Hal Tasaki

Department of Physics, Gakushuin University

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mailing address: Department of Physics, Gakushuin University, 171-8588, JAPAN

phone: 81-3-3986-0221 (ex. 6485)

fax: 81-3-5992-1029 (Department of Physics)

e-mail: hal.tasaki@gakushuin.ac.jp

Research Topics

Main topics and their detais follow. There is also a list of selected publications.

• Derivation of (equilibrium) statistical physics from quantum dynamics
• Ferromagnetism in the Hubbard model
• Haldane gap in quantum spin chains
• General theories about symmetry breaking in quantum many-body systems
• Percolation and other stochastic geometric systems
• Phase transition and critical phenomena in classical spin systems

Related web pages

• Mathematical Physics Electric Journal
• Quantum spin systems web page by Tom Kenndy and Bruno Nachtergaele (Japanese mirror on this server)

Recently...

• (12/31/1997) Among my plans has been to study and understand thermodynamics deeply. Since i will be teaching thermodyamics in the coming academic year, I have finally started studying it. Apart from standard textbooks, I am also studying the axiomatic approach of Lieb and Yngvason (Archived as cond-mat/9708200. Link to server in US, Italy, Japan.), which seems quite deep.
• (12/18/97) Two reviews about the Hubbard model
  • From Nagaoka's ferromagnetism to flat-band ferromagnetism and beyond: An introduction to ferromagnetism in the Hubbard model
    (Archived as cond-mat/9712219. Link to server in US, Italy, Japan.)
  • The Hubbard Model: Introduction and Selected Rigorous Results
    (Archived as cond-mat/9512169. Link to server in US, Italy, Japan.)
  are now ready. "From Nagaoka's ferromagnetism..." is a self-caontained review, which I hope to be readable to those who have been working on other areas of physics or mathematical physics, and are interested in the Hubbard model.
  I will finish the full paper (for my letter in 1995 about the ferromagnetism in non-singular Hubbard models) within 1998!
• (12/17/97) My first paper about the derivation of the canonical distribution from quantum dynamics was accepted for publication in Phys. Rev. Lett. The final version is in the archive. (Archived as cond-mat/9707253. Link to server in US, Italy, Japan.)
• (12/16/97) I was visiting the United States for ten days. This was the first visit after I left Princeton nine years ago, and was quite fruitful both scientifically and personally.
• Some time ago...