% alun määritelmät sallivat latex-kaavojen suoran siirron tähän % plain-tex documenttiin: % - yksirivinen latex kaava: suoraan muuttumattomana, edellyttäen % että label on mukana, juuri ennen \end{equation} lausetta % - useampiriviset kaavat: lisää ennen varsinaista kaavaa \eqalign{ % ja perään }, sekä poista toiset &. %\magnification=1200 \input epsf.def %needed only for post script figures \hsize=16.5truecm \vsize=25truecm \def\tensor#1{\bar{\bar{#1}}} \def\begin#1{$$} \def\label#1#2#3{$$} \def\section#1{{\bf #1}} \def\ref#1{} \def\cite#1{} \def\nonumber{} \def\mbox{} \def\\{\cr} \parindent=0pt Matalien l\"amp\"otilojen fysiikan teoria (Kyl-0.104)\hfil Autumn 2000\break Electronic transport in mesoscopic systems\hfil Exercise set 6\break \parindent=20pt \bigskip 1. Exercise E.3.1 from Datta's book. There is a misprint, $b=-(1+c)/2$ (you will see this in exercise E.3.7). \bigskip 2. Exercise E.3.2 from Datta's book. Note that there should read infinite wire instead of semi-infinite wire (the semi-infinite wire will be considered in the following exercise E.3.3). \bigskip 3. Exercise E.3.7 from Datta's book. Verify the misprint pointed out in exercise 1 above. You are allowed to skip part c. Why the peaks in the energy spectrum are so sharp? \bigskip \end