scientific article

zbMath0489.46055MaRDI QIDQ3951087

B. A. Dubrovin

Publication date: 1980

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

periodic perturbationtwo-dimensional eigenvalue problemnonrelativistic Pauli Hamiltonianperturbation of the Hamiltonian by a small electric potential with periods

Mathematics Subject Classification ID

Hamilton's equations (70H05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Perturbation theory of linear operators (47A55) Normal functions of one complex variable, normal families (30D45) Perturbation theories for operators and differential equations in quantum theory (81Q15) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Miscellaneous applications of functional analysis (46N99)

Related Items (11)

On the Lieb-Thirring estimates for the Pauli operator ⋮ The quantum Hall effect for electrons in a random potential ⋮ The geometry of (non-abelian) Landau levels ⋮ Integrability in the chiral model of magic angles ⋮ Bulk-edge correspondence for the Dirac oscillator on the two-torus as a magnetic unit cell ⋮ Lifshitz tails in constant magnetic fields ⋮ On the structure of spectra of periodic elliptic operators ⋮ Spectral properties of the periodic magnetic Schrödinger operator in the high-energy region. Two-dimensional case ⋮ Low energy asymptotics of the spectral shift function for Pauli operators with nonconstant magnetic fields ⋮ Spectral properties of 2D Pauli operators with almost-periodic electromagnetic fields ⋮ Two-dimensional Schrödinger operators in periodic fields

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