I am a researcher in quantum information theory based at Royal holloway, University of London. I have worked in applied mathematics, quantum information theory, and condensed matter physics for the past eight or so years.
Inspired by the recent discussions (see, eg., Michael Nielsen’s blog postings) surrounding open science I have decided to start a weblog containing my research notes. I intend to post my notes on my various research projects along with some expository material. It is my hope that this weblog can become a forum for open discussion and research. Thus I would like to strongly encourage you to comment, contribute, and collaborate! If you make any progress on the ideas or open problems discussed on this site then please let me know via the comments: I am more than happy for anything here to become a joint project, the more the merrier! (After all, it might be easier to write a joint paper with the collaborators on this site rather than rewriting everything yourself…) I also hope to encourage guest posts and invite contributors.
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I like your blog. I am really in to math even though I am only 14 and Maybe one day I will discover new things like you are doing.
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Hello Sir
i am a phd student working in condesed matter physics
i thank you for the sharing your lecture notes on variational principles in quantum mechanics.
they proved to be very helpful in understanding many things .
particularly they helped to get a better understanding of DMRG.
i would like to know whether renormalization procedure itself can be thought in terms of variational principle?
best regards
rukhsan
ps can i have your mail id!
Dear rukhsan,
Many thanks for your email and your interest!
To answer your question: “i would like to know whether renormalization procedure itself can be thought in terms of variational principle?”
I think the answer is not clear at the moment: some RG schemes are like variational principles, but, e.g., Wilson’s original momentum space RG is not obviously connected. So there is still work to do to find a connection…
Sincerely,
Tobias