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Topic: Schr

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In the News (Fri 18 Dec 09)

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	SCHR�DER DESIGN - Optimise your design
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		Schröder, SCHRÖDER, schröder, schroder, SCHRODER, Schroder, schroeder, Schroeder, SCHROEDER, SCHRÖDER-DESIGN, schröder-design, Schröder-Design, SCHROEDER-DESIGN, Schroeder-Design, schroeder-design, bernd, Bernd, BERND, Bernd Schröder, Bernd Schroeder, bernd schröder, bernd schroeder
		SCHROEDER DESIGN ist ein Unternehmen fuer Designberatung, Produktdesign, Grafik- und Corporate Design.
	www.designs.de

	Topics in Quantum Dynamics
		In these lectures we will be concerned with the well established Schrödinger equation, which is at the very basis of the current quantum scheme, and with its dissipative generalization - the Liouville equation.
		The Schrödinger equation is more difficult than the Dirac one, and this for two reasons: first, it lives on the background of Galilean relativity - which have to deal with much more intricate geometric structures than Einstein relativity.
		Replacing Schrödinger's evolution, which governs the dynamics of pure states, by an equation of the Liouville type, that describes time evolution of mixed states, is a necessary step - but it does not suffice for modeling of real world events.
	quantumfuture.net /quantum_future/papers/9406204/topics.htm

	Schrödinger and Hamilton-Jacobi Equations
		Because this interpretation is based on classical notions of space and time and because it derives entirely from the Schrödinger wave equation, it suffers from the same sin of mixing macroscopic notions of space and time with the microscopic world of quantum physics, where these notions become quite questionable.
		Schrödinger equations, both the wave and discrete versions, operate on complex valued functions of time and space.
		Substituting this polar form in the Schrödinger equation yields a complex differential equation, which can be readily split into real and imaginary parts.
	beige.ucs.indiana.edu /B679/node39.html (721 words)

	Schrodinger
		Schrödinger was so entranced by his new theory that he threw caution to the winds, abandoned any pretence of critical analysis, and even though his new theory was scarcely hatched, he presented it to the Academy and to the Irish press as an epoch-making advance.
		Schrödinger's early scientific work was inhibited by the absence of a group of first-class theoreticians in Vienna, against whom he could sharpen his skills by daily argument and mutual criticism.
		Weyl was Schrödinger's closest colleague in his first years in Zurich and he was to provide the deep mathematical knowledge which would prove so helpful to Schrödinger in his work.
	www-groups.dcs.st-andrews.ac.uk /~history/Mathematicians/Schrodinger.html (721 words)

	VENUS ARTICLE
		According to Baum (2003), Schröter association and friendship with the Herschel family and older William began when he met them during several organised musical concerts.
		Schröter assumed that the direct cause of the irregularities, especially near the southern cusp, was a mountain or a mountain range - a Venusian Himalayas, while Herschel concluded the ‘alleged’ cause of the Schröter’s Venusian anomalies could possibly be attributed to Schröter’s tarnished speculum mirror.
		It was these particular anomalies and their interpretation that lead to a somewhat passionate debate, mainly between Friedrich Wilhelm (later William) Herschel (1738-1822) and his fellow compatriot Johann Heironymous Schröter (1748-1816).
	www.geocities.com /ariane1au/PageVenus004.htm (721 words)

	Topics in Quantum Dynamics
		Similarly for quantum mechanics: it is rather straightforward to construct generally covariant wave equations for Einstein`s relativity, while general covariance and geometrical meaning of the Schrödinger equation was causing problems, and it was not discussed in textbooks.
		The Schrödinger equation describes time evolution of pure states of a quantum system, for instance evolution of pure states of a quantum particle, or of a many body system.
		Second, Schrödinger's equation is about Quantum Mechanics and we have to take care about probabilistic interpretation, observables, states etc. - which is possible for Schrödinger equation but faces problems in the first-quantized Dirac theory.
	www.cassiopaea.org /quantum_future/topics.htm (5212 words)

	Schrödinger equation
		In this situation, the Schrödinger equation may be conveniently reformulated as a partial differential equation for a wavefunction, a complex scalar field depending on position as well as time.
		As with the force occurring in Newton's second law, its exact form is not provided by the Schrödinger equation, and must be independently determined based on the physical properties of the quantum system.
		This form of the Schrödinger equation is the Schrödinger wave equation.
	www.brainyencyclopedia.com /encyclopedia/s/sc/schroedinger_equation.html (1426 words)

	Schröter (Lunar crater)
		Schröter is a lunar crater near the mid-part of the Moon, on the eastern Mare Insularum.
		To the north of Schröter, beginning with the satellite crater 'Schröter W', is a region of irregular terrain.
		About 100 km to the west-northwest of Schröter crater is the landing site of Surveyor 2.
	www.calsky.com /lexikon/en/txt/s/sc/schroeter__lunar_crater_.php (1426 words)

	Adressverzeichnis: Moxibustion
		Arzneimittel, Akupressur, Moxibustion, Schröpfen, GUA SHA TCM, Diät Beratung, Reiki, Jap.
		Akupunktur, Schröpfen, Moxibustion, chinesische Heilkräuter, Nahrung auf Kräuterbasis nach der trad.
		Traditionellen Chinesischen Medizin: Akupunktur, Moxibustion, Schröpfen, Arzneimitteltherapie, Shonishin (sanfte Behandlungsmethode für Kinder)/ A-Mitglied SBO-TCM in Akupunktur und Arzneimitteltherapie
	www.gesund.ch /verzmeth/moxibust.htm (336 words)

	Guardian Unlimited The Guardian German court issues gagging order on Mail on Sunday over Schroder
		German court issues gagging order on Mail on Sunday over Schroder
		A lawyer acting for the German chancellor, Gerhard Schröder, announced late on Thursday that he had won an injunction from a court in Hamburg forbidding the publishers of the Mail on Sunday from reporting on aspects of the chancellor's private life.
		But more than one commentator has protested that the Schröders themselves blurred the line between private and public in the run-up last year's general election campaign when Doris Schröder-Kopf, a former political journalist, played an unusually prominent role in her husband's campaign.
	www.guardian.co.uk /international/story/0,3604,877347,00.html (597 words)

	Publications and congress contributions
		KLENNER-FRINGES, B. and SCHRÖPFER, R. (2003a): Use of riverbank-structures and resources by Castor fiber albicus Matschie 1907 in northwest Germany: The significance of near-natural and anthropogenic structures of riverbank and slope for the behaviour of semiaquatic mammal.
		SCHRÖPFER, R. (2003b): The European beaver Castor fiber and the neozoa - a new semiaquatic mammalian community - Programme and abstracts of the Third International Beaver Symposium: 33.
		KLENNER-FRINGES, B. and SCHRÖPFER, R. Das Verhalten von Bibern Castor fiber albicus MATSCHIE 1907 nach Translokation in ein Wiederansiedlungsgebiet.
	www.biologie.uni-osnabrueck.de /ethologie/english/publications.htm (597 words)

	EJP Vol 5 (2000) Paper 5 (Abstract)
		As an application of such estimates the Trotter product formula in the $L_p$-operator norm, with error bounds, for these Schrödinger semigroups is also derived.
		are given on the $L_p$-operator norm estimates for the Kac operator $e^{-tV/2} e^{-tH_0} e^{-tV/2}$ compared with the Schrödinger semigroup $e^{-t(H_0+V)}$.
		Schrödinger operator, Schrödinger semigroup, relativistic Schrödinger operator, Trotter product formula, Lie-Trotter-Kato product formula, Feynman-Kac formula, subordination of Brownian motion, Kato's inequality
	www.math.utah.edu:8080 /ftp/pub/ejpecp/EjpVol5/paper5.abs.html (181 words)

	Schrödinger's Cat
		Schrödinger's Cat is a gedanken or thought experiment originally devised by the Austrian physicist Erwin Schrödinger in 1935 to examine the implications of the recently developed theory of quantum physics.
		The significance of Schrödinger's cat experiment is that it illustrates some of the most problematic aspects of quantum mechanics, aspects that Schrödinger himself (and Albert Einstein: "God does not play dice with the universe") did not like one little bit.
		Schrödinger believed that this thought experiment demonstrated the limitations of quantum theory: namely that it most definitely cannot be applied to macroscopic objects.
	www.qtc.ecs.soton.ac.uk /cat.html (1087 words)

	p1-100.txt
		Bebel, August (Pol) 58/51 65/30 82/46 84/64 Bech, Philip (Sch) 38/19 Becher, Johannes R. Becher, Johannes R. (Schr) 82/60 84/35ff 97/43 Becher, Ulrich (Schr) 100/48 Bechert, Heinz 87/14 Bechly, Friedrich (B) 21/20 Bechstein, Ludwig 60/23 Becht, H. (niederlnd.
		Strubberg, Friedrich August Armbruster, Benjamin (Sch) 77/55 94/65 Armenarzt (P - VS) 50/33 Armitage, Flora 82/31 Armstrong, Neil (Astronaut) 52/26 Armstrong, Todd 13/26 Arnau, F. (Schr) 55/44 Arndt, Vetter (P - VS) 50/32, s.
		Illustr.) 29/29 Franc, Raoul Heinrich (Schr) 61/6 Franc-Harrar, A. Franck, Walter (Sch) 38/22, 25 Francke, A. (Vg) 69/J3f Francke, August Hermann 16/3 Francois le boiteux (= Hobble Frank) (P - "Sohn d.
	karlmay.leo.org /kmg/seklit/m-kmg/p1-100.txt (1087 words)

	Schrodinger
		Erwin Schrödinger's father, Rudolf Schrödinger, ran a small linoleum factory which he had inherited from his own father.
		Schrödinger learnt English and German almost at the same time due to the fact that both were spoken in the household.
		Nobel prizes site (A biography of Schrödinger and his Nobel prize presentation speech)
	www-groups.dcs.st-and.ac.uk /~history/Mathematicians/Schrodinger.html (2522 words)

	Schrodinger's cat - a Whatis.com definition - see also: quantum indeterminacy, quantum measurement indeterminacy
		Schrödinger's cat is a famous illustration of the principle in quantum theory of superposition, proposed by Erwin Schrödinger in 1935.
		Schrödinger's cat serves to demonstrate the apparent conflict between what quantum theory tells us is true about the nature and behavior of matter on the microscopic level and what we observe to be true about the nature and behavior of matter on the macroscopic level.
		Schrödinger himself is rumored to have said, later in life, that he wished he had never met that cat.
	whatis.techtarget.com /definition/0,,sid9_gci341236,00.html (401 words)

	References for Schrodinger
		J Mehra and H Rechenberg, The historical development of quantum theory Vol.5: Erwin Schrödinger and the rise of wave mechanics (New York, 1987).
		H Thirring, Erwin Schrödinger, in Neue Österreichische Biographie ab 1815 18 (Vienna, 1972), 63-68.
		P A Hanle, The Coming of Age of Erwin Schrödinger : His Quantum Statistics of Ideal Gases, Archive for History of Exact Science 17 (1977), 165-.
	www-gap.dcs.st-and.ac.uk /~history/References/Schrodinger.html (220 words)

	Schrödinger Equation
		Equation (10) represents a formal solution of the Schrödinger equation as a first order differential equation in time.
		The space discretization approaches for the Schrödinger equation (7) must yield a solution which behaves like (12), providing a suitable approximation for the exponential term.
		Note that the wavefunction is complex, as clearly indicated by the example in (1), and the Schrödinger equation is equivalent to two equations for the real and imaginary parts of
	www-ncce.ceg.uiuc.edu /tutorials/schro/html/node1.html (424 words)

	Schroedinger Equation
		Schroedinger, the slow learner, established himself as Archimedes' equal by discovering the equation that describes the wave-nature of matter.
		In this situation, the Schrödinger equation may be conveniently reformulated as a partial differential equation for a wavefunction, a complex scalar field depending on position as well as time.
		This form of the Schrödinger equation is the Schrödinger wave equation.
	schroedinger-equation.wikiverse.org (1502 words)

	International Journal of Quantum Chemistry. Symposium
		M. Clarkson and H. Pritchard A Laplace transform solution of Schrödinger's equation using symbolic algebra.
		D. Schuch On the Applicability of a Nonlinear Schrödinger Equation to the Determination of Rate Constants in Kramers' Theory of Chemical Reactions.
		349 B. Plakhutin and A. Arbuznikov and A. Trofimov Coupling Coefficients for Systems with Two Open Electronic Shells: Transition Metal Ions with p$^M$d$^N$ Configuration 363 C. Deng and R. Zhang and D. Feng Solution of Atomic and Molecular Schrödinger Equation Described by Hyperspherical Coordinates.
	www.math.utah.edu /ftp/pub/tex/bib/toc/ijqc.html (1502 words)

	Schrodinger
		Erwin Schrödinger's father, Rudolf Schrödinger, ran a small linoleum factory which he had inherited from his own father.
		Schrödinger learnt English and German almost at the same time due to the fact that both were spoken in the household.
		Nobel prizes site (A biography of Schrödinger and his Nobel prize presentation speech)
	www-gap.dcs.st-and.ac.uk /~history/Mathematicians/Schrodinger.html (2594 words)

	Atlas: The Schr�dinger and the relativistic Schr�dinger operators on the energy space: boundedness and compactness criteria by Vladimir Maz'ya
		We also establish similar boundedness and compactness criteria for the relativistic Schr�dinger operator.
		Atlas: The Schr�dinger and the relativistic Schr�dinger operators on the energy space: boundedness and compactness criteria by Vladimir Maz'ya
		In other words, we establish a criterion for form-boundedness of Q relative to the Laplacian \Delta under no a priori assumptions on Q. For the Schr�dinger operator L=-\Delta+Q, our criterion describes the class of admissible perturbations Q such that L:\ring L
	atlas-conferences.com /c/a/h/z/84.htm (2594 words)

	Schrodinger
		Weyl was Schrödinger's closest colleague in his first years in Zurich and he was to provide the deep mathematical knowledge which would prove so helpful to Schrödinger in his work.
		During these years of changing from one place to another, Schrödinger studied physiological optics, in particular he continued his work on the theory of colour vision.
		The intellectual atmosphere in Zurich suited Schrödinger and Zurich was to be the place where he made his most important contributions.
	www-groups.dcs.st-andrews.ac.uk /~history/Mathematicians/Schrodinger.html (2594 words)

	p14.htm
		The face of the moon is not only furrowed with craters, valleys, and seas, but it is laced with narrow clefts, or rills, and the honor of discovering the first lunar rills lies squarely in the lap of Johann Schr�ter.
		We now know that both the Straight Wall and Schr�ter's Valley were sketched a century earlier by Christian Huygens, but his manuscript drawings were not published until 1925.
		The most famous rill discovered by Schr�ter was later promoted to a valley and named in his honor.
	www.lhl.lib.mo.us /events_exhib/exhibit/exhibits/moon/p14.htm (2594 words)

	Solving the Schrödinger equation
		G.G. Balint-Kurti, C.L. Ward and C.C. Marston, "Two Computer Programs for Solving the Schrödinger Equation for Bound State Eigenvalues and Eigenfunctions Using the Fourier Grid Hamiltonian Method".
		G.G. Balint-Kurti, R.N. Dixon and C.C. Marston "Grid Methods for Solving the Schrödinger Equation and Time Dependent Quantum Dynamics of Molecular Photofragmentation and reactive scattering Processes", Internat.
		We have developed a very simple ( THE SIMPLEST EVER) method for solving the Schrödinger equation for bound states.
	www.chm.bris.ac.uk /pt/ggbk/simple.htm (2594 words)

	For Patent Attorneys and Inventors - MÃ©canique quantique - Le chat de SchrÃ¶dinger - For Patent Attorneys and Inventors
		L'expérience du chat de Schrödinger fut imaginée en 1935 par l'un des pères fondateurs de la mécanique quantique, Erwin Schrödinger, afin de mettre en évidence des lacunes supposées de cette description du monde.
		L'idée de Schrödinger consiste à placer un chat dans une boite fermée.
		L'expérience du chat de Schrödinger a justement été imaginée pour faire surgir l'indéterminisme microscopique dans le monde macroscopique de notre vie quotidienne.
	www.patentist.info /patent-invention/20547.html (2594 words)

	Müller/Nottscheid über Autor: Regesten Roethe/Schröder
		Der Briefwechsel zwischen den beiden Germanisten Gustav Roethe (1859-1926) und Edward Schröder (1858-1942) ist seinem Charakter nach das Dokument einer engen wissenschaftlichen und privaten Beziehung, die bis in das Jahr 1880 zurückreicht, als Roethe in Berlin zum engeren Schülerkreis um Karl Müllenhoff und Wilhelm Scherer stieß, dem Schröder zu diesem Zeitpunkt schon einige Zeit angehörte.
		Das Prestige von Schröder und Roethe beruhte nicht zuletzt darauf, daß sie beide Schüler des einflußreichen Germanisten Wilhelm Scherer (1841-1886) gewesen waren, der zahlreiche Schüler auf Lehrstühle in Deutschland und Österreich gebracht hatte.
		Von diesem Programm, das Scherer allerdings niemals bündig zusammenfaßte, verwirklichten seine Schüler Schröder und Roethe kaum etwas.
	www.iasl.uni-muenchen.de /rezensio/liste/muellNot.html (2594 words)

	History of the Great Lakes, Vol. 1 by J.B. Mansfield, Captains, Shipping, Lighthouse Keepers and Marine
		Williams, G. T., schr., 167 t., lost L. Ont., '56.
		Weeks, G. W., schr., lost L. Mich, '55.
		Whitman, H. L., schr., 295 t., wrecked L. Mich., '44, all hands lost.
	www.linkstothepast.com /marine/chapt42W.html (2594 words)

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In the News (Fri 18 Dec 09)