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An experimental nuclear physicist who coauthored measurements of neutrons in quantized vertical states in the Earth's gravitational field. A horizontal mirror below and an absorber above formed a height-selective guide. Transmission was suppressed when the gap was too small to accommodate the lowest state, turning a tiny gravitational energy scale into a measurable transmission threshold.[ref]
Measurement of quantum states of neutrons in the Earth's gravitational field by Valery V. Nesvizhevsky and others. Abstract: mirror, upper absorber and lowest-state transmission threshold
Coauthor of the 1966 paper with N. D. Mermin on the absence of magnetic order in low-dimensional isotropic Heisenberg models. The primary publication identifies the author as H. Wagner. doi.org/10.1103/PhysRevLett.17.1133
Wolfgang Helfrich developed a continuum description of how lipid bilayers store elastic energy when bent. His 1973 theory distinguishes curvature, stretching and tilt, and relates the shapes of closed vesicles to curvature elasticity. In modern notation its bending contribution iswhere is mean curvature, is Gaussian curvature, is the preferred sum of principal curvatures associated with spontaneous curvature, and are elastic coefficients. The model explains how a flexible membrane can prefer a shape even without a rigid supporting skeleton.[ref]
Elastic Properties of Lipid Bilayers: Theory and Possible Experiments by Wolfgang Helfrich. section II.C, equation (12), p. 695; original notation differs
Portrait of Wolfgang Helfrich
. Girweiki. CC0 1.0 Universal Public Domain Dedication. Source usage terms, via Wikimedia Commons. Source.An experimental physicist who reported the superconducting isotope effect in Mercury in 1950. He compared natural Mercury with isotopically enriched samples, detected the destruction of superconductivity magnetically and extrapolated the critical-field curve to zero magnetic field to obtain the transition temperature. The dependence on isotopic mass showed that changing the atomic nucleus could alter superconductivity, motivating theories involving the motion of the chemical atoms in a crystal.[ref]
Isotope Effect in the Superconductivity of Mercury by Emanuel Maxwell. p. 477: sample preparation, magnetic detection and extrapolation of the critical-field curve
An experimental physicist who collaborated with Charles Pence Slichter on nuclear magnetic resonance measurements of aluminium undergoing superconductivity. Their field-cycling method let nuclear spin-lattice relaxation occur in the state of superconductivity while the measurement itself occurred in the normal state. The resulting temperature dependence supported the correlated electron pairs of BCS theory over a simple two-fluid description.[ref]
Charles Pence Slichter used nuclear magnetic resonance to test the microscopic physics of superconductivity. With L. C. Hebel, he measured nuclear spin-lattice relaxation in aluminium between 0.94 and 4.2 kelvin, using changes of magnetic field to separate relaxation in the superconducting state from detection in the normal state. The observed relaxation disagreed with a simple two-fluid account but could be understood through the electronic correlations of BCS theory. Nuclear spins thus acted as local probes of the superconducting electrons.[ref]
Nuclear Spin Relaxation in Normal and Superconducting Aluminum by L. C. Hebel and Charles Pence Slichter. Physical Review 113, 1504 (1959), abstract: field cycling and comparison with superconducting theories
Portrait of Charles Pence Slichter
. Prolineserver (Wikimedia Commons), Leipzig University, 2006. GFDL 1.2 only, via Wikimedia Commons. Source.Gregory Breit and Eugene Wigner explained strong variations in slow-neutron capture through resonant nuclear excitation. In modern notation, an isolated nuclear resonance has a contribution proportional to , apart from spin and kinematic factors. Here and describe the entrance and radiative channels, while is the total decay width. With slowly varying prefactors, moving to either side of halves the peak, connecting its observed width with the unstable intermediate state.[ref]
Capture of Slow Neutrons by Gregory Breit and Eugene Wigner. 1936 paper, resonant capture and radiative damping; modern isolated-resonance notation and half-height calculation
Portrait of Gregory Breit
. From the National Academy of Sciences biographical memoir of Gregory Breit; photographer not identified on Commons. Attribution-only permission stated on the Commons file page, via Wikimedia Commons. Source.An atomic physicist who compiles detailed reference data for alkali chemical atoms, including rubidium-87. His tables and derivations connect measured transition frequencies, hyperfine structure, Zeeman shifts and transition strengths to calculations used in laser cooling and precision spectroscopy. For example, the Breit-Rabi formula and the rubidium-87 clock transition data let an experimenter estimate how a residual magnetic field shifts a frequency reference.[ref]
Rubidium 87 D Line Data by Daniel A. Steck. Sections on hyperfine structure and magnetic fields, especially equations (26)–(29) and clock-transition magnetic data
An experimental physicist who coauthored a 2000 study of quantum vortex formation in a stirred rubidium-87 Bose-Einstein condensate. A focused laser beam stirred the gas inside a magnetic trap. Above a threshold rotation frequency, vortices appeared; faster stirring produced multiple vortices. Measuring the single-vortex lifetime after stirring stopped made rotational excitations a controlled probe of a dilute quantum fluid.[ref]
Vortex Formation in a Stirred Bose-Einstein Condensate by K. W. Madison and others. Abstract: stirring, critical frequency, multiple vortices and vortex lifetime
Franz Ernst Neumann developed a mathematical theory of electromagnetic induction relating the induced response to the geometry of two electrical circuits. In modern notation, their mutual inductance enters the linked flux as , and a changing linked flux produces electromotive force . Moving either circuit can change , connecting a mechanical displacement with an induced electrical response. Maxwell's account identifies this induction theory as a mathematical counterpart to Ampère's treatment of the forces between currents.[ref]
A Treatise on Electricity and Magnetism by James Clerk Maxwell. Volume II, Part IV, Chapter III, sections 542–543 and the historical induction discussion; modern notation
Portrait of Franz Ernst Neumann
. Carl Steffeck, 1886; Nationalgalerie Berlin, accession A I 376; faithful reproduction via Wikimedia Commons. Public-domain artwork: author died more than 100 years ago; faithful reproduction treated as public domain in the United States under Commons PD-Art. Source usage terms, via Wikimedia Commons. Source.Amnon Yariv and David M. Pepper analyzed phase conjugation through degenerate four-wave mixing. The nonlinear interaction generates a returning light field with the opposite spatial wave phase variation. Under appropriate propagation conditions, this lets the returning wavefront retrace distortions of the incident field. Their 1977 paper treats amplified reflection and a related mode of parametric oscillation, connecting a nonlinear material response with both wavefront control and optical amplification.[ref]
Amplified reflection, phase conjugation, and oscillation in degenerate four-wave mixing by Amnon Yariv and David M. Pepper. Abstract: amplified phase-conjugated propagation and parametric oscillation
Portrait of Amnon Yariv
. Via Wikimedia Commons; credits and usage information are on the linked source file page. Source.An optical physicist who, with Amnon Yariv, analyzed phase conjugation and amplified reflection through degenerate four-wave mixing. The conjugated field reverses the spatial phase variation of an incident wave, connecting a nonlinear interaction to backward propagation that can retrace optical distortions. Their 1977 paper also treats parametric oscillation in the same setting.[ref]
Amplified reflection, phase conjugation, and oscillation in degenerate four-wave mixing by Amnon Yariv and David M. Pepper. Abstract: phase-conjugated propagation and parametric oscillation
A theoretical optical physicist who studied the physical mechanisms of second-order nonlinear polarization. His 1962 analysis distinguishes strongly dispersive ionic motion from electronic response far below its resonances. The additional permutation constraints associated with Kleinman symmetry reduce the number of independent response coefficients, but require assumptions about the frequency dependence of the mechanism.[ref]
Nonlinear Dielectric Polarization in Optical Media by D. A. Kleinman. Abstract: ionic versus electronic mechanisms and extra symmetry constraints
A theoretical physicist who studied the relation between entanglement entropy and boundary area. In his 1993 calculation, a partial trace over the interior of an imaginary sphere in a free-field ground state leaves a mixed exterior state whose entropy scales with area. The example shows how quantum correlations across a boundary can produce an area law without introducing a material surface there.[ref]
Entropy and Area by Mark Srednicki. Abstract: tracing a massless free field over a sphere; coupled-oscillator construction in equations (1)–(5)
An experimental physicist who coauthored the Hong-Ou-Mandel effect experiment with Z. Y. Ou and Leonard Mandel. When indistinguishable photons arrive together at a balanced beam splitter, the coincidence probability is suppressed. Scanning their relative delay reveals the overlap of their wave packets and provides a precise timing probe.[ref]
An experimental optical physicist who coauthored the 1987 Hong-Ou-Mandel effect experiment. The team varied the relative arrival time of a photon pair at a beam splitter and counted coincidences. A narrow interference feature revealed subpicosecond timing information, converting a time scale too short for direct electronic timing into a path-delay measurement.[ref]
Measurement of Subpicosecond Time Intervals between Two Photons by Interference by C. K. Hong and others. Abstract and experimental arrangement: down-converted pairs and relative-delay interference
A theoretical condensed matter physicist who coauthored a theory of quantum Hall edge states with B. I. Shklovskii and L. I. Glazman. Their electrostatic treatment predicts strip widths and positions, providing a spatial model for how the edge of a confined two-dimensional electron gas carries current.[ref]
Electrostatics of edge channels by D. B. Chklovskii and others. Abstract: quantitative edge-strip widths, filling dependence and equilibration
A theoretical condensed matter physicist who coauthored a quantitative description of quantum Hall edge states. The theory combines charge screening with confinement in a two-dimensional electron gas, predicting alternating compressible and incompressible regions. It helps explain why edge transport depends on electrostatics as well as the bulk filling.[ref]
Electrostatics of edge channels by D. B. Chklovskii and others. Abstract: self-consistent edge potential and strip structure
A theoretical condensed matter physicist who coauthored a self-consistent electrostatic theory of quantum Hall edge states. The confined two-dimensional electron gas separates into alternating compressible and incompressible strips. Their positions and widths connect an applied gate potential to the actual conducting edge structure.[ref]
Electrostatics of edge channels by D. B. Chklovskii and others. Abstract: gate confinement and alternating edge strips
Daniel Loss and David P. DiVincenzo proposed quantum computation with the spins of single electrons confined in coupled quantum dots. Changing an electrical barrier changes tunnelling between the quantum dots and hence the exchange interaction between their spins. Controlling this interaction supplies two-qubit operations, while local spin control supplies single-qubit operations. The proposal makes a semiconductor device a controllable interacting quantum system, and explicitly considers how unwanted coupling to the environment degrades the operations.[ref]
Quantum Computation with Quantum Dots by Daniel Loss and David P. DiVincenzo. Physical Review A 57, 120 (1998), abstract and section II
Portrait of Daniel Loss
. Rickinasia. CC BY-SA 4.0, via Wikimedia Commons. Source. Pinned article: Introduction to the OurBigBook Project
Welcome to the OurBigBook Project! Our goal is to create the perfect publishing platform for STEM subjects, and get university-level students to write the best free STEM tutorials ever.
Everyone is welcome to create an account and play with the site: ourbigbook.com/go/register. We belive that students themselves can write amazing tutorials, but teachers are welcome too. You can write about anything you want, it doesn't have to be STEM or even educational. Silly test content is very welcome and you won't be penalized in any way. Just keep it legal!
Intro to OurBigBook
. Source. We have two killer features:
- topics: topics group articles by different users with the same title, e.g. here is the topic for the "Fundamental Theorem of Calculus" ourbigbook.com/go/topic/fundamental-theorem-of-calculusArticles of different users are sorted by upvote within each article page. This feature is a bit like:
- a Wikipedia where each user can have their own version of each article
- a Q&A website like Stack Overflow, where multiple people can give their views on a given topic, and the best ones are sorted by upvote. Except you don't need to wait for someone to ask first, and any topic goes, no matter how narrow or broad
This feature makes it possible for readers to find better explanations of any topic created by other writers. And it allows writers to create an explanation in a place that readers might actually find it.Figure 1. Screenshot of the "Derivative" topic page. View it live at: ourbigbook.com/go/topic/derivativeVideo 2. OurBigBook Web topics demo. Source. - local editing: you can store all your personal knowledge base content locally in a plaintext markup format that can be edited locally and published either:This way you can be sure that even if OurBigBook.com were to go down one day (which we have no plans to do as it is quite cheap to host!), your content will still be perfectly readable as a static site.
- to OurBigBook.com to get awesome multi-user features like topics and likes
- as HTML files to a static website, which you can host yourself for free on many external providers like GitHub Pages, and remain in full control
Figure 2. You can publish local OurBigBook lightweight markup files to either OurBigBook.com or as a static website.Figure 3. Visual Studio Code extension installation.Figure 5. . You can also edit articles on the Web editor without installing anything locally. Video 3. Edit locally and publish demo. Source. This shows editing OurBigBook Markup and publishing it using the Visual Studio Code extension. - Infinitely deep tables of contents:
All our software is open source and hosted at: github.com/ourbigbook/ourbigbook
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