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math-ph2011★ 2 cited
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…
math-ph2010★ 7 cited
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,…
math-ph2010★ 2 cited
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…