Joseph Avron

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Joseph Avron

Joseph Avron , also Yosi Avron, (* 1948 in Tel Aviv ) is an Israeli mathematical physicist .

Avron earned his bachelor's degree from Technion in 1970 and received his PhD there in 1976. As a post-doctoral student, he was a Wigner Fellow at Princeton University in 1976/77 . From 1975 to 1978 he was at the Negev Nuclear Research Center and from 1978 he conducted research at the Technion. In 1980/81 he was a visiting professor (assistant professor) at Princeton and from 1980 to 1982 at Caltech (and again from 1987 to 1989). In 1983 he became assistant professor and in 1988 professor at the Technion. Since 2007 he has headed the physics faculty.

He deals theoretically and in computer simulations with quantum engineering , the application of quantum mechanics to mesoscopic phenomena in solid state physics such as in the quantum Hall effect and topological effects that play a role there, various adiabatic quantum systems, quantum transport phenomena in lattices such as the Hofstadter butterfly as an example of a quantum phase diagram with an infinite number of phases.

Avron is also looking at biomechanics, such as swimming in low Reynolds numbers as in the case of bacteria. There he developed micro swimmer models and investigated optimal swimming. Similarly, he also followed the geometrical idea of ​​locomotion in one-dimensional Fermi fluids, in which the movement is quantized, or deformable bodies in empty curved spaces.

He is married and has three children.

Fonts

  • with Ruedi Seiler , Barry Simon : Charge deficiency, Charge Transport and Comparison of Dimensions, Comm. Math. Phys., Vol. 159, 1994, p. 399
  • with Daniel Osadchy, Ruedi Seiler A topological look at the Quantum Hall Effect , Physics Today, August 2003, p. 38
  • with J. Segert, Lorenzo Sadun, B. Simon: Chern numbers, Quaternions and Berry's phase in Fermi systems , Commun. Math. Phys., Vol. 124, 1989, pp. 595-627
  • with L. Sadun: Fredholm Indices and the Phase Diagram of Quantum Hall Systems , J. Math. Phys. 42, 1-14, (2001)
  • with L. Sadun: Adiabatic curvature and the S-Matrix , Commun. Math. Phys. 181, 685-7102, (1996)
  • with Seiler, LG Yaffe: Adiabatic theorems and applications to the quantum Hall effect , Commun. Math. Phys., Volume 110, 1987, pp. 33-49,
  • with R. Seiler: Quantization of the Hall conductance for general multiparticle Schrodinger operators , Phys. Rev. Lett. 54, 1985, 259-262
  • with R. Seiler, B. Simon: Homotopy and quantization in condensed matter physics, Phys. Rev. Lett. 51, 1983, 51-54
  • with IW Herbst: Spectral and scattering theory of Schrodinger operators related to the Stark effect, Commun. Math. Phys. 52, 1977, 239-254
  • with O. Kenneth: Entanglement and the geometry of 2 qubits , Annals of Physics, Volume 324, 2009, 470-496

Web links

Individual evidence

  1. ↑ Avron, Osadchy Hofstadter butterfly as quantum phase diagram , J. Math. Phys. 42, 5665-5671, (2001)
  2. ↑ Avron, O. Kenneth. D. Oaknin Pushmepullyou: An efficient micro-swimmer , New J. Phys. 7, 234, (2005)
  3. ↑ Avron, O. Raz A geometric theory of swimming: Purcell's swimmer and its symmetrized cousin , New J. Phys. 10, 063016, (2008)
  4. ↑ Avron, Raz Sailing, Swimming Pumping and Gliding at low Reynolds numbers , New J. Phys. 9, 437, (2007)
  5. ↑ Avron, O. Gat, O. Kenneth Optimal swimming at low Reynolds numbers , Phys. Rev. Lett. 93, 186001, (2004)
  6. ↑ Avron, B. Gutkin, D. Oaknin Adiabatic swimming in an ideal quantum gas , Phys. Rev. Lett., Volume 96, 2006, 130602
  7. ^ Avron, O. Kenneth Swimming in curved space Or The Baron and the Cat , New J. Phys. 8, 68, (2006), Arxiv
personal data
SURNAME Avron, Joseph
BRIEF DESCRIPTION Israeli mathematical physicist
DATE OF BIRTH 1948
PLACE OF BIRTH Tel Aviv