• Media type: E-Article
  • Title: Double phase-integral approximations: A systematic simplification technique for wave equations with cutoffs and resonances
  • Contributor: Skorupski, Andrzej A.
  • imprint: AIP Publishing, 1984
  • Published in: Journal of Mathematical Physics
  • Language: English
  • DOI: 10.1063/1.526495
  • ISSN: 0022-2488; 1089-7658
  • Keywords: Mathematical Physics ; Statistical and Nonlinear Physics
  • Origination:
  • Footnote:
  • Description: <jats:p>The time-independent wave equation, d2ψ/dz2+Q2(z)ψ=0, where Q2(z) may have arbitrary order zeros and poles on or close to the real axis, is transformed to a simpler wave equation of similar properties (model). Approximate transformations leading from the original wave equation to the model are simply related to Fröman’s higher-order phase integrals, but are nevertheless well defined at the pertinent zeros and poles of Q2(z).</jats:p>