JJ Thomson and the Electron
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Cathode Rays 89 Cathode Rays
Cathode Rays 89 Cathode Rays Theodore Arabatzis C The detection of cathode rays was a by-product of the investigation of the discharge of electricity through rarefied gases. The latter phenomenon had been studied since the early eighteenth century. By the middle of the nineteenth century it was known that the passage of electricity through a partly evacuated tube produced a glow in the gas, whose color depended on its chemical composition and its pressure. Below a certain pressure the glow assumed a stratified pattern of bright and dark bands. During the second half of the nineteenth century the discharge of electricity through gases became a topic of intense exploratory experimentation, primarily in Germany [21]. In 1855 the German instrument maker Heinrich Geißler (1815– 1879) manufactured improved vacuum tubes, which made possible the isolation and investigation of cathode rays [23]. In 1857 Geissler’s tubes were employed by Julius Pl¨ucker (1801–1868) to study the influence of a magnet on the electrical dis- charge. He observed various complex and striking phenomena associated with the discharge. Among those phenomena were a “light which appears about the negative electrode” and a fluorescence in the glass of the tube ([9], pp. 122, 130). The understanding of those phenomena was advanced by Pl¨ucker’s student and collaborator, Johann Wilhelm Hittorf (1824–1914), who observed that “if any ob- ject is interposed in the space filled with glow-light [emanating from the negative electrode], it throws a sharp shadow on the fluorescent side” ([5], p. 117). This effect implied that the “rays” emanating from the cathode followed a straight path. -
Hendrik Antoon Lorentz's Struggle with Quantum Theory A. J
Hendrik Antoon Lorentz’s struggle with quantum theory A. J. Kox Archive for History of Exact Sciences ISSN 0003-9519 Volume 67 Number 2 Arch. Hist. Exact Sci. (2013) 67:149-170 DOI 10.1007/s00407-012-0107-8 1 23 Your article is published under the Creative Commons Attribution license which allows users to read, copy, distribute and make derivative works, as long as the author of the original work is cited. You may self- archive this article on your own website, an institutional repository or funder’s repository and make it publicly available immediately. 1 23 Arch. Hist. Exact Sci. (2013) 67:149–170 DOI 10.1007/s00407-012-0107-8 Hendrik Antoon Lorentz’s struggle with quantum theory A. J. Kox Received: 15 June 2012 / Published online: 24 July 2012 © The Author(s) 2012. This article is published with open access at Springerlink.com Abstract A historical overview is given of the contributions of Hendrik Antoon Lorentz in quantum theory. Although especially his early work is valuable, the main importance of Lorentz’s work lies in the conceptual clarifications he provided and in his critique of the foundations of quantum theory. 1 Introduction The Dutch physicist Hendrik Antoon Lorentz (1853–1928) is generally viewed as an icon of classical, nineteenth-century physics—indeed, as one of the last masters of that era. Thus, it may come as a bit of a surprise that he also made important contribu- tions to quantum theory, the quintessential non-classical twentieth-century develop- ment in physics. The importance of Lorentz’s work lies not so much in his concrete contributions to the actual physics—although some of his early work was ground- breaking—but rather in the conceptual clarifications he provided and his critique of the foundations and interpretations of the new ideas. -
Rutherford's Nuclear World: the Story of the Discovery of the Nuc
Rutherford's Nuclear World: The Story of the Discovery of the Nuc... http://www.aip.org/history/exhibits/rutherford/sections/atop-physic... HOME SECTIONS CREDITS EXHIBIT HALL ABOUT US rutherford's explore the atom learn more more history of learn about aip's nuclear world with rutherford about this site physics exhibits history programs Atop the Physics Wave ShareShareShareShareShareMore 9 RUTHERFORD BACK IN CAMBRIDGE, 1919–1937 Sections ← Prev 1 2 3 4 5 Next → In 1962, John Cockcroft (1897–1967) reflected back on the “Miraculous Year” ( Annus mirabilis ) of 1932 in the Cavendish Laboratory: “One month it was the neutron, another month the transmutation of the light elements; in another the creation of radiation of matter in the form of pairs of positive and negative electrons was made visible to us by Professor Blackett's cloud chamber, with its tracks curled some to the left and some to the right by powerful magnetic fields.” Rutherford reigned over the Cavendish Lab from 1919 until his death in 1937. The Cavendish Lab in the 1920s and 30s is often cited as the beginning of modern “big science.” Dozens of researchers worked in teams on interrelated problems. Yet much of the work there used simple, inexpensive devices — the sort of thing Rutherford is famous for. And the lab had many competitors: in Paris, Berlin, and even in the U.S. Rutherford became Cavendish Professor and director of the Cavendish Laboratory in 1919, following the It is tempting to simplify a complicated story. Rutherford directed the Cavendish Lab footsteps of J.J. Thomson. Rutherford died in 1937, having led a first wave of discovery of the atom. -
Cathode-Ray Tube Displays for Medical Imaging
DIGITAL IMAGING BASICS Cathode-Ray Tube Displays for Medical Imaging Peter A. Keller This paper will discuss the principles of cathode-ray crease the velocity of the electron beam for tube displays in medical imaging and the parameters increased light output from the screen; essential to the selection of displays for specific 4. a focusing section to bring the electron requirements. A discussion of cathode-ray tube fun- beam to a sharp focus at the screen; damentals and medical requirements is included. 9 1990bu W.B. Saunders Company. 5. a deflection system to position the electron beam to a desired location on the screen or KEY WORDS: displays, cathode ray tube, medical scan the beam in a repetitive pattern; and irnaging, high resolution. 6. a phosphor screen to convert the invisible electron beam to visible light. he cathode-ray tube (CRT) is the heart of The assembly of electrodes or elements mounted T almost every medical display and its single within the neck of the CRT is commonly known most costly component. Brightness, resolution, as the "electron gun" (Fig 2). This is a good color, contrast, life, cost, and viewer comfort are analogy, because it is the function of the electron gun to "shoot" a beam of electrons toward the all strongly influenced by the selection of a screen or target. The velocity of the electron particular CRT by the display designer. These beam is a function of the overall accelerating factors are especially important for displays used voltage applied to the tube. For a CRT operating for medical diagnosis in which patient safety and at an accelerating voltage of 20,000 V, the comfort hinge on the ability of the display to electron velocity at the screen is about present easily readable, high-resolution images 250,000,000 mph, or about 37% of the velocity of accurately and rapidly. -
Quantum Theory of the Hydrogen Atom
Quantum Theory of the Hydrogen Atom Chemistry 35 Fall 2000 Balmer and the Hydrogen Spectrum n 1885: Johann Balmer, a Swiss schoolteacher, empirically deduced a formula which predicted the wavelengths of emission for Hydrogen: l (in Å) = 3645.6 x n2 for n = 3, 4, 5, 6 n2 -4 •Predicts the wavelengths of the 4 visible emission lines from Hydrogen (which are called the Balmer Series) •Implies that there is some underlying order in the atom that results in this deceptively simple equation. 2 1 The Bohr Atom n 1913: Niels Bohr uses quantum theory to explain the origin of the line spectrum of hydrogen 1. The electron in a hydrogen atom can exist only in discrete orbits 2. The orbits are circular paths about the nucleus at varying radii 3. Each orbit corresponds to a particular energy 4. Orbit energies increase with increasing radii 5. The lowest energy orbit is called the ground state 6. After absorbing energy, the e- jumps to a higher energy orbit (an excited state) 7. When the e- drops down to a lower energy orbit, the energy lost can be given off as a quantum of light 8. The energy of the photon emitted is equal to the difference in energies of the two orbits involved 3 Mohr Bohr n Mathematically, Bohr equated the two forces acting on the orbiting electron: coulombic attraction = centrifugal accelleration 2 2 2 -(Z/4peo)(e /r ) = m(v /r) n Rearranging and making the wild assumption: mvr = n(h/2p) n e- angular momentum can only have certain quantified values in whole multiples of h/2p 4 2 Hydrogen Energy Levels n Based on this model, Bohr arrived at a simple equation to calculate the electron energy levels in hydrogen: 2 En = -RH(1/n ) for n = 1, 2, 3, 4, . -
Philosophical Rhetoric in Early Quantum Mechanics, 1925-1927
b1043_Chapter-2.4.qxd 1/27/2011 7:30 PM Page 319 b1043 Quantum Mechanics and Weimar Culture FA 319 Philosophical Rhetoric in Early Quantum Mechanics 1925–27: High Principles, Cultural Values and Professional Anxieties Alexei Kojevnikov* ‘I look on most general reasoning in science as [an] opportunistic (success- or unsuccessful) relationship between conceptions more or less defined by other conception[s] and helping us to overlook [danicism for “survey”] things.’ Niels Bohr (1919)1 This paper considers the role played by philosophical conceptions in the process of the development of quantum mechanics, 1925–1927, and analyses stances taken by key participants on four main issues of the controversy (Anschaulichkeit, quantum discontinuity, the wave-particle dilemma and causality). Social and cultural values and anxieties at the time of general crisis, as identified by Paul Forman, strongly affected the language of the debate. At the same time, individual philosophical positions presented as strongly-held principles were in fact flexible and sometimes reversible to almost their opposites. One can understand the dynamics of rhetorical shifts and changing strategies, if one considers interpretational debates as a way * Department of History, University of British Columbia, 1873 East Mall, Vancouver, British Columbia, Canada V6T 1Z1; [email protected]. The following abbreviations are used: AHQP, Archive for History of Quantum Physics, NBA, Copenhagen; AP, Annalen der Physik; HSPS, Historical Studies in the Physical Sciences; NBA, Niels Bohr Archive, Niels Bohr Institute, Copenhagen; NW, Die Naturwissenschaften; PWB, Wolfgang Pauli, Wissenschaftlicher Briefwechsel mit Bohr, Einstein, Heisenberg a.o., Band I: 1919–1929, ed. A. Hermann, K.V. -
Einstein's Mistakes
Einstein’s Mistakes Einstein was the greatest genius of the Twentieth Century, but his discoveries were blighted with mistakes. The Human Failing of Genius. 1 PART 1 An evaluation of the man Here, Einstein grows up, his thinking evolves, and many quotations from him are listed. Albert Einstein (1879-1955) Einstein at 14 Einstein at 26 Einstein at 42 3 Albert Einstein (1879-1955) Einstein at age 61 (1940) 4 Albert Einstein (1879-1955) Born in Ulm, Swabian region of Southern Germany. From a Jewish merchant family. Had a sister Maja. Family rejected Jewish customs. Did not inherit any mathematical talent. Inherited stubbornness, Inherited a roguish sense of humor, An inclination to mysticism, And a habit of grüblen or protracted, agonizing “brooding” over whatever was on its mind. Leading to the thought experiment. 5 Portrait in 1947 – age 68, and his habit of agonizing brooding over whatever was on its mind. He was in Princeton, NJ, USA. 6 Einstein the mystic •“Everyone who is seriously involved in pursuit of science becomes convinced that a spirit is manifest in the laws of the universe, one that is vastly superior to that of man..” •“When I assess a theory, I ask myself, if I was God, would I have arranged the universe that way?” •His roguish sense of humor was always there. •When asked what will be his reactions to observational evidence against the bending of light predicted by his general theory of relativity, he said: •”Then I would feel sorry for the Good Lord. The theory is correct anyway.” 7 Einstein: Mathematics •More quotations from Einstein: •“How it is possible that mathematics, a product of human thought that is independent of experience, fits so excellently the objects of physical reality?” •Questions asked by many people and Einstein: •“Is God a mathematician?” •His conclusion: •“ The Lord is cunning, but not malicious.” 8 Einstein the Stubborn Mystic “What interests me is whether God had any choice in the creation of the world” Some broadcasters expunged the comment from the soundtrack because they thought it was blasphemous. -
Philosophical Magazine Vol
Philosophical Magazine Vol. 92, Nos. 1–3, 1–21 January 2012, 353–361 Exploring models of associative memory via cavity quantum electrodynamics Sarang Gopalakrishnana, Benjamin L. Levb and Paul M. Goldbartc* aDepartment of Physics, University of Illinois at Urbana-Champaign, 1110 West Green Street Urbana, Illinois 61801, USA; bDepartments of Applied Physics and Physics and E. L. Ginzton Laboratory, Stanford University, Stanford, CA 94305, USA; cSchool of Physics, Georgia Institute of Technology, 837 State Street, Atlanta, GA 30332, USA (Received 2 August 2011; final version received 24 October 2011) Photons in multimode optical cavities can be used to mediate tailored interactions between atoms confined in the cavities. For atoms possessing multiple internal (i.e., ‘‘spin’’) states, the spin–spin interactions mediated by the cavity are analogous in structure to the Ruderman–Kittel–Kasuya– Yosida (RKKY) interaction between localized spins in metals. Thus, in particular, it is possible to use atoms in cavities to realize models of frustrated and/or disordered spin systems, including models that can be mapped on to the Hopfield network model and related models of associative memory. We explain how this realization of models of associative memory comes about and discuss ways in which the properties of these models can be probed in a cavity-based setting. Keywords: disordered systems; magnetism; statistical physics; ultracold atoms; neural networks; spin glasses 1. Introductory remarks Since the development of laser cooling and trapping, a -
Appendix F. Glossary
Appendix F. Glossary 2DEG 2-dimensional electron gas A/D Analog to digital AAAR American Association for Aerosol Research ADC Analog-digital converter AEM Analytical electron microscopy AFM Atomic force microscope/microscopy AFOSR Air Force Office of Scientific Research AIST (Japan) Agency of Industrial Science and Technology AIST (Japan, MITI) Agency of Industrial Science and Technology AMLCD Active matrix liquid crystal display AMM Amorphous microporous mixed (oxides) AMO Atomic, molecular, and optical AMR Anisotropic magnetoresistance ARO (U.S.) Army Research Office ARPES Angle-resolved photoelectron spectroscopy ASET (Japan) Association of Super-Advanced Electronics Technologies ASTC Australia Science and Technology Council ATP (Japan) Angstrom Technology Partnership ATP Adenosine triphosphate B Magnetic flux density B/H loop Closed figure showing B (magnetic flux density) compared to H (magnetic field strength) in a magnetizable material—also called hysteresis loop bcc Body-centered cubic BMBF (Germany) Ministry of Education, Science, Research, and Technology (formerly called BMFT) BOD-FF Bond-order-dependent force field BRITE/EURAM Basic Research of Industrial Technologies for Europe, European Research on Advanced Materials program CAD Computer-assisted design CAIBE Chemically assisted ion beam etching CBE Chemical beam epitaxy 327 328 Appendix F. Glossary CBED Convergent beam electron diffraction cermet Ceramic/metal composite CIP Cold isostatic press CMOS Complementary metal-oxide semiconductor CMP Chemical mechanical polishing -
Evolution of Mathematics: a Brief Sketch
Open Access Journal of Mathematical and Theoretical Physics Mini Review Open Access Evolution of mathematics: a brief sketch Ancient beginnings: numbers and figures Volume 1 Issue 6 - 2018 It is no exaggeration that Mathematics is ubiquitously Sujit K Bose present in our everyday life, be it in our school, play ground, SN Bose National Center for Basic Sciences, Kolkata mobile number and so on. But was that the case in prehistoric times, before the dawn of civilization? Necessity is the mother Correspondence: Sujit K Bose, Professor of Mathematics (retired), SN Bose National Center for Basic Sciences, Kolkata, of invenp tion or discovery and evolution in this case. So India, Email mathematical concepts must have been seen through or created by those who could, and use that to derive benefit from the Received: October 12, 2018 | Published: December 18, 2018 discovery. The creative process of discovery and later putting that to use must have been arduous and slow. I try to look back from my limited Indian perspective, and reflect up on what might have been the course taken up by mathematics during 10, 11, 12, 13, etc., giving place value to each digit. The barrier the long journey, since ancient times. of writing very large numbers was thus broken. For instance, the numbers mentioned in Yajur Veda could easily be represented A very early method necessitated for counting of objects as Dasha 10, Shata (102), Sahsra (103), Ayuta (104), Niuta (enumeration) was the Tally Marks used in the late Stone Age. In (105), Prayuta (106), ArA bud (107), Nyarbud (108), Samudra some parts of Europe, Africa and Australia the system consisted (109), Madhya (1010), Anta (1011) and Parartha (1012). -
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. -
Rydberg Constant and Emission Spectra of Gases
Page 1 of 10 Rydberg constant and emission spectra of gases ONE WEIGHT RECOMMENDED READINGS 1. R. Harris. Modern Physics, 2nd Ed. (2008). Sections 4.6, 7.3, 8.9. 2. Atomic Spectra line database https://physics.nist.gov/PhysRefData/ASD/lines_form.html OBJECTIVE - Calibrating a prism spectrometer to convert the scale readings in wavelengths of the emission spectral lines. - Identifying an "unknown" gas by measuring its spectral lines wavelengths. - Calculating the Rydberg constant RH. - Finding a separation of spectral lines in the yellow doublet of the sodium lamp spectrum. INSTRUCTOR’S EXPECTATIONS In the lab report it is expected to find the following parts: - Brief overview of the Bohr’s theory of hydrogen atom and main restrictions on its application. - Description of the setup including its main parts and their functions. - Description of the experiment procedure. - Table with readings of the vernier scale of the spectrometer and corresponding wavelengths of spectral lines of hydrogen and helium. - Calibration line for the function “wavelength vs reading” with explanation of the fitting procedure and values of the parameters of the fit with their uncertainties. - Calculated Rydberg constant with its uncertainty. - Description of the procedure of identification of the unknown gas and statement about the gas. - Calculating resolution of the spectrometer with the yellow doublet of sodium spectrum. INTRODUCTION In this experiment, linear emission spectra of discharge tubes are studied. The discharge tube is an evacuated glass tube filled with a gas or a vapor. There are two conductors – anode and cathode - soldered in the ends of the tube and connected to a high-voltage power source outside the tube.