22. Atomic Physics and Quantum Mechanics
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Atom-Light Interaction and Basic Applications
ICTP-SAIFR school 16.-27. of September 2019 on the Interaction of Light with Cold Atoms Lecture on Atom-Light Interaction and Basic Applications Ph.W. Courteille Universidade de S~aoPaulo Instituto de F´ısicade S~aoCarlos 07/01/2021 2 . 3 . 4 Preface The following notes have been prepared for the ICTP-SAIFR school on 'Interaction of Light with Cold Atoms' held 2019 in S~aoPaulo. They are conceived to support an introductory course on 'Atom-Light Interaction and Basic Applications'. The course is divided into 5 lectures. Cold atomic clouds represent an ideal platform for studies of basic phenomena of light-matter interaction. The invention of powerful cooling and trapping techniques for atoms led to an unprecedented experimental control over all relevant degrees of freedom to a point where the interaction is dominated by weak quantum effects. This course reviews the foundations of this area of physics, emphasizing the role of light forces on the atomic motion. Collective and self-organization phenomena arising from a cooperative reaction of many atoms to incident light will be discussed. The course is meant for graduate students and requires basic knowledge of quan- tum mechanics and electromagnetism at the undergraduate level. The lectures will be complemented by exercises proposed at the end of each lecture. The present notes are mostly extracted from some textbooks (see below) and more in-depth scripts which can be consulted for further reading on the website http://www.ifsc.usp.br/∼strontium/ under the menu item 'Teaching' −! 'Cursos 2019-2' −! 'ICTP-SAIFR pre-doctoral school'. The following literature is recommended for preparation and further reading: Ph.W. -
Taxonomy of Belarusian Educational and Research Portal of Nuclear Knowledge
Taxonomy of Belarusian Educational and Research Portal of Nuclear Knowledge S. Sytova� A. Lobko, S. Charapitsa Research Institute for Nuclear Problems, Belarusian State University Abstract The necessity and ways to create Belarusian educational and research portal of nuclear knowledge are demonstrated. Draft tax onomy of portal is presented. 1 Introduction President Dwight D. Eisenhower in December 1953 presented to the UN initiative "Atoms for Peace" on the peaceful use of nuclear technology. Today, many countries have a strong nuclear program, while other ones are in the process of its creation. Nowadays there are about 440 nuclear power plants operating in 30 countries around the world. Nuclear reac tors are used as propulsion systems for more than 400 ships. About 300 research reactors operate in 50 countries. Such reactors allow production of radioisotopes for medical diagnostics and therapy of cancer, neutron sources for research and training. Approximately 55 nuclear power plants are under construction and 110 ones are planned. Belarus now joins the club of countries that have or are building nu clear power plant. Our country has a large scientific potential in the field of atomic and nuclear physics. Hence it is obvious the necessity of cre ation of portal of nuclear knowledge. The purpose of its creation is the accumulation and development of knowledge in the nuclear field as well as popularization of nuclear knowledge for the general public. *E-mail:[email protected] 212 Wisdom, enlightenment Figure 1: Knowledge management 2 Nuclear knowledge Since beginning of the XXI century the International Atomic Energy Agen cy (IAEA) gives big attention to the nuclear knowledge management (NKM) [1]-[3] . -
Chapter 12: Phenomena
Chapter 12: Phenomena Phenomena: Different wavelengths of electromagnetic radiation were directed onto two different metal sample (see picture). Scientists then recorded if any particles were ejected and if so what type of particles as well as the speed of the particle. What patterns do you see in the results that were collected? K Wavelength of Light Where Particles Ejected Speed of Exp. Intensity Directed at Sample Ejected Particle Ejected Particle -7 - 4 푚 1 5.4×10 m Medium Yes e 4.9×10 푠 -8 - 6 푚 2 3.3×10 m High Yes e 3.5×10 푠 3 2.0 m High No N/A N/A 4 3.3×10-8 m Low Yes e- 3.5×106 푚 Electromagnetic 푠 Radiation 5 2.0 m Medium No N/A N/A Ejected Particle -12 - 8 푚 6 6.1×10 m High Yes e 2.7×10 푠 7 5.5×104 m High No N/A N/A Fe Wavelength of Light Where Particles Ejected Speed of Exp. Intensity Directed at Sample Ejected Particle Ejected Particle 1 5.4×10-7 m Medium No N/A N/A -11 - 8 푚 2 3.4×10 m High Yes e 1.1×10 푠 3 3.9×103 m Medium No N/A N/A -8 - 6 푚 4 2.4×10 m High Yes e 4.1×10 푠 5 3.9×103 m Low No N/A N/A -7 - 5 푚 6 2.6×10 m Low Yes e 1.1×10 푠 -11 - 8 푚 7 3.4×10 m Low Yes e 1.1×10 푠 Chapter 12: Quantum Mechanics and Atomic Theory Chapter 12: Quantum Mechanics and Atomic Theory o Electromagnetic Radiation o Quantum Theory o Particle in a Box Big Idea: The structure of atoms o The Hydrogen Atom must be explained o Quantum Numbers using quantum o Orbitals mechanics, a theory in o Many-Electron Atoms which the properties of particles and waves o Periodic Trends merge together. -
Canadian-Built Laser Chills Antimatter to Near Absolute Zero for First Time Researchers Achieve World’S First Manipulation of Antimatter by Laser
UNDER EMBARGO UNTIL 8:00 AM PT ON WED MARCH 31, 2021 DO NOT DISTRIBUTE BEFORE EMBARGO LIFT Canadian-built laser chills antimatter to near absolute zero for first time Researchers achieve world’s first manipulation of antimatter by laser Vancouver, BC – Researchers with the CERN-based ALPHA collaboration have announced the world’s first laser-based manipulation of antimatter, leveraging a made-in-Canada laser system to cool a sample of antimatter down to near absolute zero. The achievement, detailed in an article published today and featured on the cover of the journal Nature, will significantly alter the landscape of antimatter research and advance the next generation of experiments. Antimatter is the otherworldly counterpart to matter; it exhibits near-identical characteristics and behaviours but has opposite charge. Because they annihilate upon contact with matter, antimatter atoms are exceptionally difficult to create and control in our world and had never before been manipulated with a laser. “Today’s results are the culmination of a years-long program of research and engineering, conducted at UBC but supported by partners from across the country,” said Takamasa Momose, the University of British Columbia (UBC) researcher with ALPHA’s Canadian team (ALPHA-Canada) who led the development of the laser. “With this technique, we can address long-standing mysteries like: ‘How does antimatter respond to gravity? Can antimatter help us understand symmetries in physics?’. These answers may fundamentally alter our understanding of our Universe.” Since its introduction 40 years ago, laser manipulation and cooling of ordinary atoms have revolutionized modern atomic physics and enabled several Nobel-winning experiments. -
Introduction to Chemistry
Introduction to Chemistry Author: Tracy Poulsen Digital Proofer Supported by CK-12 Foundation CK-12 Foundation is a non-profit organization with a mission to reduce the cost of textbook Introduction to Chem... materials for the K-12 market both in the U.S. and worldwide. Using an open-content, web-based Authored by Tracy Poulsen collaborative model termed the “FlexBook,” CK-12 intends to pioneer the generation and 8.5" x 11.0" (21.59 x 27.94 cm) distribution of high-quality educational content that will serve both as core text as well as provide Black & White on White paper an adaptive environment for learning. 250 pages ISBN-13: 9781478298601 Copyright © 2010, CK-12 Foundation, www.ck12.org ISBN-10: 147829860X Except as otherwise noted, all CK-12 Content (including CK-12 Curriculum Material) is made Please carefully review your Digital Proof download for formatting, available to Users in accordance with the Creative Commons Attribution/Non-Commercial/Share grammar, and design issues that may need to be corrected. Alike 3.0 Unported (CC-by-NC-SA) License (http://creativecommons.org/licenses/by-nc- sa/3.0/), as amended and updated by Creative Commons from time to time (the “CC License”), We recommend that you review your book three times, with each time focusing on a different aspect. which is incorporated herein by this reference. Specific details can be found at http://about.ck12.org/terms. Check the format, including headers, footers, page 1 numbers, spacing, table of contents, and index. 2 Review any images or graphics and captions if applicable. -
Atomic Physicsphysics AAA Powerpointpowerpointpowerpoint Presentationpresentationpresentation Bybyby Paulpaulpaul E.E.E
ChapterChapter 38C38C -- AtomicAtomic PhysicsPhysics AAA PowerPointPowerPointPowerPoint PresentationPresentationPresentation bybyby PaulPaulPaul E.E.E. Tippens,Tippens,Tippens, ProfessorProfessorProfessor ofofof PhysicsPhysicsPhysics SouthernSouthernSouthern PolytechnicPolytechnicPolytechnic StateStateState UniversityUniversityUniversity © 2007 Objectives:Objectives: AfterAfter completingcompleting thisthis module,module, youyou shouldshould bebe ableable to:to: •• DiscussDiscuss thethe earlyearly modelsmodels ofof thethe atomatom leadingleading toto thethe BohrBohr theorytheory ofof thethe atom.atom. •• DemonstrateDemonstrate youryour understandingunderstanding ofof emissionemission andand absorptionabsorption spectraspectra andand predictpredict thethe wavelengthswavelengths oror frequenciesfrequencies ofof thethe BalmerBalmer,, LymanLyman,, andand PashenPashen spectralspectral series.series. •• CalculateCalculate thethe energyenergy emittedemitted oror absorbedabsorbed byby thethe hydrogenhydrogen atomatom whenwhen thethe electronelectron movesmoves toto aa higherhigher oror lowerlower energyenergy level.level. PropertiesProperties ofof AtomsAtoms ••• AtomsAtomsAtoms areareare stablestablestable andandand electricallyelectricallyelectrically neutral.neutral.neutral. ••• AtomsAtomsAtoms havehavehave chemicalchemicalchemical propertiespropertiesproperties whichwhichwhich allowallowallow themthemthem tototo combinecombinecombine withwithwith otherotherother atoms.atoms.atoms. ••• AtomsAtomsAtoms emitemitemit andandand absorbabsorbabsorb -
Manipulating Atoms with Photons
Manipulating Atoms with Photons Claude Cohen-Tannoudji and Jean Dalibard, Laboratoire Kastler Brossel¤ and Coll`ege de France, 24 rue Lhomond, 75005 Paris, France ¤Unit¶e de Recherche de l'Ecole normale sup¶erieure et de l'Universit¶e Pierre et Marie Curie, associ¶ee au CNRS. 1 Contents 1 Introduction 4 2 Manipulation of the internal state of an atom 5 2.1 Angular momentum of atoms and photons. 5 Polarization selection rules. 6 2.2 Optical pumping . 6 Magnetic resonance imaging with optical pumping. 7 2.3 Light broadening and light shifts . 8 3 Electromagnetic forces and trapping 9 3.1 Trapping of charged particles . 10 The Paul trap. 10 The Penning trap. 10 Applications. 11 3.2 Magnetic dipole force . 11 Magnetic trapping of neutral atoms. 12 3.3 Electric dipole force . 12 Permanent dipole moment: molecules. 12 Induced dipole moment: atoms. 13 Resonant dipole force. 14 Dipole traps for neutral atoms. 15 Optical lattices. 15 Atom mirrors. 15 3.4 The radiation pressure force . 16 Recoil of an atom emitting or absorbing a photon. 16 The radiation pressure in a resonant light wave. 17 Stopping an atomic beam. 17 The magneto-optical trap. 18 4 Cooling of atoms 19 4.1 Doppler cooling . 19 Limit of Doppler cooling. 20 4.2 Sisyphus cooling . 20 Limits of Sisyphus cooling. 22 4.3 Sub-recoil cooling . 22 Subrecoil cooling of free particles. 23 Sideband cooling of trapped ions. 23 Velocity scales for laser cooling. 25 2 5 Applications of ultra-cold atoms 26 5.1 Atom clocks . 26 5.2 Atom optics and interferometry . -
Lorentz's Electromagnetic Mass: a Clue for Unification?
Lorentz’s Electromagnetic Mass: A Clue for Unification? Saibal Ray Department of Physics, Barasat Government College, Kolkata 700 124, India; Inter-University Centre for Astronomy and Astrophysics, Pune 411 007, India; e-mail: [email protected] Abstract We briefly review in the present article the conjecture of electromagnetic mass by Lorentz. The philosophical perspectives and historical accounts of this idea are described, especially, in the light of Einstein’s special relativistic formula E = mc2. It is shown that the Lorentz’s elec- tromagnetic mass model has taken various shapes through its journey and the goal is not yet reached. Keywords: Lorentz conjecture, Electromagnetic mass, World view of mass. 1. Introduction The Nobel Prize in Physics 2004 has been awarded to D. J. Gross, F. Wilczek and H. D. Politzer [1,2] “for the discovery of asymptotic freedom in the theory of the strong interaction” which was published three decades ago in 1973. This is commonly known as the Standard Model of mi- crophysics (must not be confused with the other Standard Model of macrophysics - the Hot Big Bang!). In this Standard Model of quarks, the coupling strength of forces depends upon distances. Hence it is possible to show that, at distances below 10−32 m, the strong, weak and electromagnetic interactions are “different facets of one universal interaction”[3,4]. This instantly reminds us about another Nobel Prize award in 1979 when S. Glashow, A. Salam and S. Weinberg received it “for their contributions to the theory of the unified weak and electro- magnetic interaction between elementary particles, including, inter alia, the prediction of the arXiv:physics/0411127v4 [physics.hist-ph] 31 Jul 2007 weak neutral current”. -
Lectures on Atomic Physics
Lectures on Atomic Physics Walter R. Johnson Department of Physics, University of Notre Dame Notre Dame, Indiana 46556, U.S.A. January 4, 2006 Contents Preface xi 1 Angular Momentum 1 1.1 Orbital Angular Momentum - Spherical Harmonics . 1 1.1.1 Quantum Mechanics of Angular Momentum . 2 1.1.2 Spherical Coordinates - Spherical Harmonics . 4 1.2 Spin Angular Momentum . 7 1.2.1 Spin 1=2 and Spinors . 7 1.2.2 In¯nitesimal Rotations of Vector Fields . 9 1.2.3 Spin 1 and Vectors . 10 1.3 Clebsch-Gordan Coe±cients . 11 1.3.1 Three-j symbols . 15 1.3.2 Irreducible Tensor Operators . 17 1.4 Graphical Representation - Basic rules . 19 1.5 Spinor and Vector Spherical Harmonics . 21 1.5.1 Spherical Spinors . 21 1.5.2 Vector Spherical Harmonics . 23 2 Central-Field SchrÄodinger Equation 25 2.1 Radial SchrÄodinger Equation . 25 2.2 Coulomb Wave Functions . 27 2.3 Numerical Solution to the Radial Equation . 31 2.3.1 Adams Method (adams) . 33 2.3.2 Starting the Outward Integration (outsch) . 36 2.3.3 Starting the Inward Integration (insch) . 38 2.3.4 Eigenvalue Problem (master) . 39 2.4 Quadrature Rules (rint) . 41 2.5 Potential Models . 44 2.5.1 Parametric Potentials . 45 2.5.2 Thomas-Fermi Potential . 46 2.6 Separation of Variables for Dirac Equation . 51 2.7 Radial Dirac Equation for a Coulomb Field . 52 2.8 Numerical Solution to Dirac Equation . 57 2.8.1 Outward and Inward Integrations (adams, outdir, indir) 57 i ii CONTENTS 2.8.2 Eigenvalue Problem for Dirac Equation (master) . -
Atomic Theory - Review Sheet
Atomic Theory - Review Sheet You should understand the contribution of each scientist. I don't expect you to memorize dates, but I do want to know what each scientist contributed to the theory. Democretus - 400 B.C. - theory that matter is made of atoms Boyle 1622 -1691 - defined element Lavoisier 1743-1797 - pioneer of modern chemistry (careful and controlled experiments) - conservation of mass (understand his experiment and compare to the lab "Does mass change in a chemical reaction?") Proust 1799 - law of constant composition (or definite proportions) - understand this law and relate it to the Hydrogen and Oxygen generation lab Dalton 1808 - Understand the meaning of each part of Dalton's atomic theory. - You don't have to memorize the five parts, just understand what they mean. - You should know which parts we now know are not true (according to modern atomic theory). Black Box Model Crookes 1870 - Crookes tube - Know how this is constructed (Know how cathode rays are generated and what they are.) J.J. Thomsen - 1890 - How did he expand on Crookes' experiment? - discovered the electron - negative particles in all of matter (all atoms) - must also be positive parts Lord Kelvin - near Thomsen's time Plum Pudding Model - plum pudding model Henri Becquerel - 1896 - discovered radioactivity of uranium Marie Curie - 1905 - received Nobel prize (shared with her husband Pierre Curie and Henri Bequerel) for her work in studying radiation. - Name the three kinds of radiation and describe each type. Rutheford - 1910 - Understand the gold foil experiment - How was it set up? - What did it show? - Discovered the proton Hard Nucleus Model - new model of atom (positively charged, very dense nucleus) Niels Bohr - 1913 - Bohr model of the atom - electrons in specific orbits with specific energies James Chadwick - 1932 - discovered the electron Modern version of atom - 1950 Bohr Model - similar nucleus (protons + neutrons) - electrons in orbitals not orbits Bohr Model Understand isotopes, atomic mass, mass #, atomic #, ions (with neutrons) Nature of light - wavelength vs. -
Atomic Physics
Atomic Physics P. Ewart Contents 1 Introduction 1 2 Radiation and Atoms 1 2.1 Width and Shape of Spectral Lines ............................. 2 2.1.1 Lifetime Broadening ................................. 2 2.1.2 Collision or Pressure Broadening .......................... 3 2.1.3 Doppler Broadening ................................. 3 2.2 Atomic Orders of Magnitude ................................ 4 2.2.1 Other important Atomic quantities ......................... 5 2.3 The Central Field Approximation .............................. 5 2.4 The form of the Central Field ................................ 6 2.5 Finding the Central Field .................................. 7 3 The Central Field Approximation 9 3.1 The Physics of the Wave Functions ............................. 9 3.1.1 Energy ......................................... 9 3.1.2 Angular Momentum ................................. 10 3.1.3 Radial wavefunctions ................................. 12 3.1.4 Parity ......................................... 12 3.2 Multi-electron atoms ..................................... 13 3.2.1 Electron Configurations ............................... 13 3.2.2 The Periodic Table .................................. 13 3.3 Gross Energy Level Structure of the Alkalis: Quantum Defect .............. 15 4 Corrections to the Central Field: Spin-Orbit interaction 17 4.1 The Physics of Spin-Orbit Interaction ........................... 17 4.2 Finding the Spin-Orbit Correction to the Energy ..................... 19 4.2.1 The B-Field due to Orbital Motion ........................ -
Chapter 11: Modernatomictheory 105
CHAPTER 11 Modern Atomic Theory INTRODUCTION It is difficult to form a mental image of atoms because we can’t see them. Scientists have produced models that account for the behavior of atoms by making observations about the properties of atoms. So we know quite a bit about these tiny particles which make up matter even though we cannot see them. In this chapter you will learn how chemists believe atoms are structured. CHAPTER DISCUSSION This is yet another chapter in which models play a significant role. Recall that we like models to be simple, but we also need models to explain the questions we want to answer. For example, Dalton’s model of the atom has the advantage of being quite simple and is useful when considering molecular- level views of solids, liquids, and gases and in representing chemical equations. However, it cannot explain fundamental questions such as why atoms “stick” together to form molecules. Scientists such as Thomson and Rutherford expanded the model of the atom to include subatomic particles. The model is more complicated than Dalton’s, but it begins to explain chemical reactivity (electrons are involved) and formulas for ionic compounds. But questions still abound. For example, why are there similarities in reactivities of elements (periodic trends)? To begin our understanding of modern atomic theory, let’s first discuss some observations. For example, you have undoubtedly seen a fireworks display, either in person or on television. Where do the colors come from? How do we get so many different colors? It turns out that different salts, when heated, give off different colors.