Thanks for your reply, frankdux; you made an important point. The fact is that it took some time to discover that my real interest was in math, not physics. The decision for a second Ph. D. comes after extensive discussions with teachers, etc. It appears from what you say that I'll have to justify this switch in my statement of purpose (and also hope that my letter writers write something about it). Is there any other way I could avoid schools thinking negatively about my application?
Also, technically speaking, I will not have had my Ph. D. degree while applying. (I expect it by April 2010.) Would it then be more appropriate not to highlight that in my application?
Thanks,
Girish.