Two-dimensional Schrödinger operators in periodic fields

DOI10.1007/BF02104894zbMath0564.35083OpenAlexW1974753267MaRDI QIDQ1058070

S. P. Novikov

Publication date: 1985

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02104894

zbMATH Keywords

Schrödinger operatorsattracted quantum particleperiodic fields

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Schrödinger operator, Schrödinger equation (35J10) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (13)

Discrete magnetic Laplacian ⋮ On the non-relativistic two-dimensional purely magnetic supersymmetric Pauli operator ⋮ Analyse semi-classique pour l'équation de Harper (avec application à l'équation de Schrödinger avec champ magnétique) ⋮ Cantor and band spectra for periodic quantum graphs with magnetic fields ⋮ Spectrum of the Landau Hamiltonian with a periodic electric potential ⋮ Zero level of a purely magnetic two-dimensional nonrelativistic Pauli operator for spin-1/2 particles ⋮ The interactions of solitons in the Novikov–Veselov equation ⋮ Trace formula for the magnetic Laplacian ⋮ The spectral curve of a quaternionic holomorphic line bundle over a 2-torus ⋮ Self-Isospectrality, Special Supersymmetry, and their Effect on the Band Structure ⋮ On the spectrum of a two-dimensional Schrödinger operator with a homogeneous magnetic field and a periodic electric potential ⋮ The Gould-Hopper polynomials in the Novikov-Veselov equation ⋮ Berry phase in magnetic systems with point perturbations.

Cites Work

• Real two-zone solutions of the sine-Gordon equation
• Spectral theory of commuting operators of rank two with periodic coefficients
• E-compact extensions of topological spaces
• Indicators of an entire function and the regularity of the growth of the Fourier coefficients of the logarithm of its modulus
• The spectrum of Hill's equation
• Equations of long waves with a free surface. II: Hamiltonian structure and higher equations
• Periodic solutions of the KdV equation
• The index of elliptic operators on compact manifolds
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Two-dimensional Schrödinger operators in periodic fields