6533b828fe1ef96bd1288c5a
RESEARCH PRODUCT
Riccati-Padé quantization and oscillatorsV(r)=grα
Rafael GuardiolaFrancisco M. FernándezMiloslav Znojilsubject
PhysicsPhysics::Instrumentation and DetectorsQuantum harmonic oscillatorQuantization (signal processing)Riccati equationApplied mathematicsPadé approximantMathematics::Spectral TheoryEigenfunctionAsymptotic expansionAtomic and Molecular Physics and OpticsEigenvalues and eigenvectorsInterpolationdescription
We develop an alternative construction of bound states based on matching the Riccati threshold and asymptotic expansions via their two-point Pad\'e interpolation. As a form of quantization it gives highly accurate eigenvalues and eigenfunctions.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1993-12-01 | Physical Review A |