On eigenvalues of the one-dimensional Dirac operator with oscillatory decreasing potential

DOI10.1007/s11040-012-9114-xzbMath1263.34124OpenAlexW1971842261MaRDI QIDQ694507

Pavel Nesterov

Publication date: 12 December 2012

Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11040-012-9114-x

zbMATH Keywords

Dirac operatormethod of averagingasymptotic integrationLevinson's theoremoscillatory decreasing potential

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Averaging method for ordinary differential equations (34C29) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (1)

Appearance of new parametric resonances in time-dependent harmonic oscillator

Cites Work

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