Ilya Lifshitz

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Ilya Mikhailovich Lifshitz
Ilya Lifshitz.jpg
Born(1917-01-13)January 13, 1917
DiedOctober 23, 1982(1982-10-23) (aged 65)
Alma materUniversity of Kharkiv, Kharkiv Polytechnic Institute
Known forLifshitz tails
Lifshitz exponent
Lifshitz–Kosevich formula
spectral shift function
AwardsLenin prize
Scientific career
InstitutionsKharkov Institute of Physics and Technology Institute for Physical Problems
Doctoral advisorLev Landau
Doctoral studentsArnold Kosevich

Ilya Mikhailovich Lifshitz (Russian: Илья́ Миха́йлович Ли́фшиц; January 13, 1917 – October 23, 1982) was a leading Soviet theoretical physicist, brother of Evgeny Lifshitz. He is known for his works in solid state physics, electron theory of metals, disordered systems, and the theory of polymers.[1][2]


Together with Arnold Kosevich, Lifshitz established (1954) connection between the oscillation of magnetic characteristics of metals and the form of an electronic surface of Fermi (Lifshitz–Kosevich formula) from de Haas–van Alphen experiments.

Lifshitz was one of the founders of the theory of disordered systems.[3] He introduced some of the basic notions, such as self-averaging, and discovered what is now called Lifshitz tails and Lifshitz singularity.

In perturbation theory, Lifshitz introduced[4] the notion of spectral shift function, which was later developed by Mark Krein.

Starting from the late 1960-s, Lifshitz started considering problems of statistical physics of polymers. Together with his students Alexander Yu. Grosberg and Alexei R. Khokhlov, Lifshitz proposed a theory of coil-to-globule transition in homopolymers and derived the formula for the conformational entropy of a polymer chain (that is also referred to as Lifshitz entropy).[5]


  1. ^ Odijk, T. (1997). "Ilya M. Lifshitz. An appreciation". Physics Reports. 288 (1–6): 9–12. Bibcode:1997PhR...288....9O. doi:10.1016/S0370-1573(97)00019-7.
  2. ^ Grosberg, A. Yu.; Khokhlov, A. R. (1994). Statistical Physics of Macromolecules. Springer. ISBN 978-1-56396-071-0.
  3. ^ Gredeskul, S.A.; Pastur, L.A. (1985). "Works of I. M. Lifshitz on disordered systems". J. Stat. Phys. 38 (1/2): 25–36. Bibcode:1985JSP....38...25G. doi:10.1007/BF01017846. S2CID 121577109.
  4. ^ Lifshitz, I.M. (1952). "On a problem of the theory of perturbations connected with quantum statistics". Uspekhi Mat. Nauk. 7 (1 (47)): 171–180.
  5. ^ Some problems of the statistical physics of polymer chains with volume interaction. I. M. Lifshitz, A. Yu. Grosberg, and A. R. Khokhlov. Rev. Mod. Phys. 1978, 50, 683.

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