Methods of mathematical physics, thermodynamics of homogeneous spaces, heat kernel theory.
Main publications:
V. V. Mikheyev, I. V. Shirokov. Application of Coadjoint Orbits in the Thermodynam-ics of Non-Compact Manifolds. Electronic Journal of Theoretical Physics, 2005, Volume 2, Issue 7 (August 2005), pp. 1–10.
V. V. Mikheyev, I. V. Shirokov. Building of heat kernel on non-compact homogeneous spaces. Electronic Journal of Theoretical Physics, 2006, Volume 3, Issue 13 (December 2006), pp. 99–108.
Alexey A. Magazev, Vitaly V. Mikheyev, Igor V. Shirokov, “Computation of Composition Functions and Invariant Vector Fields in Terms of Structure Constants of Associated Lie Algebras”, SIGMA, 11 (2015), 066, 17 pp.
V. V. Mikheyev, “High temperature heat kernel expansion and its applications”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(30) (2013), 369–378
2001
3.
S. P. Baranovskii, V. V. Mikheyev, I. V. Shirokov, “Quantum Hamiltonian Systems on K-Orbits: Semiclassical Spectrum of the Asymmetric Top”, TMF, 129:1 (2001), 3–13; Theoret. and Math. Phys., 129:1 (2001), 1311–1319