Arbitrarily Accurate Eigenvalues for General Anharmonic Potentials

Simple item page
dc.creatorMeurice, Y.
dc.date2002-02-07
dc.date2002-09-06
dc.date.accessioned2026-07-07T10:54:59Z
dc.date.available2026-07-07T10:54:59Z
dc.descriptionWe show that the Riccati form of the Schrodinger equation can be reformulated in terms of two linear equations depending on an arbitrary function G. When $G$ and the potential are polynomials, the solutions of these two equations are entire functions (L and K) and the zeroes of K are identical to those of the wave function. Requiring such a zero at a large but finite value of the argument yields the low energy eigenstates with exponentially small errors. Judicious choice of G can improve dramatically the numerical treatment. The method yields many significant digits with modest computer means.
dc.description10 pages, 8 figures, uses revtex; new section added, references added
dc.identifierhttps://arxiv.org/abs/quant-ph/0202047
dc.identifierhttp://arxiv.org/abs/quant-ph/0202047
dc.identifierJ.Phys.A35:8831-8846,2002
dc.identifierdoi:10.1088/0305-4470/35/41/314
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/185982
dc.subjectQuantum Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectComputational Physics
dc.titleArbitrarily Accurate Eigenvalues for General Anharmonic Potentials
dc.typetext

Files

Collections

arXiv