Mark Azbel
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Mark Yakovlevich Azbel (russian: Марк Яковлевич Азбель; 12 May 1932 — 31 March 2020) was a Soviet and Israeli physicist. He was a member of the American Physical Society. Between 1956 and 1958, he experimentally demonstrated
cyclotron resonance Cyclotron resonance describes the interaction of external forces with charged particles experiencing a magnetic field, thus already moving on a circular path. It is named after the cyclotron, a cyclic particle accelerator that utilizes an oscillati ...
in metals, and worked out its theoretical basis. Azbel's 1964 analysis of Bloch electrons in a magnetic field contained ideas which were prescient of both the renormalization group and (though he did not make this explicit) the possibility of a fractal that was eventually discovered by Douglas Hofstadter and later called
Hofstadter's butterfly In condensed matter physics, Hofstadter's butterfly is a graph of the spectral properties of non-interacting two-dimensional electrons in a perpendicular magnetic field in a lattice. The fractal, self-similar nature of the spectrum was discovered ...
.


Biography

Azbel was born in 1932, in
Kharkiv Kharkiv ( uk, wikt:Харків, Ха́рків, ), also known as Kharkov (russian: Харькoв, ), is the second-largest List of cities in Ukraine, city and List of hromadas of Ukraine, municipality in Ukraine.Ukrainian Soviet Socialist Republic The Ukrainian Soviet Socialist Republic ( uk, Украї́нська Радя́нська Соціалісти́чна Респу́бліка, ; russian: Украи́нская Сове́тская Социалисти́ческая Респ ...
) to a family of physicians. From 1941, aged 9 to 12, he and his family lived under wartime evacuation in (
Siberia Siberia ( ; rus, Сибирь, r=Sibir', p=sʲɪˈbʲirʲ, a=Ru-Сибирь.ogg) is an extensive region, geographical region, constituting all of North Asia, from the Ural Mountains in the west to the Pacific Ocean in the east. It has been a ...
). In 1944, the family returned to Kharkiv. In 1948 Azbel graduated from high school and in the same year entered the
National University of Kharkiv The Kharkiv University or Karazin University ( uk, Каразінський університет), or officially V. N. Karazin Kharkiv National University ( uk, Харківський національний університет імені ...
. After graduation, he taught mathematics at evening school. In 1958, he defended his doctorate (Doctor of Physical and Mathematical Sciences) under the supervision of
Lev Landau Lev Davidovich Landau (russian: Лев Дави́дович Ланда́у; 22 January 1908 – 1 April 1968) was a Soviet-Azerbaijani physicist of Jewish descent who made fundamental contributions to many areas of theoretical physics. His ac ...
and
Pyotr Kapitsa Pyotr Leonidovich Kapitsa or Peter Kapitza ( Russian: Пётр Леонидович Капица, Romanian: Petre Capița ( – 8 April 1984) was a leading Soviet physicist and Nobel laureate, best known for his work in low-temperature physics ...
. In 1964 he began working at
Moscow State University M. V. Lomonosov Moscow State University (MSU; russian: Московский государственный университет имени М. В. Ломоносова) is a public research university in Moscow, Russia and the most prestigious ...
and concurrently as a section chair at the
Landau Institute for Theoretical Physics The L. D. Landau Institute for Theoretical Physics (russian: link=no, Институт теоретической физики имени Л. Д. Ландау (ИТФ)) of the Russian Academy of Sciences is a research institution, located in the s ...
. In 1972, Azbel applied for emigration from the Soviet Union to Israel, and in 1973 (a full four years before leaving the Soviet Union) was appointed a lecturer at
Tel Aviv University Tel Aviv University (TAU) ( he, אוּנִיבֶרְסִיטַת תֵּל אָבִיב, ''Universitat Tel Aviv'') is a public research university in Tel Aviv, Israel. With over 30,000 students, it is the largest university in the country. Locate ...
, where he initially gave his lectures by telephone. Having been refused exit permission from the Soviet Union, he participated in the movement of
refusenik Refusenik (russian: отказник, otkaznik, ; alternatively spelt refusnik) was an unofficial term for individuals—typically, but not exclusively, Soviet Jews—who were denied permission to emigrate, primarily to Israel, by the authori ...
s in the USSR in the mid-seventies. Azbel finally emigrated from the USSR in 1977 and was appointed Professor at
Tel Aviv University Tel Aviv University (TAU) ( he, אוּנִיבֶרְסִיטַת תֵּל אָבִיב, ''Universitat Tel Aviv'') is a public research university in Tel Aviv, Israel. With over 30,000 students, it is the largest university in the country. Locate ...
. He lived mainly in Israel until his death in 2020.


Scientific contributions

Azbel was a theoretical physicist. His areas of study included the quantum physics of electrons in metals, and he made the first prediction of cyclotron resonance in metals, now widely known as the Azbel-Kaner resonance. In an important 1964 article, Azbel made conjectures about the nature of the Harper spectrum which contributed to the discovery of the Hofstadter butterfly in 1974.


Works

* * *


Awards and Prizes

*Lomonosov Prize, 1966 *Lomonosov Prize, 1968 *Landau Prize, Israel, 1989 *Humboldt Prize, Germany, 2001


References


External links


Институт теоретической физики им. Ландау


* ttps://jewish.ru/ru/people/science/192613/ Физик, хам, антисоветчик {{DEFAULTSORT:Azbel, Mark 1932 births 2020 deaths Scientists from Kharkiv Academic staff of Moscow State University Tel Aviv University faculty National University of Kharkiv alumni Soviet physicists Israeli physicists Refuseniks American Physical Society