When the Atom Went Quantum
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Glossary Physics (I-Introduction)
1 Glossary Physics (I-introduction) - Efficiency: The percent of the work put into a machine that is converted into useful work output; = work done / energy used [-]. = eta In machines: The work output of any machine cannot exceed the work input (<=100%); in an ideal machine, where no energy is transformed into heat: work(input) = work(output), =100%. Energy: The property of a system that enables it to do work. Conservation o. E.: Energy cannot be created or destroyed; it may be transformed from one form into another, but the total amount of energy never changes. Equilibrium: The state of an object when not acted upon by a net force or net torque; an object in equilibrium may be at rest or moving at uniform velocity - not accelerating. Mechanical E.: The state of an object or system of objects for which any impressed forces cancels to zero and no acceleration occurs. Dynamic E.: Object is moving without experiencing acceleration. Static E.: Object is at rest.F Force: The influence that can cause an object to be accelerated or retarded; is always in the direction of the net force, hence a vector quantity; the four elementary forces are: Electromagnetic F.: Is an attraction or repulsion G, gravit. const.6.672E-11[Nm2/kg2] between electric charges: d, distance [m] 2 2 2 2 F = 1/(40) (q1q2/d ) [(CC/m )(Nm /C )] = [N] m,M, mass [kg] Gravitational F.: Is a mutual attraction between all masses: q, charge [As] [C] 2 2 2 2 F = GmM/d [Nm /kg kg 1/m ] = [N] 0, dielectric constant Strong F.: (nuclear force) Acts within the nuclei of atoms: 8.854E-12 [C2/Nm2] [F/m] 2 2 2 2 2 F = 1/(40) (e /d ) [(CC/m )(Nm /C )] = [N] , 3.14 [-] Weak F.: Manifests itself in special reactions among elementary e, 1.60210 E-19 [As] [C] particles, such as the reaction that occur in radioactive decay. -
Quantum Field Theory*
Quantum Field Theory y Frank Wilczek Institute for Advanced Study, School of Natural Science, Olden Lane, Princeton, NJ 08540 I discuss the general principles underlying quantum eld theory, and attempt to identify its most profound consequences. The deep est of these consequences result from the in nite number of degrees of freedom invoked to implement lo cality.Imention a few of its most striking successes, b oth achieved and prosp ective. Possible limitation s of quantum eld theory are viewed in the light of its history. I. SURVEY Quantum eld theory is the framework in which the regnant theories of the electroweak and strong interactions, which together form the Standard Mo del, are formulated. Quantum electro dynamics (QED), b esides providing a com- plete foundation for atomic physics and chemistry, has supp orted calculations of physical quantities with unparalleled precision. The exp erimentally measured value of the magnetic dip ole moment of the muon, 11 (g 2) = 233 184 600 (1680) 10 ; (1) exp: for example, should b e compared with the theoretical prediction 11 (g 2) = 233 183 478 (308) 10 : (2) theor: In quantum chromo dynamics (QCD) we cannot, for the forseeable future, aspire to to comparable accuracy.Yet QCD provides di erent, and at least equally impressive, evidence for the validity of the basic principles of quantum eld theory. Indeed, b ecause in QCD the interactions are stronger, QCD manifests a wider variety of phenomena characteristic of quantum eld theory. These include esp ecially running of the e ective coupling with distance or energy scale and the phenomenon of con nement. -
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. -
Wave-Particle Duality Relation with a Quantum Which-Path Detector
entropy Article Wave-Particle Duality Relation with a Quantum Which-Path Detector Dongyang Wang , Junjie Wu * , Jiangfang Ding, Yingwen Liu, Anqi Huang and Xuejun Yang Institute for Quantum Information & State Key Laboratory of High Performance Computing, College of Computer Science and Technology, National University of Defense Technology, Changsha 410073, China; [email protected] (D.W.); [email protected] (J.D.); [email protected] (Y.L.); [email protected] (A.H.); [email protected] (X.Y.) * Correspondence: [email protected] Abstract: According to the relevant theories on duality relation, the summation of the extractable information of a quanton’s wave and particle properties, which are characterized by interference visibility V and path distinguishability D, respectively, is limited. However, this relation is violated upon quantum superposition between the wave-state and particle-state of the quanton, which is caused by the quantum beamsplitter (QBS). Along another line, recent studies have considered quantum coherence C in the l1-norm measure as a candidate for the wave property. In this study, we propose an interferometer with a quantum which-path detector (QWPD) and examine the generalized duality relation based on C. We find that this relationship still holds under such a circumstance, but the interference between these two properties causes the full-particle property to be observed when the QWPD system is partially present. Using a pair of polarization-entangled photons, we experimentally verify our analysis in the two-path case. This study extends the duality relation between coherence and path information to the quantum case and reveals the effect of quantum superposition on the duality relation. -
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. -
Defense Primer: Quantum Technology
Updated June 7, 2021 Defense Primer: Quantum Technology Quantum technology translates the principles of quantum Successful development and deployment of such sensors physics into technological applications. In general, quantum could lead to significant improvements in submarine technology has not yet reached maturity; however, it could detection and, in turn, compromise the survivability of sea- hold significant implications for the future of military based nuclear deterrents. Quantum sensors could also sensing, encryption, and communications, as well as for enable military personnel to detect underground structures congressional oversight, authorizations, and appropriations. or nuclear materials due to their expected “extreme sensitivity to environmental disturbances.” The sensitivity Key Concepts in Quantum Technology of quantum sensors could similarly potentially enable Quantum applications rely on a number of key concepts, militaries to detect electromagnetic emissions, thus including superposition, quantum bits (qubits), and enhancing electronic warfare capabilities and potentially entanglement. Superposition refers to the ability of quantum assisting in locating concealed adversary forces. systems to exist in two or more states simultaneously. A qubit is a computing unit that leverages the principle of The DSB concluded that quantum radar, hypothesized to be superposition to encode information. (A classical computer capable of identifying the performance characteristics (e.g., encodes information in bits that can represent binary -
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 -
Zero-Point Energy and Interstellar Travel by Josh Williams
;;;;;;;;;;;;;;;;;;;;;; itself comes from the conversion of electromagnetic Zero-Point Energy and radiation energy into electrical energy, or more speciÞcally, the conversion of an extremely high Interstellar Travel frequency bandwidth of the electromagnetic spectrum (beyond Gamma rays) now known as the zero-point by Josh Williams spectrum. ÒEre many generations pass, our machinery will be driven by power obtainable at any point in the universeÉ it is a mere question of time when men will succeed in attaching their machinery to the very wheel work of nature.Ó ÐNikola Tesla, 1892 Some call it the ultimate free lunch. Others call it absolutely useless. But as our world civilization is quickly coming upon a terrifying energy crisis with As you can see, the wavelengths from this part of little hope at the moment, radical new ideas of usable the spectrum are incredibly small, literally atomic and energy will be coming to the forefront and zero-point sub-atomic in size. And since the wavelength is so energy is one that is currently on its way. small, it follows that the frequency is quite high. The importance of this is that the intensity of the energy So, what the hell is it? derived for zero-point energy has been reported to be Zero-point energy is a type of energy that equal to the cube (the third power) of the frequency. exists in molecules and atoms even at near absolute So obviously, since weÕre already talking about zero temperatures (-273¡C or 0 K) in a vacuum. some pretty high frequencies with this portion of At even fractions of a Kelvin above absolute zero, the electromagnetic spectrum, weÕre talking about helium still remains a liquid, and this is said to be some really high energy intensities. -
The Concept of the Photon—Revisited
The concept of the photon—revisited Ashok Muthukrishnan,1 Marlan O. Scully,1,2 and M. Suhail Zubairy1,3 1Institute for Quantum Studies and Department of Physics, Texas A&M University, College Station, TX 77843 2Departments of Chemistry and Aerospace and Mechanical Engineering, Princeton University, Princeton, NJ 08544 3Department of Electronics, Quaid-i-Azam University, Islamabad, Pakistan The photon concept is one of the most debated issues in the history of physical science. Some thirty years ago, we published an article in Physics Today entitled “The Concept of the Photon,”1 in which we described the “photon” as a classical electromagnetic field plus the fluctuations associated with the vacuum. However, subsequent developments required us to envision the photon as an intrinsically quantum mechanical entity, whose basic physics is much deeper than can be explained by the simple ‘classical wave plus vacuum fluctuations’ picture. These ideas and the extensions of our conceptual understanding are discussed in detail in our recent quantum optics book.2 In this article we revisit the photon concept based on examples from these sources and more. © 2003 Optical Society of America OCIS codes: 270.0270, 260.0260. he “photon” is a quintessentially twentieth-century con- on are vacuum fluctuations (as in our earlier article1), and as- Tcept, intimately tied to the birth of quantum mechanics pects of many-particle correlations (as in our recent book2). and quantum electrodynamics. However, the root of the idea Examples of the first are spontaneous emission, Lamb shift, may be said to be much older, as old as the historical debate and the scattering of atoms off the vacuum field at the en- on the nature of light itself – whether it is a wave or a particle trance to a micromaser. -
22. Atomic Physics and Quantum Mechanics
22. Atomic Physics and Quantum Mechanics S. Teitel April 14, 2009 Most of what you have been learning this semester and last has been 19th century physics. Indeed, Maxwell's theory of electromagnetism, combined with Newton's laws of mechanics, seemed at that time to express virtually a complete \solution" to all known physical problems. However, already by the 1890's physicists were grappling with certain experimental observations that did not seem to fit these existing theories. To explain these puzzling phenomena, the early part of the 20th century witnessed revolutionary new ideas that changed forever our notions about the physical nature of matter and the theories needed to explain how matter behaves. In this lecture we hope to give the briefest introduction to some of these ideas. 1 Photons You have already heard in lecture 20 about the photoelectric effect, in which light shining on the surface of a metal results in the emission of electrons from that surface. To explain the observed energies of these emitted elec- trons, Einstein proposed in 1905 that the light (which Maxwell beautifully explained as an electromagnetic wave) should be viewed as made up of dis- crete particles. These particles were called photons. The energy of a photon corresponding to a light wave of frequency f is given by, E = hf ; where h = 6:626×10−34 J · s is a new fundamental constant of nature known as Planck's constant. The total energy of a light wave, consisting of some particular number n of photons, should therefore be quantized in integer multiples of the energy of the individual photon, Etotal = nhf. -
Quantum Information Science
Quantum Information Science Seth Lloyd Professor of Quantum-Mechanical Engineering Director, WM Keck Center for Extreme Quantum Information Theory (xQIT) Massachusetts Institute of Technology Article Outline: Glossary I. Definition of the Subject and Its Importance II. Introduction III. Quantum Mechanics IV. Quantum Computation V. Noise and Errors VI. Quantum Communication VII. Implications and Conclusions 1 Glossary Algorithm: A systematic procedure for solving a problem, frequently implemented as a computer program. Bit: The fundamental unit of information, representing the distinction between two possi- ble states, conventionally called 0 and 1. The word ‘bit’ is also used to refer to a physical system that registers a bit of information. Boolean Algebra: The mathematics of manipulating bits using simple operations such as AND, OR, NOT, and COPY. Communication Channel: A physical system that allows information to be transmitted from one place to another. Computer: A device for processing information. A digital computer uses Boolean algebra (q.v.) to processes information in the form of bits. Cryptography: The science and technique of encoding information in a secret form. The process of encoding is called encryption, and a system for encoding and decoding is called a cipher. A key is a piece of information used for encoding or decoding. Public-key cryptography operates using a public key by which information is encrypted, and a separate private key by which the encrypted message is decoded. Decoherence: A peculiarly quantum form of noise that has no classical analog. Decoherence destroys quantum superpositions and is the most important and ubiquitous form of noise in quantum computers and quantum communication channels. -
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.