Gravitational Wave Research in Italy Adele La Rana (speaker) TERA Foundation & Sapienza University of Rome Luisa Bonolis Max Planck Institute for the History of Science, Berlin ‘A Century of General Relativity’ , MPIWG Conference – 2-5 December 2015, Berlin 1 GWs in Rome: birth of an experimental activity Sapienza University of Rome The first place in Italy where a research activity expressly devoted to GWs starts is Rome. 2 1970: the birth of the gravitational wave group in Rome Key figures: Edoardo Amaldi and Guido Pizzella The group was born between september 1970 and 1971, on the initiative of Edoardo Amaldi and his young assistant Guido Pizzella Guido Pizzella and Edoardo Amaldi at the General Relativity Conference in Padua in 1983. Photo shot by Emilio Segrè. 3 The beginning of GW activity in Amaldi’s words The idea of starting an experiment aiming to detect GW in Rome was stimulated by the Course on Experimental Tests of Gravitational Theories held in summer 1961 at the Scuola Internazionale E.Fermi in Varenna , where the problem was discussed by J.Weber . The program remained rather vague for practical reasons until 1968 ,when W. Fairbank spent a few months in Rome at G.Careri 's low temperature laboratory. When Fairbank mentioned his intention of starting the development of a low temperature gravitational antenna, Careri who was informed for long time of the interest of E. Amaldi in the subject, suggested a first direct contact. This was the beginning of the collaborations between the groups of Stanford (W. Fairbank), Louisiana State University (W. -
The Title of the Dissertation
UNIVERSITY OF CALIFORNIA, SAN DIEGO Philosophical Implications of Inflationary Cosmology A Dissertation submitted in partial satisfaction of the requirements for the degree Doctor of Philosophy in Philosophy by Casey David McCoy Committee in charge: Professor Craig Callender, Chair Professor Nancy Cartwright Professor Brian Keating Professor Kerry McKenzie Professor David Meyer 2016 Copyright Casey David McCoy, 2016 All rights reserved. The Dissertation of Casey David McCoy is approved, and it is acceptable in quality and form for publication on microfilm and electronically: Chair University of California, San Diego 2016 iii DEDICATION I dedicate this dissertation to the inquiring minds of St. John's College, who revealed to me a beautiful life of thought. iv EPIGRAPH The edge of evening...the long curve of people all wishing on the first star.... Always remember those men and women along the thousands of miles of land and sea. The true moment of shadow is the moment in which you see the point of light in the sky. The single point, and the Shadow that has just gathered you in its sweep... |T. Pynchon, Gravity's Rainbow v TABLE OF CONTENTS Signature Page................................... iii Dedication...................................... iv Epigraph......................................v Table of Contents.................................. vi Acknowledgements................................. viii Vita......................................... xi Abstract of the Dissertation............................ xii Introduction.....................................1 Chapter 1 Relativistic Cosmology....................... 15 1.1 Introduction.......................... 15 1.2 Cosmological Models..................... 17 1.2.1 Relativistic Spacetimes................ 19 1.2.2 Universe or Multiverse................ 23 1.2.3 Ranges of Applicability................ 27 1.3 Geometry of the Standard Big Bang Model......... 30 1.3.1 Symmetry Assumptions in Cosmology........ 31 1.3.2 Friedman-Robertson-Walker Spacetimes...... -
Dirac's Quantum Electrodynamics
Dirac’s Quantum Electrodynamics Alexei Kojevnikov Dirac’s relationship with quantum electrodynamics was not an easy one. On the one hand, the theory owes to him much more than to anybody else, especially if one considers the years crucial for its emergence, the late 1920s and early 1930s, when practically all its main concepts, except for that of renormalization, were developed. After this period Dirac also wrote a number of important papers, specifically, on indefinite metrics and quantum dynamics with constraints. On the other hand, since the early 1930s he was an active critic of the theory and tried to develop alternative schemes. He did not become satisfied with the later method of re- normalization and regarded it as a mathematical trick rather than a fundamental solution, and died unreconciled with what, to a large extent, was his own brainchild.1 In the present paper I examine Dirac’s contribution to quantum electrodynamics during the years 1926 to 1933, paying attention to the importance and the specificity of his approach and also tracing the roots of his dissatisfaction with the theory, which goes back to the same time and which, as I see it, in many ways influenced his attitude to its subsequent development. Some of Dirac’s crucial accomplishments of that period, in particular his theory of the relativistic electron, have already been studied by historians in much detail. I will describe them more briefly, placing them in the context of Dirac’s other works and of the general situation in quantum theory and leaving more room for other, less studied works, such as the 1932 Dirac–Fock–Podolsky theory. -
Nuclear Binding Energy From
Introduction to Nuclear Physics (see MIT Introduction to Applied Nuclear Physics 22.02 http://ocw.mit.edu/courses/nuclear-engineering/22-101-applied-nuclear-physics-fall- 2006/lecture-notes/ and Hyperphysics http://hyperphysics.phy-astr.gsu.edu/hbase/hframe.html) Nuclear physics describes nuclear properties, structure and characteristics of nuclei and radiations, radiation sources and interaction with matter. To understand nuclear structure and radiation we study nuclei, nucleons and electrons, as well as miroscopic processes. We apply quantum echanics and special relativity. 1. Nuclear characteristics From Wikipedia https://en.wikipedia.org/wiki/Atomic_nucleus: De la ►►► pana la ◄◄◄ ►►► “The nucleus is the small, dense region consisting of protons andneutrons at the center of an atom. The atomic nucleus was discovered in 1911 by Ernest Rutherford based on the 1909 Geiger–Marsden gold foil experiment. After the discovery of the neutron in 1932, models for a nucleus composed of protons and neutrons were quickly developed by Dmitri Ivanenko[1]and Werner Heisenberg. Almost all of the mass of an atom is located in the nucleus (99.9%), with a very small contribution from the electron cloud. Protons and neutrons are bound together to form a nucleus by the nuclear force. The diameter of the nucleus is in the range of 1.75 fm (1.75×10−15 m) for hydrogen (the diameter of a single proton)[7] to about 15 fm for the heaviest atoms, such as uranium. These dimensions are much smaller than the diameter of the atom itself (nucleus + electron cloud), by a factor of about 23,000 (uranium) to about 145,000 (hydrogen).] The branch of physics concerned with the study and understanding of the atomic nucleus, including its composition and the forces which bind it together, is called nuclear physics.” History Main article: Rutherford model The nucleus was discovered in 1911, as a result of Ernest Rutherford's efforts to test Thomson's "plum pudding model" of the atom.[8] The electron had already been discovered earlier by J.J.