lcsim/src/org/lcsim/contrib/JanStrube/vtxFitter

diff -N vtxDerivatives.mw
--- /dev/null	1 Jan 1970 00:00:00 -0000
+++ vtxDerivatives.mw	26 Jul 2006 20:50:57 -0000	1.1
@@ -0,0 +1,298 @@

+<?xml version="1.0" encoding="UTF-8"?>
+<Worksheet>
+<Version major="7" minor="1"/>
+<Label-Scheme value="2" prefix=""/>
+<View-Properties presentation="false"></View-Properties>
+<MapleNet-Properties warnlevel="3" longdelim="true" plotoptions="" echo="1" errorcursor="false" elisiontermsthreshold="10000" elisiontermsbefore="100" errorbreak="1" prettyprint="3" prompt="&gt; " latexwidth="6.0" useclientjvm="true" ansi="false" screenheight="25" labelwidth="20" plotdevice="inline" typesetting="standard" displayprecision="-1" indentamount="4" elisiondigitsthreshold="10000" quiet="false" plotoutput="terminal" rtablesize="10" preplot="" showassumed="1" plotdriver="openviz" elisiontermsafter="100" labelling="true" postplot="" screenwidth="79" elisiondigitsbefore="100" elisiondigitsafter="100" verboseproc="1" imaginaryunit="I" ShowLabels="true"/>
+<Styles><Font name="Heading 4" background="[255,255,255]" bold="false" executable="false" family="Serif" foreground="[0,0,0]" italic="true" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/>
+<Font name="Ordered List 5" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/>
+<Font name="Ordered List 1" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/>
+<Font name="Text Output" background="[255,255,255]" bold="false" executable="false" family="Monospaced" foreground="[0,0,255]" italic="false" opaque="false" readonly="true" size="12" subscript="false" superscript="false" underline="false"/>
+<Font name="Bullet Item" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/>
+<Font name="Equation Label" background="[255,255,255]" bold="true" executable="false" family="Monospaced" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/>
+<Font name="Author" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/>
+<Font name="Text" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/>
+<Font name="Diagnostic" background="[255,255,255]" bold="false" executable="false" family="Monospaced" foreground="[40,120,40]" italic="false" opaque="false" readonly="true" size="12" subscript="false" superscript="false" underline="false"/>
+<Font name="Heading 2" background="[255,255,255]" bold="true" executable="false" family="Serif" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="16" subscript="false" superscript="false" underline="false"/>
+<Font name="Page Number" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="10" subscript="false" superscript="false" underline="false"/>
+<Font name="Ordered List 3" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/>
+<Font name="Maple Plot" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/>
+<Font name="Normal" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/>
+<Font name="Maple Input" background="[255,255,255]" bold="true" executable="true" family="Monospaced" foreground="[255,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/>
+<Font name="Annotation Title" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="18" subscript="false" superscript="false" underline="false"/>
+<Font name="2D Output" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,255]" italic="false" opaque="false" readonly="true" size="12" subscript="false" superscript="false" underline="false"/>
+<Font name="2D Inert Output" background="[255,255,255]" bold="false" executable="true" family="Times New Roman" foreground="[144,144,144]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/>
+<Font name="Dictionary Hyperlink" background="[255,255,255]" bold="false" executable="false" family="Serif" foreground="[147,0,15]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="true"/>
+<Font name="Dash Item" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/>
+<Font name="Heading 3" background="[255,255,255]" bold="true" executable="false" family="Serif" foreground="[0,0,0]" italic="true" opaque="false" readonly="false" size="14" subscript="false" superscript="false" underline="false"/>
+<Font name="Ordered List 4" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/>
+<Font name="Maple Output" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/>
+<Font name="List Item" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/>
+<Font name="2D Input" background="[255,255,255]" bold="false" executable="true" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/>
+<Font name="Line Printed Output" background="[255,255,255]" bold="false" executable="false" family="Monospaced" foreground="[0,0,255]" italic="false" opaque="false" readonly="true" size="12" subscript="false" superscript="false" underline="false"/>
+<Font name="Maple Input Placeholder" background="[255,255,255]" bold="true" executable="true" family="Monospaced" foreground="[200,0,200]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/>
+<Font name="2D Math" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/>
+<Font name="Error" background="[255,255,255]" bold="false" executable="false" family="Monospaced" foreground="[255,0,255]" italic="false" opaque="false" readonly="true" size="12" subscript="false" superscript="false" underline="false"/>
+<Font name="Warning" background="[255,255,255]" bold="false" executable="false" family="Monospaced" foreground="[0,0,255]" italic="false" opaque="false" readonly="true" size="12" subscript="false" superscript="false" underline="false"/>
+<Font name="Heading 1" background="[255,255,255]" bold="true" executable="false" family="Serif" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="18" subscript="false" superscript="false" underline="false"/>
+<Font name="Annotation Text" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/>
+<Font name="Title" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="18" subscript="false" superscript="false" underline="false"/>
+<Font name="Ordered List 2" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/>
+<Font name="Hyperlink" background="[255,255,255]" bold="false" executable="false" family="Serif" foreground="[0,128,128]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="true"/>
+<Layout name="Ordered List 5" alignment="left" bullet="ROMAN" firstindent="0" leftmargin="144" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="-1"/>
+<Layout name="Heading 4" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0"/>
+<Layout name="Text Output" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="newline" pagebreak-before="false" initial="0"/>
+<Layout name="Ordered List 1" alignment="left" bullet="numeric" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="-1"/>
+<Layout name="Annotation Title" alignment="centred" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="12" spacebelow="12" linebreak="space" pagebreak-before="false" initial="0"/>
+<Layout name="Bullet Item" alignment="left" bullet="dot" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="0"/>
+<Layout name="Author" alignment="centred" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="8" spacebelow="8" linebreak="space" pagebreak-before="false" initial="0"/>
+<Layout name="Dash Item" alignment="left" bullet="dash" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="0"/>
+<Layout name="Heading 3" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0"/>
+<Layout name="Diagnostic" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="any" pagebreak-before="false" initial="0"/>
+<Layout name="Ordered List 4" alignment="left" bullet="ALPHABETIC" firstindent="0" leftmargin="108" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="-1"/>
+<Layout name="Maple Output" alignment="centred" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.3" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0"/>
+<Layout name="Line Printed Output" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="any" pagebreak-before="false" initial="0"/>
+<Layout name="List Item" alignment="left" bullet="indent" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="0"/>
+<Layout name="Heading 2" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="8" spacebelow="2" linebreak="space" pagebreak-before="false" initial="0"/>
+<Layout name="Ordered List 3" alignment="left" bullet="roman" firstindent="0" leftmargin="72" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="-1"/>
+<Layout name="Error" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0"/>
+<Layout name="Maple Plot" alignment="centred" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0"/>
+<Layout name="Warning" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0"/>
+<Layout name="Heading 1" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="8" spacebelow="4" linebreak="space" pagebreak-before="false" initial="0"/>
+<Layout name="Title" alignment="centred" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="12" spacebelow="12" linebreak="space" pagebreak-before="false" initial="0"/>
+<Layout name="Ordered List 2" alignment="left" bullet="alphabetic" firstindent="0" leftmargin="36" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="-1"/>
+<Layout name="Normal" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0"/>
+<Pencil-style name="Pencil 3" pen-color="[0,0,0]" pen-height="3.0" pen-width="3.0" pen-opacity="1.0"/>
+<Pencil-style name="Pencil 1" pen-color="[0,0,0]" pen-height="1.0" pen-width="1.0" pen-opacity="1.0"/>
+<Pencil-style name="Pencil 5" pen-color="[255,0,0]" pen-height="5.0" pen-width="5.0" pen-opacity="1.0"/>
+<Pencil-style name="Pencil 2" pen-color="[0,0,255]" pen-height="1.0" pen-width="1.0" pen-opacity="1.0"/>
+<Pencil-style name="Pencil 4" pen-color="[0,0,255]" pen-height="3.0" pen-width="3.0" pen-opacity="1.0"/>
+<Highlighter-style name="Highlighter 2" pen-color="[255,204,0]" pen-height="14.0" pen-width="14.0" pen-opacity="0.8"/>
+<Highlighter-style name="Highlighter 4" pen-color="[0,255,255]" pen-height="32.0" pen-width="32.0" pen-opacity="0.8"/>
+<Highlighter-style name="Highlighter 3" pen-color="[51,255,0]" pen-height="24.0" pen-width="24.0" pen-opacity="0.8"/>
+<Highlighter-style name="Highlighter 1" pen-color="[255,153,255]" pen-height="12.0" pen-width="8.0" pen-opacity="0.8"/>
+<Highlighter-style name="Highlighter 5" pen-color="[255,255,0]" pen-height="48.0" pen-width="48.0" pen-opacity="0.8"/>
+</Styles>
+<Task-table>
+    <Task-category name="&lt;default&gt;">
+    </Task-category>
+</Task-table>
+<Group labelreference="L14" drawlabel="true">
+<Input>
+<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="restart; 1" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEocmVzdGFydEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNjBRIjtGJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUlZm9ybUdRJmluZml4RicvJSdsc3BhY2VHUSQwZW1GJy8lJ3JzcGFjZUdRL3RoaWNrbWF0aHNwYWNlRicvJShtaW5zaXplR1EiMUYnLyUobWF4c2l6ZUdRKWluZmluaXR5Ric=">QyRJKHJlc3RhcnRHJSpwcm90ZWN0ZWRHIiIi</Equation></Text-field>
+</Input>
+</Group>
+<Group labelreference="L1" drawlabel="true">
+<Input>
+<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="tanLambda := pz/pt; 1" display="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">QyQ+SSp0YW5MYW1iZGFHNiIqJkkjcHpHRiUiIiJJI3!
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+</Input>
+<Output>
+<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">KiZJI3B6RzYiIiIiSSNwdEdGJCEiIg==</Equation></Text-field>
+</Output>
+</Group>
+<Group labelreference="L2" drawlabel="true">
+<Input>
+<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="z0 := z-l*pz/pt; 1" display="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!
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lcsim/src/org/lcsim/contrib/JanStrube/vtxFitter

diff -u -r1.3 -r1.4
--- vertexing.lyx	19 Jul 2006 08:17:03 -0000	1.3
+++ vertexing.lyx	26 Jul 2006 20:50:57 -0000	1.4
@@ -3,6 +3,9 @@

 \begin_document
 \begin_header
 \textclass article

+\begin_preamble
+\newcommand{\dd}{\ensuremath{\mathrm{d}\,}}
+\end_preamble

 \language english
 \inputencoding auto
 \fontscheme default

@@ -11,7 +14,7 @@

 \spacing single
 \papersize default
 \use_geometry false

-\use_amsmath 2

+\use_amsmath 1

 \cite_engine basic
 \use_bibtopic false
 \paperorientation portrait

@@ -270,28 +273,85 @@

 
 \end_layout
 

+\begin_layout Subsubsection
+A note on unit conversion
+\end_layout
+

 \begin_layout Standard

-with the unit conversion constant 
-\begin_inset Formula $a=p_{t}/(qB_{z}r)$

+The unit conversion factor 
+\begin_inset Formula $a$
+\end_inset
+
+ by definition:
+\begin_inset Formula \[
+a=\frac{p_{t}}{qB_{z}r}=\text{const.}\]
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+In SI units, 
+\begin_inset Formula $[p_{t}]=\text{kg}\text{m}\text{s}^{-1}$
+\end_inset
+
+, 
+\begin_inset Formula $[r]=\mathrm{m}$

 \end_inset
 

- and therefore 

+, 
+\begin_inset Formula $[q]=\mathrm{C}=\mathrm{A}\mathrm{s}$
+\end_inset
+
+, 
+\begin_inset Formula $[B_{z}]=\mathrm{T}=\text{kg}/\mathrm{A}\mathrm{s}^{2}$
+\end_inset
+
+.
+ From this it is easy to see that 

 \begin_inset Formula $[a]=1$
 \end_inset
 

-, specifically 
-\begin_inset Formula $a=\text{GeV}/(ce\text{ T mm})=3335.641$

+.
+ The specific value of a now depends on your choice of units.
+ Obviously, in SI units 
+\begin_inset Formula $a=1$

 \end_inset
 

-, where 
-\begin_inset Formula $c$

+.
+\end_layout
+
+\begin_layout Standard
+Now in LCIO, 
+\begin_inset Formula $[p]=\text{GeV}/c$
+\end_inset
+
+, 
+\begin_inset Formula $[r]=\mathrm{mm}$
+\end_inset
+
+, 
+\begin_inset Formula $[q]=e$
+\end_inset
+
+, 
+\begin_inset Formula $[B]=\mathrm{T}=\text{kg}/\mathrm{A}\mathrm{s}^{2}$
+\end_inset
+
+.
+ For notational convenience, we note that 
+\begin_inset Formula $\text{GeV}/e=\text{GV}=10^{9}\text{kg}\mathrm{m}^{2}/\mathrm{A}\mathrm{s}^{3}$

 \end_inset
 

- is the speed of light, and 
-\begin_inset Formula $e$

+.
+ With this, we have
+\begin_inset Formula \[
+a=\frac{p_{t}}{qB_{z}r}=\frac{10^{9}\text{kg}\mathrm{m}^{2}}{c\mathrm{A}\mathrm{s}^{3}}\frac{\mathrm{A}\mathrm{s}^{2}}{\text{kg}}\frac{1000}{\mathrm{m}}=\frac{10^{12}\mathrm{m}/\mathrm{s}}{c}\approx\frac{10^{12}\mathrm{m}/\mathrm{s}}{3\times10^{8}\mathrm{m}/\mathrm{s}}=3335.641\]
+

 \end_inset
 

- is the charge of the proton.

+

 \end_layout
 
 \begin_layout Subsection

@@ -435,7 +495,38 @@

 
 \begin_layout Standard
 With these conventions established, the derivatives wrt.

- the components of space and momentum can be written as follows:

+ the components of space and momentum are:
+\end_layout
+
+\begin_layout Standard
+\begin_inset Formula \begin{align*}
+\frac{\dd\tan(\lambda)}{\dd x} & =\frac{\dd\tan(\lambda)}{\dd y}=\frac{\dd\tan(\lambda)}{\dd z}=0\\
+\frac{\dd\tan(\lambda)}{\dd p_{x}} & =-\frac{p_{z}p_{x}}{p_{t}^{3}}\\
+\frac{\dd\tan(\lambda)}{\dd p_{y}} & =-\frac{p_{z}p_{y}}{p_{t}^{3}}\\
+\frac{\dd\tan(\lambda)}{\dd p_{z}} & =\frac{1}{p_{t}}\\
+\frac{\dd\phi_{0}}{\dd x} & =\frac{\tilde{p}_{x}aqB_{z}}{\tilde{p}_{t}^{2}}\\
+\frac{\dd\phi_{0}}{\dd y} & =\frac{\tilde{p}_{y}aqB_{z}}{\tilde{p}_{t}^{2}}\\
+\frac{\dd\phi_{0}}{\dd z} & =\frac{\dd\phi_{0}}{\dd p_{z}}=0\\
+\frac{\dd\phi_{0}}{\dd p_{x}} & =-\frac{\tilde{p}_{y}}{\tilde{p}_{t}^{2}}\\
+\frac{\dd\phi_{0}}{\dd p_{y}} & =\frac{\tilde{p}_{x}}{\tilde{p}_{t}^{2}}\\
+\frac{\dd\omega}{\dd x} & =\frac{\dd\omega}{\dd y}=\frac{\dd\omega}{\dd z}=\frac{\dd\omega}{\dd p_{z}}\\
+\frac{\dd\omega}{\dd p_{x}} & =-\frac{aqB_{z}p_{x}}{p_{t}^{3}}\\
+\frac{\dd\omega}{\dd p_{y}} & =-\frac{aqB_{z}p_{y}}{p_{t}^{3}}\\
+\frac{\dd d_{0}}{\dd x} & =-\frac{\tilde{p}_{y}}{\tilde{p}_{t}}\\
+\frac{\dd d_{0}}{\dd y} & =\frac{\tilde{p}_{x}}{\tilde{p}_{t}}\\
+\frac{\dd d_{0}}{\dd z} & =\frac{\dd d_{0}}{\dd p_{z}}=0\\
+\frac{\dd d_{0}}{\dd p_{x}} & =\frac{1}{aqB_{z}}(\frac{p_{x}}{p_{t}}-\frac{\tilde{p}_{x}}{\tilde{p}_{t}})\\
+\frac{\dd d_{0}}{\dd p_{y}} & =\frac{1}{aqB_{z}}(\frac{p_{y}}{p_{t}}-\frac{\tilde{p}_{y}}{\tilde{p}_{t}})\\
+\frac{\dd z_{0}}{\dd x} & =-\frac{p_{z}\tilde{p}_{x}}{\tilde{p}_{t}^{2}}\\
+\frac{\dd z_{0}}{\dd y} & =-\frac{p_{z}\tilde{p}_{y}}{\tilde{p}_{t}^{2}}\\
+\frac{\dd z_{0}}{\dd z} & =1\\
+\frac{\dd z_{0}}{\dd p_{x}} & =-\frac{p_{z}}{aqB_{z}}(\frac{p_{y}}{p_{t}^{2}}-\frac{\tilde{p}_{y}}{\tilde{p}_{t}^{2}})\\
+\frac{\dd z_{0}}{\dd p_{y}} & =\frac{p_{z}}{aqB_{z}}(\frac{p_{x}}{p_{t}^{2}}-\frac{\tilde{p}_{x}}{\tilde{p}_{t}^{2}})\\
+\frac{\dd z_{0}}{\dd p_{z}} & =-\frac{l}{p_{t}}\end{align*}
+
+\end_inset
+
+

 \end_layout
 
 \begin_layout Section