tag:blogger.com,1999:blog-13869903.post7983979971494808346..comments2024-03-28T04:15:44.459-05:00Comments on nanoscale views: Recurring themes in (condensed matter/nano) physics: boundary conditionsDouglas Natelsonhttp://www.blogger.com/profile/13340091255404229559noreply@blogger.comBlogger2125tag:blogger.com,1999:blog-13869903.post-27038896468395022952014-03-31T12:49:38.238-05:002014-03-31T12:49:38.238-05:00Anzel - That's cute. I think we already see a...Anzel - That's cute. I think we already see an example of this when looking at the free electron gas, at least in the statistical limit of density of states for higher levels. It doesn't matter whether you choose hard wall or periodic boundary conditions - the resulting dos is the same.Douglas Natelsonhttps://www.blogger.com/profile/13340091255404229559noreply@blogger.comtag:blogger.com,1999:blog-13869903.post-78877063615361555972014-03-29T07:20:05.111-05:002014-03-29T07:20:05.111-05:00I think one of my favorite results in this whole f...I think one of my favorite results in this whole field was the fact that the spectrum does not uniquely define the boundary conditions--the famous "can you hear the shape of a drum" problem by Mark Kac.<br /><br />http://en.wikipedia.org/wiki/Hearing_the_shape_of_a_drumAnzelhttps://www.blogger.com/profile/11518178405267774499noreply@blogger.com