Quantum Weirdness: a Beginner's Guide
Total Page:16
File Type:pdf, Size:1020Kb
Load more
Recommended publications
-
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. -
Wave Nature of Matter: Made Easy (Lesson 3) Matter Behaving As a Wave? Ridiculous!
Wave Nature of Matter: Made Easy (Lesson 3) Matter behaving as a wave? Ridiculous! Compiled by Dr. SuchandraChatterjee Associate Professor Department of Chemistry Surendranath College Remember? I showed you earlier how Einstein (in 1905) showed that the photoelectric effect could be understood if light were thought of as a stream of particles (photons) with energy equal to hν. I got my Nobel prize for that. Louis de Broglie (in 1923) If light can behave both as a wave and a particle, I wonder if a particle can also behave as a wave? Louis de Broglie I’ll try messing around with some of Einstein’s formulae and see what I can come up with. I can imagine a photon of light. If it had a “mass” of mp, then its momentum would be given by p = mpc where c is the speed of light. Now Einstein has a lovely formula that he discovered linking mass with energy (E = mc2) and he also used Planck’s formula E = hf. What if I put them equal to each other? mc2 = hf mc2 = hf So for my photon 2 mp = hfhf/c/c So if p = mpc = hfhf/c/c p = mpc = hf/chf/c Now using the wave equation, c = fλ (f = c/λ) So mpc = hc /λc /λc= h/λ λ = hp So you’re saying that a particle of momentum p has a wavelength equal to Planck’s constant divided by p?! Yes! λ = h/p It will be known as the de Broglie wavelength of the particle Confirmation of de Broglie’s ideas De Broglie didn’t have to wait long for his idea to be shown to be correct. -
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. -
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: .................................................................................................................................. -
Observation of Quantum Jumps in a Single Atom
VoLUME 57, NUMBER 14 PHYSICAL REVIEW LETTERS 6 OcTosER 1986 Observation of Quantum Jumps in a Single Atom J. C. Bergquist, Randall G. Hulet, Wayne M. Itano, and D. J. Wineland Time and Frequency Division, Jtiational Bureau ofStandards, Boulder, Colorado 80303 (Received 23 June 1986) %e detect the radiatively driven electric quadrupole transition to the metastable Dsy2 state in a single, laser-cooled Hg D ion by monitoring the abrupt cessation of the fluorescence signal from the laser-excited 'Si/2 Pi~2 first resonance line. %hen the ion "jumps" back from the metastable D state to the ground S state, the S P resonance fluorescence signal immediately returns. The sta- tistical properties of the quantum jumps are investigated; for example, photon antibunching in the emission from the D state is observed ~ith 100% efficiency. PACS numbers: 32.80,Pj, 42.SO.Dv Recently, a few laboratories have trapped and radia- ground state to the 5d 6s D5/2 state near 281.5 nm. tively cooled single atoms' 4 enabling a number of The lifetime of the metastable D state has recently unique experiments to be performed. One of the ex- been measured to be about 0.1 s.'5'6 A laser tuned periments now possible is to observe the "quantum just below resonance on the highly allowed S.P transi- jumps" to and from a metastable state in a single atom tion will cool the ion and, in our case, scatter up to by monitoring of the resonance fluorescence of a 5&&10~ photons/s. By collecting even a small fraction strong transition in which at least one of the states is of the scattered photons, we can easily monitor the coupled to the metastable state. -
Wolfgang Pauli Niels Bohr Paul Dirac Max Planck Richard Feynman
Wolfgang Pauli Niels Bohr Paul Dirac Max Planck Richard Feynman Louis de Broglie Norman Ramsey Willis Lamb Otto Stern Werner Heisenberg Walther Gerlach Ernest Rutherford Satyendranath Bose Max Born Erwin Schrödinger Eugene Wigner Arnold Sommerfeld Julian Schwinger David Bohm Enrico Fermi Albert Einstein Where discovery meets practice Center for Integrated Quantum Science and Technology IQ ST in Baden-Württemberg . Introduction “But I do not wish to be forced into abandoning strict These two quotes by Albert Einstein not only express his well more securely, develop new types of computer or construct highly causality without having defended it quite differently known aversion to quantum theory, they also come from two quite accurate measuring equipment. than I have so far. The idea that an electron exposed to a different periods of his life. The first is from a letter dated 19 April Thus quantum theory extends beyond the field of physics into other 1924 to Max Born regarding the latter’s statistical interpretation of areas, e.g. mathematics, engineering, chemistry, and even biology. beam freely chooses the moment and direction in which quantum mechanics. The second is from Einstein’s last lecture as Let us look at a few examples which illustrate this. The field of crypt it wants to move is unbearable to me. If that is the case, part of a series of classes by the American physicist John Archibald ography uses number theory, which constitutes a subdiscipline of then I would rather be a cobbler or a casino employee Wheeler in 1954 at Princeton. pure mathematics. Producing a quantum computer with new types than a physicist.” The realization that, in the quantum world, objects only exist when of gates on the basis of the superposition principle from quantum they are measured – and this is what is behind the moon/mouse mechanics requires the involvement of engineering. -
25 Years of Quantum Hall Effect
S´eminaire Poincar´e2 (2004) 1 – 16 S´eminaire Poincar´e 25 Years of Quantum Hall Effect (QHE) A Personal View on the Discovery, Physics and Applications of this Quantum Effect Klaus von Klitzing Max-Planck-Institut f¨ur Festk¨orperforschung Heisenbergstr. 1 D-70569 Stuttgart Germany 1 Historical Aspects The birthday of the quantum Hall effect (QHE) can be fixed very accurately. It was the night of the 4th to the 5th of February 1980 at around 2 a.m. during an experiment at the High Magnetic Field Laboratory in Grenoble. The research topic included the characterization of the electronic transport of silicon field effect transistors. How can one improve the mobility of these devices? Which scattering processes (surface roughness, interface charges, impurities etc.) dominate the motion of the electrons in the very thin layer of only a few nanometers at the interface between silicon and silicon dioxide? For this research, Dr. Dorda (Siemens AG) and Dr. Pepper (Plessey Company) provided specially designed devices (Hall devices) as shown in Fig.1, which allow direct measurements of the resistivity tensor. Figure 1: Typical silicon MOSFET device used for measurements of the xx- and xy-components of the resistivity tensor. For a fixed source-drain current between the contacts S and D, the potential drops between the probes P − P and H − H are directly proportional to the resistivities ρxx and ρxy. A positive gate voltage increases the carrier density below the gate. For the experiments, low temperatures (typically 4.2 K) were used in order to suppress dis- turbing scattering processes originating from electron-phonon interactions. -
CV Klaus Von Klitzing
Curriculum Vitae Professor Dr. Klaus von Klitzing Name: Klaus von Klitzing Born: 28 June 1943 Major Scientific Interests: Solid State Research, Experimental Solid Physics, Low Dimensional Electron Systems, Quantum Hall Effect Nobel Prize in Physics 1985 Academic and Professional Career since 1985 Director at the Max Planck Institute for Solid State Research and Honorary Professor at Stuttgart University, Germany 1980 - 1984 Professor at the Technical University Munich, Germany 1978 Habilitation 1972 Ph.D. in Physics 1969 - 1980 University of Würzburg, Germany 1962 - 1969 Diploma in Physics Technical University Braunschweig, Germany Functions in Scientific Societies and Committees (Selection) 2011 Scientific Advisory Board Graphene Flagship 2008 Scientific Committee Bayer Climate Award Nationale Akademie der Wissenschaften Leopoldina www.leopoldina.org 1 2007 EURAMET Research Council 2006 Board of Trustees “Institute of Advanced Studies” of TUM 2005 Jury Member START-Wittgenstein Program Austria 2005 Scientific Committee International Solvay Institutes 2000 NTT - Basic Research Laboratory Advisory Board 1992 Bord of Trustees of the German Museum Munich, Germany 1989 Bord of Trustees of the Physikalisch-Technische Bundesanstalt Braunschweig Honours and Awarded Memberships (Selection) 2019 Member of Orden Pour le Mérite 2012 TUM Distinguished Affiliated Professor 2011 Honorary Degree of the National University of Mongolia 2011 Honorary Degree of the Weizmann Institute of Science, Rehovot 2010 Honorary Member of the Deutsche Hochschulverband -
151545957.Pdf
Universit´ede Montr´eal Towards a Philosophical Reconstruction of the Dialogue between Modern Physics and Advaita Ved¯anta: An Inquiry into the Concepts of ¯ak¯a´sa, Vacuum and Reality par Jonathan Duquette Facult´ede th´eologie et de sciences des religions Th`ese pr´esent´ee `ala Facult´edes ´etudes sup´erieures en vue de l’obtention du grade de Philosophiae Doctor (Ph.D.) en sciences des religions Septembre 2010 c Jonathan Duquette, 2010 Universit´ede Montr´eal Facult´edes ´etudes sup´erieures et postdoctorales Cette th`ese intitul´ee: Towards A Philosophical Reconstruction of the Dialogue between Modern Physics and Advaita Ved¯anta: An Inquiry into the Concepts of ¯ak¯a´sa, Vacuum and Reality pr´esent´ee par: Jonathan Duquette a ´et´e´evalu´ee par un jury compos´edes personnes suivantes: Patrice Brodeur, pr´esident-rapporteur Trichur S. Rukmani, directrice de recherche Normand Mousseau, codirecteur de recherche Solange Lefebvre, membre du jury Varadaraja Raman, examinateur externe Karine Bates, repr´esentante du doyen de la FESP ii Abstract Toward the end of the 19th century, the Hindu monk and reformer Swami Vivekananda claimed that modern science was inevitably converging towards Advaita Ved¯anta, an important philosophico-religious system in Hinduism. In the decades that followed, in the midst of the revolution occasioned by the emergence of Einstein’s relativity and quantum physics, a growing number of authors claimed to discover striking “par- allels” between Advaita Ved¯anta and modern physics. Such claims of convergence have continued to the present day, especially in relation to quantum physics. In this dissertation, an attempt is made to critically examine such claims by engaging a de- tailed comparative analysis of two concepts: ¯ak¯a´sa in Advaita Ved¯anta and vacuum in quantum physics. -
Kelvin's Clouds
Kelvin’s clouds Oliver Passon∗ July 1, 2021 Abstract In 1900 Lord Kelvin identified two problems for 19th century physics, two“clouds” as he puts it: the relative motion of the ether with respect to massive objects, and Maxwell-Boltzmann’s theorem on the equipartition of energy. These issues were eventually solved by the theory of special relativity and by quantum mechanics. In modern quotations, the content of Kelvin’s lecture is almost always distorted and misrepresented. For example, it is commonly claimed that Kelvin was concerned about the UV- catastrophe of the Rayleigh-Jeans law, while his lecture actually makes no reference at all to blackbody radiation. I rectify these mistakes and explore reasons for their occurrence. 1 Introduction In 1900, Lord Kelvin, born as William Thomson, delivered a lecture in which he identified two problems for physics at the turn of the 20th century: the question of the existence of ether and the equipartition theorem. The solution for these two clouds was eventually achieved by the theory of special relativity and by quantum mechanics [1]. Understandably, these prophetic remarks are often quoted in popular science books or in the introductory sections of textbooks on modern physics. A typical example is found in the textbook by Tipler and Llewellyn [2]: [...] as there were already vexing cracks in the foundation of what we now refer to as classical physics. Two of these were described by Lord Kelvin, in his famous Baltimore Lectures in 1900, as the “two clouds” on the horizon of twentieth-century physics: the failure of arXiv:2106.16033v1 [physics.hist-ph] 30 Jun 2021 theory to account for the radiation spectrum emitted by a blackbody and the inexplicable results of the Michelson-Morley experiment. -
Note-A-Rific: Blackbody Radiation
Note-A-Rific: Blackbody Radiation What is Blackbody How to Calculate Peak Failure of Classical Radiation Wavelength Physics What is Blackbody Radiation? As thermal energy is added to an object to heat it up, the object will emit radiation at various wavelengths. • All objects emit radiation at an intensity equal to its temperature (in degrees Kelvin, see Glossary) to the fourth power. 4 Intensity = T o At room temperatures, we are not aware of objects emitting radiation because it’s at such a low intensity. o At higher temperatures there is enough infrared radiation that we can feel it. o At still higher temperatures (about 1000K) we can actually see the object glowing red o At temperatures above 2000K, objects glow yellowish or white hot. No real object will absorb all radiation falling on it, nor will it re-emit all of the energy it absorbs. • Instead physicists came up with a theoretical model called a Blackbody. • A blackbody absorbs all radiation falling on it, and then releases all that energy as radiation in the form of EM waves. • As the temperature of a blackbody increases, it will emit more and more intense radiation. • At the same time, as the temperature increases, most of the radiation is released at higher and higher frequencies (lower and lower wavelengths). • The frequency at which the emitted radiation is at the highest intensity is called the peak frequency or (more typically) the peak wavelength. • This explains why an object at room temperature does not emit much radiation, and what radiation it does emit is at higher wavelengths, like infrared. -
Blackbody Radiation and the Quantization of Energy
Blackbody Radiation and the Quantization of Energy Energy quantization, the noncontinuous nature of energy,was discovered from observing radiant energy from blackb o dies. A blackbody absorbs electromagnetic EM energy eciently. An ideal blackb o dy absorbs all electromagnetic energy that b ears up on it. Ecient absorb ers of energy also are ecient emitters or else they would heat up without limit. Energy radiated from blackb o dies was studied b ecause the characteristics of the radiation are indep endent of the material constitution of the blackb o dy. Therefore, conclusions reached by the study of energy radiated from blackb o dies do not require quali cations related to the material studied. If you heat up a go o d absorb er emitter of EM energy, it will radiate energy with total p ower p er unit area prop ortional to the fourth p ower of temp erature in degrees Kelvin. This is the Stefan - Boltzmann law: 4 R = T ; 8 2 4 where the Stefan constant =5:6703 10 W/m K . This lawwas rst prop osed by Josef Stefan in 1879 and studied theoretically by Boltzmann a few years later, so it is named after b oth of them. The EM energy emitted from a blackb o dy actually dep ends strongly on the wavelength, , of the energy. Thus, radiantpower is a function of wavelength, R , and total p ower p er unit area is simply an integral over all wavelengths: Z R = R d: 1 The function R is called the blackbody spectrum. Recall that ! 2 c = f = ! =2f k = k The blackb o dy sp ectrum is di erent for di erent temp eratures, but has the same general shap e as the solid lines in Figure 1 show.