Krishna Ayyalasomayajula
1c1a575f6e
Add Chapter 3 with 13 concept files covering: - HJ Fundamentals: derivation, separation, action-angle, EM coupling - Mechanics problems: free particle, projectile, SHO, Kepler, rigid rotator - EM problems: uniform E-field, cyclotron, E×B drift, Coulomb Also: manifest update (13 entries), macro additions (HJ + \bm + \dd override), unicode cleanup, compilation fixes.
47 lines
1.8 KiB
TeX
47 lines
1.8 KiB
TeX
\newcommand{\eps}{\epsilon}
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\newcommand{\veps}{\varepsilon}
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\newcommand{\Qed}{\begin{flushright}\qed\end{flushright}}
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\newcommand{\parinn}{\setlength{\parindent}{1cm}}
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\newcommand{\parinf}{\setlength{\parindent}{0cm}}
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% \newcommand{\norm}{\|\cdot\|}
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\newcommand{\inorm}{\norm_{\infty}}
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\newcommand{\opensets}{\{V_{\alpha}\}_{\alpha\in I}}
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\newcommand{\oset}{V_{\alpha}}
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\newcommand{\opset}[1]{V_{\alpha_{#1}}}
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\newcommand{\lub}{\text{lub}}
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\newcommand{\del}[2]{\frac{\partial #1}{\partial #2}}
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\newcommand{\Del}[3]{\frac{\partial^{#1} #2}{\partial^{#1} #3}}
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\newcommand{\deld}[2]{\dfrac{\partial #1}{\partial #2}}
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\newcommand{\Deld}[3]{\dfrac{\partial^{#1} #2}{\partial^{#1} #3}}
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\newcommand{\der}[2]{\frac{\mathrm{d} #1}{\mathrm{d} #2}}
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% \newcommand{\ddd}[3]{\frac{\mathrm{d}^{#3} #1}{\mathrm{d}^{#3} #2}}
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\newcommand{\lm}{\lambda}
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\newcommand{\uin}{\mathbin{\rotatebox[origin=c]{90}{$\in$}}}
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\newcommand{\usubset}{\mathbin{\rotatebox[origin=c]{90}{$\subset$}}}
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\newcommand{\lt}{\left}
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\newcommand{\rt}{\right}
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\newcommand{\bs}[1]{\boldsymbol{#1}}
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\newcommand{\exs}{\exists}
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\newcommand{\st}{\strut}
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\newcommand{\dps}[1]{\displaystyle{#1}}
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\newcommand{\id}{\text{id}}
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\newcommand{\sol}{\setlength{\parindent}{0cm}\textbf{\textit{Solution:}}\setlength{\parindent}{1cm} }
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\newcommand{\solve}[1]{\setlength{\parindent}{0cm}\textbf{\textit{Solution: }}\setlength{\parindent}{1cm}#1 \Qed}
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% === Hamilton-Jacobi notation ===
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\newcommand{\Sdel}[1]{\pdv{S}{#1}}
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\newcommand{\Sdelo}[2]{\pdv[#1]{S}{#2}}
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\newcommand{\Jact}[1]{J_{#1}}
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\newcommand{\wangle}[1]{w_{#1}}
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\newcommand{\sepconst}[1]{\alpha_{#1}}
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\newcommand{\pbracket}[2]{\left\{#1,#2\right\}}
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\newcommand{\Lagrian}{\mathcal{L}}
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\newcommand{\bm}[1]{\mathbf{#1}}
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% === Safe differentials for Advanced chapter (no \@ifnextchar) ===
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\renewcommand{\dd}{\mathrm{d}}
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