On Mon, Jan 07, 2008 at 02:48:35PM +0100, Mirek Dobsicek wrote: > > > > If quantum mechanics was done using a real-valued Hilbert space, you > > simply don't get wavelike interference patterns. > > To my knowledge, you don't get interference patterns for *positive* > real-valued Hilbert space, but for real-valued Hilbert space you do. > > > Check http://mina4-49.mc2.chalmers.se/~dobsicek/PhDThesis.pdf on page 39 > for a quick review and references. > > Sincerely, > Mirek >
Thanks for the info - I will take a look, when I'm on top of a few things. However, I'm not sure what you mean by positive real Hilbert space, as the positive real numbers do not form a field. I can only guess you mean some kind of non-Hilbert space generalisation, a bit like my non-Hilbert space non-commutative division ring gadgets I've alluded to in the past. Cheers -- ---------------------------------------------------------------------------- A/Prof Russell Standish Phone 0425 253119 (mobile) Mathematics UNSW SYDNEY 2052 [EMAIL PROTECTED] Australia http://www.hpcoders.com.au ---------------------------------------------------------------------------- --~--~---------~--~----~------------~-------~--~----~ You received this message because you are subscribed to the Google Groups "Everything List" group. To post to this group, send email to [EMAIL PROTECTED] To unsubscribe from this group, send email to [EMAIL PROTECTED] For more options, visit this group at http://groups.google.com/group/everything-list?hl=en -~----------~----~----~----~------~----~------~--~---
