219 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Russian Academy of SciencesRU61 papers
- P.N. Lebedev Physical Institute of the Russian Academy of SciencesRU22 papers
- Lomonosov Moscow State UniversityRU21 papers
- Centre National de la Recherche ScientifiqueFR20 papers
- National Research University Higher School of EconomicsRU15 papers
- Interdisciplinary Scientific Center J.-V. PonceletRU10 papers
- Moscow Institute of Physics and TechnologyRU10 papers
- Laboratoire de Physique Théorique et Modèles StatistiquesFR9 papers
- Université Paris-SudFR9 papers
- Technion – Israel Institute of TechnologyIL8 papers
- Australian National UniversityAU7 papers
- Institute for Information Transmission ProblemsRU7 papers
10 papers · 1 filter
New two-parametric family of exactly solvable Dirac Hamiltonians
Ekaterina Pozdeeva
We construct a two-parametric family of exactly solvable Dirac Hamiltonians by the Darboux transformation method. We obtain intertwining relations between different members of the…
Coherent Schwinger Interaction from Darboux Transformation
Ekaterina Pozdeeva
The exactly solvable scalar-tensor potential of the four-component Dirac equation has been obtained by the Darboux transformation method. The constructed potential has been interpr…
Geometrization of some quantum mechanics formalism
O. A. Ol'khov
There were many attempts to geometrize electromagnetic field and find out new interpretation for quantum mechanics formalism. The distinctive feature of this work is that it combin…
Quantum transfer matrices for discrete and continuous quasi-exactly solvable problems
A. V. Zabrodin
We clarify the algebraic structure of continuous and discrete quasi-exactly solvable spectral problems by embedding them into the framework of the quantum inverse scattering method…
Excitation Scattering in Integrable Models and Hall-Littlewood-Kerov Polynomials
Peter G. O. Freund, Anton V. Zabrodin
The S-matrices for the scattering of two excitations in the XYZ model and in all of its SU(n)-type generalizations are obtained from the asymptotic behavior of Kerov's generalized…
A Hierarchical Array of Integrable Models
Peter G. O. Freund, Anton V. Zabrodin
Motivated by Harish-Chandra theory, we construct, starting from a simple CDD\--pole \--matrix, a hierarchy of new \--matrices involving ever ``higher'' (in the sense of Barne…
Towards unified theory of gravity
S. Kharchev, A. Marshakov, A. Mironov +2
We introduce a new 1-matrix model with arbitrary potential and the matrix-valued background field. Its partition function is a -function of KP-hierarchy, subjected to a kind of…
The Asymptotics of the Correlations Functions in Quantum Field Theory From Finite Size Effects in Conformal Theories
A. Mironov, A. Zabrodin
Using the finite-size effects the scaling dimensions and correlation functions of the main operators in continuous and lattice models of 1d spinless Bose-gas with pairwise interact…
Unification of All String Models with
S. Kharchev, A. Marshakov, A. Mironov +2
A 1-matrix model is proposed, which nicely interpolates between double-scaling continuum limits of all multimatrix models. The interpolating partition function is always a KP -f…
Macdonald Polynomials from Sklyanin Algebras: A Conceptual Basis for the -Adics-Quantum Group Connection
Peter G. O. Freund, Anton V. Zabrodin
We establish a previously conjectured connection between -adics and quantum groups. We find in Sklyanin's two parameter elliptic quantum algebra and its generalizations, the con…