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author | Karl Berry <karl@freefriends.org> | 2012-10-18 22:40:23 +0000 |
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committer | Karl Berry <karl@freefriends.org> | 2012-10-18 22:40:23 +0000 |
commit | 6e0ee25830b0d29cd15d158e3bf75bd74724ae5a (patch) | |
tree | 36dfbb68c487d8efd4ed4d1964cd6d7c0bb21877 /Master/texmf-dist/tex/latex/physics | |
parent | 53f4514f079fc23ae33a1a1aa730e83203bc2ef5 (diff) |
new latex package physics (15oct12)
git-svn-id: svn://tug.org/texlive/trunk@28017 c570f23f-e606-0410-a88d-b1316a301751
Diffstat (limited to 'Master/texmf-dist/tex/latex/physics')
-rw-r--r-- | Master/texmf-dist/tex/latex/physics/physics.sty | 231 |
1 files changed, 231 insertions, 0 deletions
diff --git a/Master/texmf-dist/tex/latex/physics/physics.sty b/Master/texmf-dist/tex/latex/physics/physics.sty new file mode 100644 index 00000000000..30205692737 --- /dev/null +++ b/Master/texmf-dist/tex/latex/physics/physics.sty @@ -0,0 +1,231 @@ +\ProvidesPackage{physics} +% physics 1.10 +% This material is subject to the LaTeX Project Public License. +% See http://www.ctan.org/tex-archive/help/Catalogue/licenses.lppl.html for the details of that license. +% +% Handy commands for physicists including macros for vectors, calculus, and bra-ket (Dirac) notation +% Requires xparse package, which comes bundled with l3packages and l3kernel +% This package loads amsmath, which comes standard with most latex distributions +% The commands defined in this package will silently overwrite previous commands with the same name, if such commands exist +% +% Created by Sergio C. de la Barrera +% Updated on October 10, 2012 +% Uploaded on October 11, 2012 + +\RequirePackage{xparse} +\RequirePackage{amsmath} + +% Vector notation +\DeclareDocumentCommand\vectorbold{ s m }{\IfBooleanTF{#1}{\boldsymbol{#2}}{\mathbf{#2}}} % Vector bold [star for Greek and italic Roman] +\DeclareDocumentCommand\vb{}{\vectorbold} % Shorthand for \vectorbold + +\DeclareDocumentCommand\vectorarrow{ s m }{\IfBooleanTF{#1}{\vec{\boldsymbol{#2}}}{\vec{\mathbf{#2}}}} % Vector arrow + bold [star for Greek and italic Roman] +\DeclareDocumentCommand\va{}{\vectorarrow} % Shorthand for \vectorarrow + +\DeclareDocumentCommand\vectorunit{ s m }{\IfBooleanTF{#1}{\boldsymbol{\hat{#2}}}{\mathbf{\hat{#2}}}} % Unit vector [star for Greek and italic Roman] +\DeclareDocumentCommand\vu{}{\vectorunit} % Shorthand for \vectorunit + +\DeclareDocumentCommand\dotproduct{}{\boldsymbol\cdot} % Vector dot product symbol +\DeclareDocumentCommand\vdot{}{\dotproduct} % Shorthand for \dotproduct [note that the command sequence \dp is protected] + +\DeclareDocumentCommand\crossproduct{}{\boldsymbol\times} % Vector cross product symbol +\DeclareDocumentCommand\cross{}{\crossproduct} % Shorthand for \crossproduct +\DeclareDocumentCommand\cp{}{\crossproduct} % Shorthand for \crossproduct + +\DeclareDocumentCommand\vnabla{}{\boldsymbol\nabla} % Vector bold \nabla symbol +\DeclareDocumentCommand\gradient{ s g }{\IfNoValueTF{#2}{\vnabla}{\IfBooleanTF{#1}{\vnabla\!\left(#2\right)}{\vnabla #2}}} % Gradient [star for parentheses] +\DeclareDocumentCommand\grad{}{\gradient} % Shorthand for \gradient + +\DeclareDocumentCommand\divergence{ s g }{\IfNoValueTF{#2}{\vnabla \vdot}{\IfBooleanTF{#1}{\vnabla \vdot \left(#2\right)}{\vnabla \vdot #2}}} % Divergence [star for parentheses] +\let\divisionsymbol\div % Rename \div [division symbol] in order to free up control sequence for \divergence +\let\div\relax +\DeclareDocumentCommand\div{}{\divergence} % Shorthand for \divergence + +\DeclareDocumentCommand\curl{ s g }{\IfNoValueTF{#2}{\vnabla \cross}{\IfBooleanTF{#1}{\vnabla \cross \left(#2\right)}{\vnabla \cross #2}}} % Curl [star for parentheses] +\DeclareDocumentCommand\laplacian{ s g }{\IfNoValueTF{#2}{\nabla^2}{\IfBooleanTF{#1}{\nabla^2\!\left(#2\right)}{\nabla^2 #2}}} % Laplacian [star for parentheses] + +% Brackets and braces +\DeclareDocumentCommand\quantity{ t\big t\Big t\bigg t\Bigg g o d() d|| }{ % Flexible automatic bracketing of an expression in () or [] or {} or || + % Handles manual override of sizing + \IfBooleanTF{#1}{\let\ltag\bigl \let\rtag\bigr}{ + \IfBooleanTF{#2}{\let\ltag\Bigl \let\rtag\Bigr}{ + \IfBooleanTF{#3}{\let\ltag\biggl \let\rtag\biggr}{ + \IfBooleanTF{#4} + {\let\ltag\Biggl \let\rtag\Biggr} + {\let\ltag\left \let\rtag\right} + } + } + } + % Handles actual bracketing + \IfNoValueTF{#5}{ + \IfNoValueTF{#6}{ + \IfNoValueTF{#7}{ + \IfNoValueTF{#8} + {()} + {\ltag\lvert{#8}\rtag\rvert} + } + {\ltag(#7\rtag) \IfNoValueTF{#8}{}{#8}} + } + {\ltag[#6\rtag] \IfNoValueTF{#7}{}{[#7]} \IfNoValueTF{#8}{}{#8}} + } + {\ltag\lbrace#5\rtag\rbrace \IfNoValueTF{#6}{}{|#6|} \IfNoValueTF{#7}{}{[#7]} \IfNoValueTF{#8}{}{#8}} + } +\DeclareDocumentCommand\qty{}{\quantity} % Shorthand for \quantity + +\DeclareDocumentCommand\absolutevalue{ t\big t\Big t\bigg t\Bigg m }{ % Absolute value/complex modulus + \IfBooleanTF{#1}{\quantity\big|#5|}{ + \IfBooleanTF{#2}{\quantity\Big|#5|}{ + \IfBooleanTF{#3}{\quantity\bigg|#5|}{ + \IfBooleanTF{#4}{\let\sizetag\Bigg}{\quantity|#5|} + } + } + } +} +\DeclareDocumentCommand\abs{}{\absolutevalue} % Shorthand for \absolutevalue + +\DeclareDocumentCommand\norm{m}{{\left\lVert{#1}\right\rVert}} % Norm +\DeclareDocumentCommand\order{g}{{\mathcal{O}\IfNoValueTF{#1}{}{\!\left(#1\right)}}} % Order symbol -> O(x^2) +\DeclareDocumentCommand\poissonbracket{ m m }{{\left\lbrace{#1},{#2}\right\rbrace}} % Poisson bracket [same as anti-commutator] +\DeclareDocumentCommand\pb{}{\poissonbracket} % Shorthand for \poissonbracket + +% Commutators +\DeclareDocumentCommand\commutator{ m m }{\left[{#1},{#2}\right]} % Commutator +\DeclareDocumentCommand\comm{}{\commutator} % Shorthand for \commutator + +\DeclareDocumentCommand\anticommutator{ m m }{\left\lbrace{#1},{#2}\right\rbrace} % Anticommutator [same as Poisson bracket] +\DeclareDocumentCommand\acommutator{}{\anticommutator} % Shorthand for \anticommutator +\DeclareDocumentCommand\acomm{}{\anticommutator} % Shorthand for \anticommutator + +% Operators +\DeclareMathOperator{\tr}{tr} % Trace and partial trace [w/subscript] +\DeclareMathOperator{\rank}{rank} % Rank of a matrix +\DeclareMathOperator{\erf}{erf} % Gauss error function + +% Quick quad text (math-mode text with \quad spacing) +\DeclareDocumentCommand\qqtext{ s m }{\IfBooleanTF{#1}{}{\quad}\text{#2}\quad} +\DeclareDocumentCommand\qq{}{\qqtext} + +\DeclareDocumentCommand\qcomma{}{,\quad} +\DeclareDocumentCommand\qc{}{\qcomma} + +\DeclareDocumentCommand\qif{s}{\IfBooleanTF{#1}{}{\quad}\text{if}\quad} +\DeclareDocumentCommand\qthen{s}{\IfBooleanTF{#1}{}{\quad}\text{then}\quad} +\DeclareDocumentCommand\qelse{s}{\IfBooleanTF{#1}{}{\quad}\text{else}\quad} +\DeclareDocumentCommand\qotherwise{s}{\IfBooleanTF{#1}{}{\quad}\text{otherwise}\quad} +\DeclareDocumentCommand\qunless{s}{\IfBooleanTF{#1}{}{\quad}\text{unless}\quad} +\DeclareDocumentCommand\qgiven{s}{\IfBooleanTF{#1}{}{\quad}\text{given}\quad} +\DeclareDocumentCommand\qusing{s}{\IfBooleanTF{#1}{}{\quad}\text{using}\quad} +\DeclareDocumentCommand\qfor{s}{\IfBooleanTF{#1}{}{\quad}\text{for}\quad} +\DeclareDocumentCommand\qall{s}{\IfBooleanTF{#1}{}{\quad}\text{all}\quad} +\DeclareDocumentCommand\qeven{s}{\IfBooleanTF{#1}{}{\quad}\text{even}\quad} +\DeclareDocumentCommand\qodd{s}{\IfBooleanTF{#1}{}{\quad}\text{odd}\quad} +\DeclareDocumentCommand\qinteger{s}{\IfBooleanTF{#1}{}{\quad}\text{integer}\quad} +\DeclareDocumentCommand\qand{s}{\IfBooleanTF{#1}{}{\quad}\text{and}\quad} +\DeclareDocumentCommand\qor{s}{\IfBooleanTF{#1}{}{\quad}\text{or}\quad} +\DeclareDocumentCommand\qas{s}{\IfBooleanTF{#1}{}{\quad}\text{as}\quad} +\DeclareDocumentCommand\qin{s}{\IfBooleanTF{#1}{}{\quad}\text{in}\quad} +\DeclareDocumentCommand\qcc{s}{\IfBooleanTF{#1}{}{\quad}\text{c.c.}\quad} + +% Derivatives +\DeclareDocumentCommand\differential{ s o g }{{ % Differential 'd' + % s: star for parentheses as in d(cos x) + % o: optional n for nth differential + % g: optional argument for readability and to control spacing + \IfNoValueTF{#3} + {\mathrm{d}\IfNoValueTF{#2}{}{^{#2}}} + {\IfBooleanTF{#1} + {\mathrm{d}\IfNoValueTF{#2}{}{^{#2}}\!\left(#3\right)} + {\mathrm{d}\IfNoValueTF{#2}{}{^{#2}} #3 \,} + } + }} +\DeclareDocumentCommand\dd{}{\differential} % Shorthand for \differential + +\DeclareDocumentCommand\derivative{ o m m o }{{ % Total derivatives + % o: optional n for nth derivative + % m: mandatory (f in df/dx) + % m: mandatory (x in df/dx) + % o: optional evaluation point + \IfNoValueTF{#4}{}{\left.}\frac{\dd \IfNoValueTF{#1}{}{^{#1}} #2}{\dd #3\IfNoValueTF{#1}{}{^{#1}}}\IfNoValueTF{#4}{}{\right\rvert_{#4}} + }} +\DeclareDocumentCommand\dv{}{\derivative} % Shorthand for \derivative + +\DeclareDocumentCommand\partialderivative{ s o m m g o }{ % Partial derivatives + % s: star for shorthand curly-d notation [default is Leibniz mode] + % o: optional n for nth derivative [Leibniz mode] + % m: mandatory (f in df/dx) [both modes] + % m: mandatory (x in df/dx) [both modes] + % g: optional (y in d^2f/dxdy) [both modes] + % o: optional evaluation point [Leibniz mode] + \IfNoValueTF{#5}{ + \IfBooleanTF{#1} + {\partial_{#4} {#3}} + {\IfNoValueTF{#6}{}{\left.}\frac{\partial\IfNoValueTF{#2}{}{^{#2}} #3}{\partial #4\IfNoValueTF{#2}{}{^{#2}}}\IfNoValueTF{#6}{}{\right\rvert_{#6}}} + }{ + \IfBooleanTF{#1} + {\partial_{{#4}{#5}} {#3}} + {\IfNoValueTF{#6}{}{\left.}\frac{\partial^2 #3}{\partial #4 \partial #5}\IfNoValueTF{#6}{}{\right\rvert_{#6}}} + } + } +\DeclareDocumentCommand\pderivative{}{\partialderivative} % Shorthand for \partialderivative +\DeclareDocumentCommand\pdv{}{\partialderivative} % Shorthand for \partialderivative + +% Bra-ket notation +\DeclareDocumentCommand\bra{ s m t\ket{g} }{ % Bra + \IfBooleanTF{#1} + {\left\lvert{#2}\right\rangle \IfNoValueTF{#4}{}{#4}} % Complex conjugate + {\IfBooleanTF{#3}{\braket{#2}{\IfNoValueTF{#4}{}{#4}}}{\left\langle{#2}\right\rvert \IfNoValueTF{#4}{}{#4}}} % No star --- allow contraction + } + +\DeclareDocumentCommand\ket{ s m }{ % Ket + \IfBooleanTF{#1} + {\left\langle{#2}\right\rvert} % Complex conjugate + {\left\lvert{#2}\right\rangle} % No star + } + +\DeclareDocumentCommand\innerproduct{ s m g }{ % Inner product + \IfNoValueTF{#3} + {\left\langle{#2}\vert{#2}\right\rangle} + { % Two arguments + \IfBooleanTF{#1} + {\left\langle{#3}\middle\vert{#2}\right\rangle} % Complex conjugate + {\left\langle{#2}\middle\vert{#3}\right\rangle} % No star + } + } +\DeclareDocumentCommand\braket{}{\innerproduct} % Shorthand for \innerproduct +\DeclareDocumentCommand\ip{}{\innerproduct} % Shorthand for \innerproduct + +\DeclareDocumentCommand\outerproduct{ s m g }{ % Dyad + \IfNoValueTF{#3} + {\left\lvert{#2}\middle\rangle\!\middle\langle{#2}\right\rvert} + { % Two arguments + \IfBooleanTF{#1} + {\left\lvert{#3}\middle\rangle\!\middle\langle{#2}\right\rvert} + {\left\lvert{#2}\middle\rangle\!\middle\langle{#3}\right\rvert} + } + } +\DeclareDocumentCommand\dyad{}{\outerproduct} % Alternative for \outerproduct +\DeclareDocumentCommand\op{}{\dyad} % Shorthand for \outerproduct +\DeclareDocumentCommand\ketbra{}{\dyad} % Alternative for \outerproduct + +\DeclareDocumentCommand\expectationvalue{ m g }{ % Expectation value + \IfNoValueTF{#2} + {\left\langle{#1}\right\rangle} + {\left\langle{#2}\middle\vert{#1}\middle\vert{#2}\right\rangle} + } +\DeclareDocumentCommand\expval{}{\expectationvalue} % Shorthand for \expectationvalue +\DeclareDocumentCommand\ev{}{\expectationvalue} % Shorthand for \expectationvalue +\DeclareDocumentCommand\vev{ m }{\expectationvalue{#1}{0}} % Vacuum expectation value + +\DeclareDocumentCommand\matrixelement{ m m m }{\left\langle{#1}\middle\vert{#2}\middle\vert{#3}\right\rangle} % Matrix element +\DeclareDocumentCommand\matrixel{}{\matrixelement} % Shorthand for \matrixelement +\DeclareDocumentCommand\mel{}{\matrixelement} % Shorthand for \matrixelement +\DeclareDocumentCommand\homework{}{ % You can try it + \ensuremath{ + \div{\vb{E}}=\frac{\rho}{\epsilon_0} \qc + \div{\vb{B}}=0 \qc + \curl{\vb{E}}=-\pdv{\vb{B}}{t}\qc + \curl{\vb{B}}=\mu_0\vb{J}+\frac{1}{c^2}\pdv{\vb{E}}{t}\qc + H\ket{\Psi}=i\hbar\pdv{}{t}\ket{\Psi}, + \qq{all else follows.} + } +}
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