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Topic: Braket notation

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	Bra-ket notation - Wikipedia, the free encyclopedia
		Bra-ket notation is the standard notation for describing quantum states in the theory of quantum mechanics.
		The notation is justified by the Riesz representation theorem, which states that a Hilbert space and its dual space are isometrically isomorphic.
		This is something of an abuse of notation, though a fairly common one.
	en.wikipedia.org /wiki/Bra-ket_notation (939 words)

	Talk:Bra-ket notation - Wikipedia, the free encyclopedia (Site not responding. Last check: 2007-10-10)
		I've noted that while Dirac's Bra and Ket notation is addressed, there is both a spelling omission and Dirac's "c number", which accounts for the omitted letter referenced.
		A complete bra and ket notation discussion actually should reference a number c which goes between the bra and ket.
		I'm not sure if this is just a different notation, but I believe the "plane waves" eigenstates of the momentum operator are denoted 〈xp〉 rather than 〈xx〉 which would be some strange delta function concotion.
	en.wikipedia.org /wiki/Talk:Bra-ket_notation (1856 words)

	Braket notation (Site not responding. Last check: 2007-10-10)
		The shorthand notation with angle brackets is due to Dirac.
		Note one important aspect of the shorthand notation is that the bra
		There is no particular significance to the choice of symbol for the wavefunction.
	chsfpc5.chem.ncsu.edu /~franzen/CH795Z/math/braket/braket.html (266 words)

	OpenMath Presentation Editor - User Guide (Site not responding. Last check: 2007-10-10)
		In element, the notation of the symbol is written inside the element.
		To generate the notation of the symbol in element, the editor requires input for the notation as well as an OpenMath expression.
		As the notation structure in element uses XPath to point the arguments of the OpenMath objects, we have provided in the editor a scheme for naming the arguments/identifiers to calculate the XPath, i.e.
	www.activemath.org /projects/ompe/guide.html (708 words)

	: Class Braket
		The components of the braket are not created before they are actually needed in a computation.
		holds whether the braket is a bra or a ket.
		the string representation of a certain basis state in binary braket notation.
	www.eng.buffalo.edu /~phygons/jaQuzzi/docs/edu/buffalo/fs7/mathlib/Braket.html (352 words)

	Re: Who coined the terms "bra" and "ket"?
		You claimed (deleted) that the braket notation is not useful without the symmetry property; but Harry showed that is wrong by pointing out how else it's useful.
		On the other hand, restricting the braket to Hermitean operators is a vast contraction in flexibility.
		Unless someone has been taught that brakets are used only with Hermitean operators, the notion of something acting on the right should be so foreign that they'd work it out carefully.
	www.lns.cornell.edu /spr/1999-10/msg0018723.html (446 words)

	[No title] (Site not responding. Last check: 2007-10-10)
		notation and sets {} % Donald Arseneau asnd@triumf.ca Last modified 05-Dec-1999.
		You should use the vertical bar % character "" to input any extra vertical lines.
		In \Braket these % vertical lines will expand to match the arguments, and in \Set the % first vertical will expand this way.
	www.utexas.edu /ogs/etd/LaTeX/Style.files/braket.sty (133 words)

	Bublos.com, Books ›› Mathematical Foundations of Quantum Mechanics (Site not responding. Last check: 2007-10-10)
		Maybe the most disturbing issue would be the notation since in 1932 dirac had still not developed the bracket formalism.
		First the strengths: (1) The author gives a rigorous proof of the incompatibility of the two theories of quantum mechanics, that is, the evolution of the state vector as determined by Schrodinger's equation and the collapse of the state vector by means of an observation.
		This part isn't essential but as the braket notation is not used you need to consult this part.
	www.bublos.net /isbn/0691028931.html (1185 words)

	: Index
		Class which allows to dump the components of a braket.
		GateTable.Calculation(GateTable, Braket, Braket, int) - Constructor for class edu.buffalo.fs7.qsymbol2.
		retrieves the braket from the positions of the qubit checkboxes
	www.eng.buffalo.edu /~phygons/jaQuzzi/docs/index-all.html (2616 words)

	[No title]
		To shorten the notation, I defined an auxiliary function \layermath, which adds a layer of \hbox to a math expression, and the following (final!) version of \braket, and a couple more trivial analogous commands dealing with "bra"s and "ket"s.
		However, it is quite inefficient, due to the fact that each of the arguments is typeset 8 (!) times to produce a \braket.
		I suppose that this could be improved by storing them in boxes during processing, but the arguments are typically small so I didn't worry about it.
	www.math.mcgill.ca /rags/texmacros/mathhbox.tip (663 words)

	ActionScript.org Forums - passing a random Mc to a function (Site not responding. Last check: 2007-10-10)
		You have arrays and you have referencing properties in arrays(/objects).
		i had actually tried bracket notation, but i didn't know i had to be specific with the path.
		Because clip4 is a valid object name in the current clip.
	www.actionscript.org /forums/printthread.php3?t=31211 (482 words)

	Tools of Tensor calculus - Noncoordinate basis
		All we have said in chapter Riemannian manifolds remains unchanged.
		In a noncoordinate basis the definition of the connection coefficients have to be generalized to
		The index notation showed in chapter Index notation can be perfectly used even if the tensors that take part are expressed in a noncoordinate basis.
	baldufa.upc.es /xjaen/ttc/tutorial/tetr.htm (752 words)

	Hidden Braket Shelves - Big Shelf Guide (Site not responding. Last check: 2007-10-10)
		There is a hidden button that is pushed to open the front glass panel, which folds down.
		too as it is part of the drivers side braket.
		men were in the upper reaches of the income braket.
	www.bigshelfguide.com /hidden-braket-shelves.html (848 words)

	Amazon.com: Extension Theory (History of Mathematics, 19.): Books: Hermann Grassmann,Lloyd C. Kannenberg (Site not responding. Last check: 2007-10-10)
		The linear algebra taught to undergraduates - and a lot of simple, practical mathematics that isn't taught to undergraduates largely for historical reasons (Hamilton bound vectors to 4 dimensions, Gibbs later bound them to 3 dimensions, failing to emphasize the generality of Grassmann's invention) - is presented simply and cleanly.
		Dirac's famous braket notation, quantum logic (introduced by Birkhoff and von Neumann in 1935), the modern definitions of dimension, orthogonality, ordering, and the meets and joins of lattice theory, can all be found here.
		Many of these ideas are written in the same notation and language we use today, and could be found stated identically in a modern text on geometric algebra.
	www.amazon.com /exec/obidos/tg/detail/-/0821820311?v=glance (818 words)

	Something Similar » Blog Archive » Quantum Gravitation Through Quantum Computation? (Site not responding. Last check: 2007-10-10)
		Just an undergrad at a less-than-prestigious campus (not bad, however, just not MIT or CalTech or some such) with a very bad habit of reading papers in his favorite field that all fly right over his head.
		I’m just happy I learned the braket notation before taking quantum mechanics, ok? That’s how bad it is.
		The largest of all is the most obvious one shown right there in the abstract.
	somethingsimilar.com /wordpress/2005/01/25/quantum-gravitation-through-quantum-computation (521 words)

	Bra Ket in ZhurnalWiki (Site not responding. Last check: 2007-10-10)
		On the theme of appropriate notation and how it empowers good thinking, an example from quantum mechanical circles: P. Dirac's "bra-ket" symbolism.
		The bra-ket notation keeps track of the nasty algebra and resolves ambiguity...
		Visual layout and styling specified using W3C CSS.
	zhurnal.net /ww/zw?BraKet (138 words)

	[No title] (Site not responding. Last check: 2007-10-10)
		%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% COMMAND DEFINITION FILE %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % Quantum Notation % % Document Last Updated: 2004-09-13 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % %% Dirac Brackets % \bra{} % defines the dual state ket.
		% % %% Commutations % \commutate{}{} % the commutator % output: [#input_1#,#input_2#] % % \acommutate{}{} % the anti commutator % output: {#input_1#,#input_2#} % % %% Slash notation % \delslash % shorthand for four-divergence contracted with gamma matrices % % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% Dirac Brackets \newcommand{\bra}[1]{ \left
		%%%% Commutations \newcommand{\commutate}[2]{ \left[ #1, #2 \right] } % the commutator [, ] \newcommand{\acommutate}[2]{ \left\{ #1, #2 \right\} } % the anti commutator {, } %%%% Slash notation \newcommand{\delslash}{ \mkern-6mu \not \mkern-3mu \partial }
	www.glue.umd.edu /~nsetzer/latex/command_def/quantum_notation.cmdef (139 words)

	[No title] (Site not responding. Last check: 2007-10-10)
		A package to notate tunes stored in an ascii format (abc notation).
		One of the most important aims of abc notation, and perhaps one that distinguishes it from most, if not all, computer-readable musical languages is that it can be easily read by humans.
		Fonts for in-line notation are in Type 1 font format.
	www.act.cmis.csiro.au /gjw/tex/catalogue.xml (5027 words)

	Tricks for TeX and LaTeX
		I forget which package does this...but it should probably go into exscale.
		Is there a way to convince the vertical bar in notation, like
		notation was refering to a chaacter of code less than 32, which are `illegal' in LaTeX as they do not work on all TeX systems.
	www.physics.brown.edu /physics/userpages/students/Daniel_Ferrante/latex/tricks.html (4284 words)

	ASN.1 Site - Resources - Unicode
		Mathematical operators that don't already appear in other blocks.
		Cropping marks, braket notation from quantum mechanics, symbols needed for the APL programming language, and assorted other technical symbols.
		Pictures of the ASCII control characters; generally used in debugging and networkpacket sniffing.
	asn1.elibel.tm.fr /en/resources/unicode.htm (660 words)

	Discussion - Vintage Bicycle Dating (Site not responding. Last check: 2007-10-10)
		The serial number is A01560 and is located on the bottom bracket.
		The bottom braket has a oil port with a cute little chrome sprung cap.
		I have no idea how much this bike is worth but I would like to sell it or perhaps restore it.
	members.aol.com /menotomy2/disp/dater6.htm (11911 words)

	The TeX Catalogue OnLine, Entry for braket, Ctan Edition (Site not responding. Last check: 2007-10-10)
		The TeX Catalogue OnLine, Entry for braket, Ctan Edition
		Provides macros to typeset bra-ket notation, as well as set specifiers, with a single ("") or a double ("" or ("\") vertical bar specifier in between two bracketed parts.
		If the package finds itself operating under e-tex, it uses the extended primitive \middle for more reliable results The author is Donald Arseneau.
	www.tug.org /tex-archive/help/Catalogue/entries/braket.html (72 words)

	[No title]
		Without the ", StyleBox["Notation", FontSlant->"Italic"], " package creating and defining your own notations can be laborious and \ problematic." }], "Text"], Cell[TextData[{ "This loads the ", StyleBox["Notation", FontSlant->"Italic"], " package and launches a palette for setting up notations." }], "Commentary"], Cell[BoxData[ \(
		", "Text"], Cell["Create input aliases for bras, kets and brakets.", "Commentary"], Cell[BoxData[{ RowBox[{"AddInputAlias", "[", RowBox[{ TagBox[ TagBox[ RowBox[{"\[VerticalSeparator]", AdjustmentBox[ TagBox["\[Placeholder]", KetArgs, TagStyle->"BraKetArg"], BoxBaselineShift->0], "\[RightAngleBracket]"}], Ket, TagStyle->"KetWrapper"], NotationBoxTag, TagStyle->"NotationTemplateStyle"], ",", "\"\
		This section gives some simple examples of how category theory \ diagrams can be set up as notations in ", StyleBox["Mathematica", FontSlant->"Italic"], ".
	www.vipbg.vcu.edu /software_docs/mathematica/Documentation/English/GettingStarted/Demos/NotationMaker.nb (852 words)

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