Discrete phase integral method for five-term recursion relations

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dc.creatorGarg, Anupam
dc.date2000-03-08
dc.date.accessioned2026-07-07T04:27:42Z
dc.date.available2026-07-07T04:27:42Z
dc.descriptionA formalism is developed to study certain five-term recursion relations by discrete phase integral (or Wentzel-Kramers-Brillouin) methods. Such recursion relations arise naturally in the study of the Schrodinger equation for certain spin Hamiltonians. The conditions for the validity of the phase integral approximation are derived. It is shown that in contrast to the three-term problem, it is now possible to get a turning points "under the barrier", i.e., in the classically forbidden region, as well as inside the classically allowed region. Further, no qualitatively new types of turning points arise in recursion relations with still higher numbers of terms. The phase integral approximation breaks down at the new turning points, requiring new connection formulas, which are derived.
dc.descriptionRevtex; 7 ps figures
dc.identifierhttps://arxiv.org/abs/math-ph/0003005
dc.identifierhttp://arxiv.org/abs/math-ph/0003005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56514
dc.subjectMathematical Physics
dc.subjectCondensed Matter
dc.subjectClassical Analysis and ODEs
dc.subjectQuantum Physics
dc.titleDiscrete phase integral method for five-term recursion relations
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