Eigenvalue problem for a set of coupled Schrödinger like ODEs

DOI10.1002/anac.200410033zbMath1069.65091OpenAlexW2011084719MaRDI QIDQ4680449

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Publication date: 1 June 2005

Published in: Applied Numerical Analysis & Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/anac.200410033

zbMATH Keywords

asymptoticsnumerical examplesBose-Einstein condensateEigenvalue problemphase integral approximationmultiprecision calculationsSchrödinger like ODEs

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Related Items

New second-order exponentially and trigonometrically fitted symplectic integrators for the numerical solution of the time-independent Schrödinger equation ⋮ Phase integral approximation for coupled ordinary differential equations of the Schrödinger type

Cites Work

• Unnamed Item
• Unnamed Item
• A direct method for modifying certain phase-integral approximations of arbitrary order
• Detailed behavior of the phase-integral approximations at zeros and singularities of the square of the base function
• Efficient integration of the one-dimensional time independent wave equation for bound states and for wave propagation
• Adiabatic expansions of solutions of coupled second-order linear differential equations. II
• Algorithm 719: Multiprecision translation and execution of FORTRAN programs