HomeResearchKirill IlinskiKey results in physics and mathematicsK. Ilinski: Key results in physics and mathematics

K. Ilinski: Key results in physics and mathematics

Novel approach to modeling of dynamical systems of quasi-particles with slow creation/annihilation (retardation) by using q-deformed quantum statistics (quantum group particles or q-particles)

New relationship between non-commutative geometry and quantum field theory which is non-local in time with applications to condensed matter physics. Tribute to fashion of 90s.

K.N. Ilinski and V.M. Uzdin, “Note on physical sense of quantum group particles”, Phys.Lett. A 174 (1993), 179-181

K.N. Ilinski and A.S. Stepanenko, “q-Functional integrals in anionic physics”, Phys.Lett. A 232 (1994), 1-16

K.N. Ilinski, G.V. Kalinin and A.S. Stepanenko, “q-Functional field theory for particles with exotic statistics”, Phys.Lett. A 232 (1997), 399-408

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A fascinating book and an excellent read. Refreshingly different from the thousands of nondescript books on quantitative finance.

Paul Wilmott