Emeritus Professor Vladimir Bazhanov
College of Science
Areas of expertise
- Statistical Mechanics, Physical Combinatorics And Mathematical Aspects Of Condensed Matter 010506
- Algebraic Structures In Mathematical Physics 010501
- Numerical Analysis 010301
- Quantum Physics 0206
- Integrable Systems (Classical And Quantum) 010502
- Mathematical Aspects Of Classical Mechanics, Quantum Mechanics And Quantum Information Theory 010503
- Mathematical Aspects Of Quantum And Conformal Field Theory, Quantum Gravity And String Theory 010505
Publications
- Mangazeev, V, Batchelor, M & Bazhanov, V 2021, 'The hidden symmetry of the asymmetric quantum Rabi model', Journal of Physics A: Mathematical and Theoretical, vol. 54, no. 12.
- Bazhanov, V, Kotousov, G, Koval, S et al. 2021, 'Some Algebraic Aspects of the Inhomogeneous Six-Vertex Model', Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), vol. 17, no. 025, pp. 1-29.
- Bazhanov, V, Kotousov, G, Koval, S et al. 2021, 'Scaling limit of the Z2 invariant inhomogeneous six-vertex model', Nuclear Physics B, vol. 965, pp. 1-156.
- Bazhanov, V, Kotousov, G, Koval, S et al 2019, 'On the scaling behaviour of the alternating spin chain', The Journal of High Energy Physics, vol. 2019, no. 87, pp. 1-30.
- Bazhanov, V, Kotousov, G & Lukyanov, S 2018, 'Quantum transfer-matrices for the sausage model', The Journal of High Energy Physics, vol. 2018, no. 21, pp. 89pp.
- Bazhanov, V & Sergeev, S 2018, 'Yang-Baxter maps, discrete integrable equations and quantum groups', Nuclear Physics B, vol. 926, pp. 509-543pp.
- Bazhanov, V, Lukyanov, S & Runov, B 2018, 'Bukhvostov-Lipatov model and quantum-classical duality', Nuclear Physics B, vol. 927, pp. 468-515pp.
- Bazhanov, V, Kotousov, G & Lukyanov, S 2018, 'On the Yang-Baxter Poisson algebra in non-ultralocal integrable systems', Nuclear Physics B, vol. 934, pp. 529-556.
- Bazhanov, V, Dorey, P, Kajiwara, K et al 2017, 'Special issue on fifty years of the Toda lattice', Journal of Physics A: Mathematical and Theoretical, vol. 50, no. 31, pp. 3pp.
- Batchelor, M, Bazhanov, V & Mangazeev, V 2017, 'Exactly solved models and beyond: A special issue in honour of R J Baxter's 75th birthday', Journal of Physics A: Mathematical and Theoretical, vol. 50, no. 1, pp. 6pp.
- Bazhanov, V, Kels, A & Sergeev, S 2016, 'Quasi-classical expansion of the star-triangle relation and integrable systems on quad-graphs', Journal of Physics A: Mathematical and Theoretical, vol. 49, no. 46, pp. 1-44pp.
- Bazhanov, V, Lukyanov, S & Runov, B 2016, 'Vacuum energy of the Bukhvostov-Lipatov model', Nuclear Physics B, vol. 911, pp. 863-889.
- Bazhanov, V, Kotousov, G & Lukyanov, S 2014, 'Winding vacuum energies in a deformed O(4) sigma model', Nuclear Physics B, vol. 889, pp. 817-826.
- Bazhanov, V & Lukyanov, S 2014, 'From Fuchsian differential equations to integrable QFT', Journal of Physics A: Mathematical and Theoretical, vol. 47, no. 46, p. 8.
- Bazhanov, V & Lukyanov, S 2014, 'Integrable structure of Quantum Field Theory: classical flat connections versus quantum stationary states', Journal of High Energy Physics, vol. 147, no. 9.
- Mangazeev, V, Bazhanov, V & Sergeev, S 2013, 'An integrable 3D lattice model with positive Boltzmann weights', Journal of Physics A: Mathematical and Theoretical, vol. 46, no. 46.
- Bazhanov, V, Kels, A & Sergeev, S 2013, 'Comment on star-star relations in statistical mechanics and elliptic gamma-function identities', Journal of Physics A: Mathematical and Theoretical, vol. 46, no. 15, pp. 152001 (1-7).
- Bazhanov, V, Mangazeev, V, Okada, Y et al 2013, 'An elliptic parameterisation of the Zamolodchikov model', Nuclear Physics B, vol. 871, no. 1, pp. 127-144.
- Bazhanov, V & Sergeev, S 2012, 'Elliptic gamma-function and multi-spin solutions of the Yang-Baxter equation', Nuclear Physics B, vol. 856, no. 2, pp. 475-496.
- Bazhanov, V & Sergeev, S 2012, 'A master solution of the quantum Yang-Baxter equation and classical discrete integrable equations', Advances in Theoretical and Mathematical Physics, vol. 16, no. 1, pp. 65-95.
- Bazhanov, V, Frassek, R, Lukowski, T et al 2011, 'Baxter q-operators and representations of yangians', Nuclear Physics B, vol. 850, no. 1, pp. 148-174.
- Bazhanov, V 2011, 'Chiral Potts model and the discrete Sine-Gordon model at roots of unity', in K. Hasegawa et al (ed.), Advanced Studies in Pure Mathematics 61, Mathematical Society of Japan, Japan, pp. 91-123.
- Bazhanov, V, Lukowski, T, Meneghelli, C et al 2010, 'A shortcut to the Q-operator', Journal of Statistical Mechanics: Theory and Experiment, vol. 2010, no. 11, p. 40.
- Mangazeev, V & Bazhanov, V 2010, 'The eight-vertex model and Painleve VI equation II: eigenvector results', Journal of Physics A: Mathematical and Theoretical, vol. 43, no. 8, p. 16.
- Bazhanov, V, Mangazeev, V & Sergeev, S 2010, 'QUANTUM GEOMETRY OF 3-DIMENSIONAL LATTICES AND TETRAHEDRON EQUATION**', International Congress on Mathematical Physics 2009, European Mathematical Society Publishing House, Prague, Czech Republic, p. 22.
- Mangazeev, V, Dudalev, M, Bazhanov, V et al 2010, 'Scaling and universality in the two-dimensional Ising model with a magnetic field', Physical Review E-Statistical, Nonlinear and Soft Matter Physics, vol. 81, 060103(R) [4 pages]
- Mangazeev, V, Batchelor, M, Bazhanov, V et al 2009, 'Variational approach to the scaling function of the 2D Ising model in a magnetic field', Journal of Physics A: Mathematical and Theoretical, vol. 42, no. 042005, p. 10.
- Bazhanov, V, Mangazeev, V & Sergeev, S 2008, 'Quantum geometry of three-dimensional lattices', Journal of Statistical Mechanics: Theory and Experiment, vol. July 2008, pp. 27p.
- Bazhanov, V, Mangazeev, V & Sergeev, S 2008, 'Exact solution of the Faddeev-Volkov model', Physics Letters A, vol. 372, no. 10, pp. 1547-1550.
- Bazhanov, V & Tsuboi, Z 2008, 'Baxter's Q-operators for supersymmetric spin chains', Nuclear Physics B, vol. 805, pp. 451-516.
- Bazhanov, V & Mangazeev, V 2007, 'Analytic Theory of the Eight-Vertex Model', Nuclear Physics B, vol. 775, pp. 225-282.
- Bazhanov, V, Mangazeev, V & Sergeev, S 2007, 'Faddeev-Volkov solution of the Yang-Baxter Equation and Discrete Conformal Symmetry', Nuclear Physics B, vol. 784, pp. 234-258.
- Bazhanov, V & Sergeev, S 2006, 'Zamolodchikov's Tetrahedron Equation and Hidden Structure of Quantum Groups', Journal of Physics A: Mathematical and General, vol. 39, no. 13, pp. 3295-3310.
- Bazhanov, V & Mangazeev, V 2006, 'The Eight-Vertex Model and Painlevé VI', Journal of Physics A: Mathematical and General, vol. 39, pp. 12235-12243.
- Bazhanov, V & Mangazeev, V 2005, 'Eight-vertex Model and Non-stationary Lame Equation', Journal of Physics A: Mathematical and General, vol. 38, pp. L145-L153.
- Bazhanov, V, Lukyanov, S & Zamolodchikov, A 2003, 'Higher-level Eigenvalues of Q-operators and Schrődinger Equation', Advances in Theoretical and Mathematical Physics, vol. 7, pp. 711-725.
- Bazhanov, V, Lukyanov, S & Tsvelik, A 2003, 'Analytical Results for the Coqblin-Schrieffer Model with Generalized Magnetic Fields', Physical Review B, vol. 68, no. 9, pp. 094427-1-5.
- Ellem, R & Bazhanov, V 2002, 'Excited State TBA for the φ2,1 Perturbed M3,5 Model', Nuclear Physics B, vol. 647, pp. 404-432.
- Bazhanov, V, Hibberd, A & Khoroshkin, S 2002, 'Integrable structure of $\scr W\sb 3$ Conformal Field Theory, Quantum Boussinesq Theory and Boundary Affine Toda Theory', Nuclear Physics B, vol. 622, pp. 475-547.
- Bazhanov, V, Lukyanov, S & Zamolodchikov, A 2001, 'Spectral Determinants for Schroedinger Equation and Q-Operators of Conformal Field Theory', Journal of Statistical Physics, vol. 102, no. 3/4, pp. 567-576.
- Bazhanov, V, Lukyanov, S & Zamolodchikov, A 1999, 'Integrable Structure of Conformal Field Theory III. The Yang-Baxter Relation', Communications in Mathematical Physics, vol. 200, pp. 297-324.
- Bazhanov, V, Lukyanov, S & Zamolodchikov, A 1999, 'On Nonequilibrium States in QFT Model with Boundary Interaction', Nuclear Physics B, vol. B, no. 549, pp. 529-545.
Projects and Grants
Grants information is drawn from ARIES. To add or update Projects or Grants information please contact your College Research Office.
- Algebraic and computational approaches for classical and quantum systems (Primary Investigator)
- Investigate the distribution of eigenvalues of products of matrices using the theory of integrable systems. (Primary Investigator)
- Quantization of polyhedral surfaces (Primary Investigator)
- Fundamental mathematical structures in statistical and quantum systems (Primary Investigator)
- New frontiers in statistical mechanics (Primary Investigator)
