To search on Twitter you use
http://search.twitter.com
if you put in adam foster lotus
http://twitter.com/#!/search/adam%20foster%20lotus
you will be surprised and horrified to see "There are no Top Tweets for adam foster lotus"
which is frankly ridiculous.
So a better way to search is:
http://www.google.co.uk/#sclient=psy&hl=en&source=hp&q=site%3Atwitter.com%2FAdamFoster+Lotus&fp=6f27533496c659e0&bav=on.2,or.r_gc.r_pw.&cad=b&filter=0
The site%3A is site: which is twitter.com/adamfoster then + the keywords "Lotus" and add &filter=0 on the end to get all results.