9 citations · 32 across the 9 of their papers we have counts for
9 papers
Dissipative Landau-Zener tunneling in the crossover regime from weak to strong environment coupling
X. Dai, R. Trappen, H. Chen +22
Landau-Zener tunneling, which describes the transition in a two-level system during a sweep through an anti-crossing, is a model applicable to a wide range of physical phenomena. R…
On two letter identities in Lie rings
Boris Baranov, Sergei O. Ivanov, Savelii Novikov
Let be a free Lie ring on two letters We investigate the kernel of the map given by Any homogeneous element of…
Generalized Jacobi identities and Jacobi elements of the group ring of the symmetric group
Sergei O. Ivanov, Savelii Novikov
By definition the identities and hold in any Lie algebra. It is easy to check that the ident…
Spectral Meromorphic Operators and Nonlinear Systems
P. G. Grinevich, S. Novikov
We study here class of 1D spectral-meromorphic (s-meromorphic) OD operators with meromorphic coefficients near $x…
On the Nonrelativistic 2D Purely Magnetic Supersymmetric Pauli Operator
P. Grinevich, A. Mironov, S. Novikov
The Complete Manifold of Ground State Eigenfunctions for the Purely Magnetic 2D Pauli Operator is considered as a by-product of the new reduction found by the present authors few y…
2D Schrodinger Operator, (2+1) Systems and New Reductions. The 2D Burgers Hierarchy and Inverse Problem Data
P. Grinevich, A. Mironov, S. Novikov
The Theory of (2+1) Systems based on 2D Schrodinger Operator was started by S.Manakov, B.Dubrovin, I.Krichever and S.Novikov in 1976. The Analog of Lax Pairs introduced by Manakov,…
On the Ground Level of Purely Magnetic Algebro-Geometric 2D Pauli Operator (spin 1/2)
P. Grinevich, A. Mironov, S. Novikov
Full manifold of the complex Bloch-Floquet eigenfunctions is investigated for the ground level of the purely magnetic 2D Pauli operators (equal to zero because of supersymmetry). D…
New Reductions and Nonlinear Systems for 2D Schrodinger Operators
P. Grinevich, A. Mironov, S. Novikov
New Completely Integrable (2+1)-System is studied. It is based on the so-called L-A-B-triples where L is a 2D Schrodinger Operator. This approach was invented by S.M…
String equation--2. Physical solution
P. G. Grinevich, S. P. Novikov
This paper is a continuation of the paper by S.P.Novikov in Funct.Anal.Appl., v.24(1990), No 4, pp 196-206. String equation is by definition the equation for the coeffici…