Asymptotic behavior of the energy levels of a quantum particle in a homogeneous magnetic field, perturbed by a decreasing electric field. I

Journal Article · Fri Oct 10 00:00:00 EDT 1986 · J. Sov. Math.; (United States)

DOI:https://doi.org/10.1007/BF01104868· OSTI ID:5551893

Sobolev, A V

One investigates the bound states E/sub n/, situated to the left of the boundary of the continuous spectrum. Under the assumption that the potential is nonpositive and has at infinity a power type asymptotics, one computes the principal term of the asymptotics E/sub n/ as n ..-->.. infinity. One does not assume the axial symmetry of the potential of the electric field.

• OSTI ID: 5551893
• Journal Information: J. Sov. Math.; (United States), Vol. 35:1; Other Information: Translated from Problemy Matematicheskogo Analiza; No.9, 67-84(1984)
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
PARTICLE MODELS
BOUND STATE
ELECTRIC FIELDS
MAGNETIC FIELDS
QUANTUM MECHANICS
SCHROEDINGER EQUATION
ASYMPTOTIC SOLUTIONS
BOUNDARY CONDITIONS
EIGENFUNCTIONS
ELECTRIC POTENTIAL
ENERGY LEVELS
HILBERT SPACE
QUANTUM OPERATORS
SPECTRA
BANACH SPACE
DIFFERENTIAL EQUATIONS
EQUATIONS
FUNCTIONS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
SPACE
WAVE EQUATIONS
645201* - High Energy Physics- Particle Interactions & Properties-Theoretical- General & Scattering Theory
657002 - Theoretical & Mathematical Physics- Classical & Quantum Mechanics