Construction of the asymptotics of the solutions of the one-dimensional Schrödinger equation with rapidly oscillating potential
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Publication:881088
DOI10.1007/s11006-006-0132-5zbMath1117.34051OpenAlexW1990929977MaRDI QIDQ881088
Publication date: 21 May 2007
Published in: Mathematical Notes (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11006-006-0132-5
Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Asymptotic expansions of solutions to ordinary differential equations (34E05)
Related Items (11)
Capture into resonance in nonlinear oscillatory systems with decaying perturbations ⋮ Appearance of new parametric resonances in time-dependent harmonic oscillator ⋮ On a method for studying the asymptotics of solutions of Sturm-Liouville differential equations with rapidly oscillating coefficients ⋮ Constructing the asymptotics of solutions to differential Sturm-Liouville equations in classes of oscillating coefficients ⋮ THE NEW ASYMPTOTICS FOR SOLUTIONS OF THE STURM–LIOUVILLE EQUATION ⋮ Asymptotic analysis of systems with damped oscillatory perturbations ⋮ Asymptotic integration of a certain second-order linear delay differential equation ⋮ On eigenvalues of the one-dimensional Dirac operator with oscillatory decreasing potential ⋮ Parametric resonance in adiabatic oscillators ⋮ Bifurcations in asymptotically autonomous Hamiltonian systems under oscillatory perturbations ⋮ Resonances in asymptotically autonomous systems with a decaying chirped-frequency excitation
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