Efficient integration of the one-dimensional time independent wave equation for bound states and for wave propagation

DOI10.1063/1.527884zbMath0647.34008OpenAlexW2044667285MaRDI QIDQ3791468

Andrzej A. Skorupski

Publication date: 1988

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.527884

zbMATH Keywords

wave equationerror estimatesreflectiontransmissionabsorption coefficientsphase-integral approximation

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45)

Related Items (4)

Detailed behavior of the phase-integral approximations at zeros and singularities of the square of the base function ⋮ Eigenvalue problem for a set of coupled Schrödinger like ODEs ⋮ Phase integral approximation for coupled ordinary differential equations of the Schrödinger type ⋮ Wave propagation in complex systems of cutoffs and resonances

Cites Work

• Improved higher order phase-integral approximations of the JWKB type in the vicinity of zeros and singularities of the wave number
• Detailed behavior of the phase-integral approximations at zeros and singularities of the square of the base function

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