#s,\\E{(.*?)},{E_{k $1}^\\nought},g ; #s/0\\ccube/_{0,\\textrm{ccube}}/g; #s/0\\iso/_{0,\\textrm{iso}}/g; #s/ENV/{(\\mathrm{E}, \\mathrm{N}, \mathrm{V})}/g ; #s/N_c/N_{\\mathrm{c}}/g ; #s/Ndown/N_{\\downarrow}/g ; #s/Nup/N_{\\uparrow}/g ; #s/P_D/\\hat{\\calP}_{\\textrm{Dirac}}/g; #s/P_r/P_{\\mathrm{rect}}/g ; #s/P_s/P_{\\mathrm{sin}}/g ; #s/\\0\b/{(0)}/g; #s/\\0bcs/0_{\\mathrm{BCS}}/g ; #s/\\12\b/\\frac{1}{2}/g; #s/\\1\b/{(1)}/g; #s/\\23\b/\\frac{2}{3}/g; #s/\\2\b/{(2)}/g; #s/\\32\b/\\frac{3}{2}/g; #s/\\AF/\\textrm{AF}/g; #s/\\Be\b/\\Bepsilon/g ; #s/\\Br_av/\\Br_{\\mathrm{av}}/g ; #s/\\Brm/\\Br - \\Br_m/g; #s/\\Brn/\\Br - \\Br_n/g; #s/\\DC/D_{\\mathrm{C}}/g ; #s/\\DD/\\mathcal{D}/g ; #s/\\DV/D_{\\mathrm{V}}/g ; #s/\\E0/{\\E_k^\\nought}/g ; #s/\\EC/E_{\\mathrm{C}}/g ; #s/\\ED/E_{\\mathrm{D}}/g ; #s/\\ES/E_{\\mathrm{S}}/g ; #s/\\EV/E_{\\mathrm{V}}/g ; #s/\\Eb/E_{\\mathrm{binding}}/g ; #s/\\Ed/E_{\\mathrm{d}}/g ; #s/\\Eg/E_{\\mathrm{g}}/g ; #s/\\Gamma_cav/\\Gamma_{\\mathrm{cav}}/g ; #s/\\Gamma_sp/\\Gamma_{\\mathrm{sp}}/g ; #s/\\Gamma_st/\\Gamma_{\\mathrm{st}}/g ; #s/\\Gamma_{cav}/\\Gamma_{\\mathrm{cav}}/g ; #s/\\Gamma_{sp}/\\Gamma_{\\mathrm{sp}}/g ; #s/\\Gamma_{st}/\\Gamma_{\\mathrm{st}}/g ; #s/\\Ha/\\hat{H}_A/g; #s/\\Hc/H_{\\mathrm{c}}/g ; #s/\\Hc/\\hat{H}/g; #s/\\II/\\mathcal{I}/g ; #s/\\LOS/{\\textrm{LOS}}/g; #s/\\L_/\\hat{L}_/g ; #s/\\L_m\b/\\hat{L}_{-}/g ; #s/\\L_p\b/\\hat{L}_{+}/g ; #s/\\L_pm\b/\\hat{L}_{\\pm}/g ; #s/\\L_x\b/\\hat{L}_x/g ; #s/\\L_y\b/\\hat{L}_y/g ; #s/\\L_z\b/\\hat{L}_z/g ; #s/\\ND/N_{\\mathrm{D}}/g ; #s/\\Nec/N_{\\mathrm{eff}}^{\\mathrm{C}}/g ; #s/\\Nev/N_{\\mathrm{eff}}^{\\mathrm{V}}/g ; #s/\\PP/\\mathcal{P}/g ; #s/\\Prad/P_{\\textrm{rad}}/g ; #s/\\R/\\hat{R}/g ; #s/\\Shat/\\hat{S}/g ; #s/\\TB/\\tilde{\\BB}/g; #s/\\TE/\\tilde{\\BE}/g; #s/\\TE/{\\textrm{TE}}/g; #s/\\TM/{\\textrm{TM}}/g; #s/\\Ta/\\hat{T}_{a}/g ; #s/\\Te/\\hat{T}_{\\epsilon}/g ; #s/\\Tme/\\hat{T}_{-\\epsilon}/g ; #s/\\Veff/V_{\\mathrm{eff}}/g ; #s/\\Veph/V_{\\mathrm{e,ph}}/g ; #s/\\at\b/{\\mathrm{at}}/g ; #s/\\aut/{\\textrm{AUT}}/g; #s/\\av\b/{\\textrm{av}}/g; #s/\\b(.)_/\\overbar{$1}_/g ; #s/\\bL/b_{\\mathrm{L}}/g ; #s/\\bT/b_{\\mathrm{T}}/g ; #s/\\bar(.)/\\overbar{$1}/g ; #s/\\bark\b/\\overbar{k}/g ; #s/\\barm\b/\\overbar{m}/g ; #s/\\barphi/\\overbar{\\phi}/g ; #s/\\bkF/\\Bk_{\\mathrm{F}}/g ; #s/\\bpF/\\Bp_{\\mathrm{F}}/g ; #s/\\btp/\\lr{ \\theta, \\phi }/g ; #s/\\bvF/\\Bv_{\\mathrm{F}}/g ; #s/\\ccube/{\\textrm{ccube}}/g; #s/\\cm\b/\\textrm{cm}/g ; #s/\\domega/\\sin\\theta d\\theta d\\phi/g ; #s/\\down\b/\\downarrow/g ; #s/\\down\b/\\ket{\\downarrow}/g ; #s/\\downdown\b/\\ket{\\downarrow \\downarrow}/g ; #s/\\downup\b/\\ket{\\downarrow \\uparrow}/g ; #s/\\ee/\\mathcal{E}/g ; #s/\\eff/{\\mathrm{eff}}/g ; #s/\\eq\b/{\\mathrm{eq}}/g ; #s/\\hBL/\\hat{\\BL}/g ; #s/\\hBP/\\hat{\\BP}/g ; #s/\\hBR/\\hat{\\BR}/g ; #s/\\hBp/\\hat{\\Bp}/g ; #s/\\hBr/\\hat{\\Br}/g ; #s/\\hatH/\\hat{H}/g ; #s/\\hatL/\\hat{L}/g ; #s/\\hatPi/\\hat{\\Pi}/g ; #s/\\hatS/\\hat{S}/g ; #s/\\hatT/\\hat{T}/g ; #s/\\hatp/\\hat{p}/g ; #s/\\hatr/\\hat{r}/g ; #s/\\hatrho\b/\\hat{\\rho}/g ; #s/\\hatrho_/\\hat{\\rho}_/g ; #s/\\hatx/\\hat{x}/g ; #s/\\haty/\\hat{y}/g ; #s/\\hb2m/\\frac{\\Hbar}{2m}/g; #s/\\i(\d)/{($1)}/g; #s/\\ik/{(k)}/g; #s/\\ik\+1/{(k+1)}/g; #s/\\ik\-1/{(k-1)}/g; #s/\\in\b/{\\textrm{in}}/g ; #s/\\inc\b/{\\textrm{inc}}/g ; #s/\\intsphere/\\int_0^{2 \\pi} \\int_0^\\pi/g ; #s/\\iso/{\\textrm{iso}}/g; #s/\\ketab\b/\\ket{a,b}/g ; #s/\\kpsi/\\ket{\\Psi}/g ; #s/\\ktpsi/\\ket{\\tilde{\\Psi}}/g ; #s/\\lambdaL/\\lambda_{\\mathrm{L}}/g ; #s/\\m\b/{-}/g ; #s/\\max\b/{\\mathrm{max}}/g ; #s/\\me/m_{\\mathrm{e}}/g ; #s/\\min\b/{\\mathrm{min}}/g ; #s/\\n *(\+|-|\\pm) *(\(\d *, *\d\))(\d)\b/{\\Bn $1 $2, $3}/g ; # \Bu_\n+(1,0)1 -> \Bu_{\Bn + (1,0), 1} #s/\\n *(\+|-|\\pm) *(\(\d *, *\d\))\b/{\\Bn $1 $2}/g ; # \Bu_\n+(1,0) -> \Bu_{\Bn + (1,0)} #s/\\n(\d)\b/{\\Bn, $1}/g ; # \Bu_\n1 -> \Bu_{\\Bn, 1} #s/\\n(\d)\b/{n, $1}/g ; #s/\\n-(\d)(\d)\b/{n - $1, $2}/g ; #s/\\n\+(\d)(\d)\b/{n + $1, $2}/g ; #s/\\n_/\\hat{n}_/g ; #s/\\na\b/{n, \\alpha}/g ; #s/\\nkd/_{-\\Bk \\downarrow}/g ; #s/\\nku/_{-\\Bk \\uparrow}/g ; #s/\\ns/n_{\\mathrm{s}}/g ; #s/\\oG/\\overbar{\\Gamma}/g; #s/\\oX/\\overbar{X}/g; #s/\\omegaD/\\omega_{\\mathrm{D}}/g ; #s/\\omegac/\\omega_{\\text{cutoff}}/g ; #s/\\omegan/\\omega_\\nought/g ; #s/\\or\b/\\overbar{r}/g; #s/\\p\b/{+}/g ; #s/\\phibar/\\overbar{\\phi}/g ; #s/\\pkd/_{\\Bk \\downarrow}/g ; #s/\\pku/_{\\Bk \\uparrow}/g ; #s/\\pp(.)/{($1)}/g ; #s/\\profE/Prof. Eleftheriades/g; #s/\\qL/q_{\\mathrm{L}}/g ; #s/\\qT/q_{\\mathrm{T}}/g ; #s/\\rcap_av/\\rcap_{\\mathrm{av}}/g ; #s/\\ref\b/{\\textrm{ref}}/g ; #s/\\rhoel/\\rho_{\\mathrm{el}}/g ; #s/\\rhohat\b/\\hat{\\rho}/g ; #s/\\rhohat_/\\hat{\\rho}_/g ; #s/\\rhoph/\\rho_{\\mathrm{ph}}/g ; #s/\\sg/{\\textrm{sg}}/g; #s/\\spacegrad_T/\\spacegrad_{\\mathrm{T}}/g ; #s/\\sup/{\\mathrm{sup}}/g ; #s/\\tm\b/\\tilde{m}/g ; #s/\\tmax\b/{\\textrm{max}}/g ; #s/\\tmin\b/{\\textrm{min}}/g ; #s/\\tn\b/\\tilde{n}/g ; #s/\\tot\b/{\\textrm{tot}}/g ; #s/\\tp/\\tilde{p}/g ; #s/\\tpsi/\\tilde{\\Psi}/g ; #s/\\trans\b/{\\textrm{trans}}/g ; #s/\\tu/\\tilde{u}/g ; #s/\\tx/\\tilde{x}/g ; #s/\\up\b/\\ket{\\uparrow}/g ; #s/\\up\b/\\uparrow/g ; #s/\\updown\b/\\ket{\\uparrow \\downarrow}/g ; #s/\\upup\b/\\ket{\\uparrow \\uparrow}/g ; #s/\\yz/{\\textrm{yz}}/g; #s/\\zx/{\\textrm{zx}}/g; #s/\^\\i(.)/^{($1)}/g; #s/\^a/^{(a)}/g; #s/\^b/^{(b)}/g; #s/\^classical/^{\\mathrm{classical}}/g ; #s/\bialpha\b/{i_\\alpha}/g ; #s/\tY\b/\\tilde{Y}/g ; #s/_B/_{\\mathrm{B}}/g ; #s/_BEC/_{\\mathrm{BEC}}/g ; #s/_CM/_{\\mathrm{CM}}/g ; #s/_E/_{\\mathrm{E}}/g ; #s/_F/_{\\mathrm{F}}/g ; #s/_G/_{\\mathrm{G}}/g ; #s/_T/_{\\mathrm{T}}/g ; #s/_V/_{\\mathrm{V}}/g ; #s/_\\I/_{\\mathrm{I}}/g; #s/_\\L/_\\txtL/g ; #s/_\\R/_{\\mathrm{R}}/g; #s/_\\T/_{\\mathrm{T}}/g; #s/_\\eff/_{\\mathrm{eff}}/g ; #s/_av/_{\\mathrm{av}}/g ; #s/_bath/_{\\text{bath}}/g ; #s/_c/_{\\mathrm{c}}/g ; #s/_classical/_{\\mathrm{classical}}/g ; #s/_corrected/_{\\mathrm{corrected}}/g ; #s/_coupling/_{\\text{coupling}}/g ; #s/_div/_{\\mathrm{div}}/g ; #s/_eo/_{\\textrm{eo}}/g ; #s/_final/_{\\mathrm{final}}/g ; #s/_full/_{\\text{full}}/g ; #s/_ideal/_{\\mathrm{ideal}}/g ; #s/_initial/_{\\mathrm{initial}}/g ; #s/_laser/_{\\mathrm{laser}}/g ; #s/_max/_{\\mathrm{max}}/g ; #s/_min/_{\\mathrm{min}}/g ; #s/_mo/_{\\textrm{mo}}/g ; #s/_osc/_{\\mathrm{osc}}/g ; #s/_ph/_{\\mathrm{ph}}/g ; #s/_quantum/_{\\mathrm{quantum}}/g ; #s/_subsystem/_{\\text{subsystem}}/g ; #s/_total/_{\\mathrm{total}}/g ; #s/k_B/k_{\\mathrm{B}}/g ; #s/n1/n_1/g ; #s/n2/n_2/g ; #s/n3/n_3/g ; #s/pialpha\b/p_{i_\\alpha}/g ; #s/pidotalpha/\\dot{p}_{i_\\alpha}/g ; #s/r\\ccube/_{r,\\textrm{ccube}}/g; #s/r\\iso/_{r,\\textrm{iso}}/g; #s/xialpha\b/x_{i_\\alpha}/g ; #s/xidotalpha/\\dot{x}_{i_\\alpha}/g ; #s/{QM}/{\\mathrm{QM}}/g ; s/[Ss]chro\b/Schr\\"{o}dinger/g; # Schrodinger s/[Ss]chrodinger/Schr\\"{o}dinger/g; # Schrodinger s/\\ee/\\epsilon/g ; s/ +$//;