The Hill determinant method revisited
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Publication:1714104
DOI10.1007/s10910-018-0939-9zbMath1407.81093OpenAlexW2885877245WikidataQ129478358 ScholiaQ129478358MaRDI QIDQ1714104
Georges Jolicard, John P. Killingbeck, Alain Grosjean
Publication date: 31 January 2019
Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10910-018-0939-9
General topics in linear spectral theory for PDEs (35P05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Atomic physics (81V45) Molecular physics (81V55)
Cites Work
- Pointwise reconstruction of wave functions from their moments through weighted polynomial expansions: an alternative global-local quantization procedure
- Calculation of the eigenvalues of Schrödinger equations by an extension of Hill's method
- A quantum-mechanical anharmonic oscillator with a most interesting spectrum
- A moments' analysis of quasi-exactly solvable systems: a new perspective on the sextic potential $gx^6+bx^4+mx^2 +{\beta \over {x^2}}$
- On the applicability of the Hill determinant method
- The energy levels of the sextic double-well potential
- The optimized Rayleigh–Ritz scheme for determining the quantum-mechanical spectrum
- A Hill-series approach to wavefunction nodes
- Perturbation theory for the triple-well anharmonic oscillator
- The rotating oscillator
- The Hill determinant method in application to the sextic oscillator: limitations and improvement
- New Perspective on Inner Product Quantization
- Quantum states of a sextic potential: hidden symmetry and quantum monodromy
- Failure of the Hill determinant method for the sextic anharmonic oscillator
- On the Hill determinant method
- On the improvement of convergence of Hill determinants
- Orthogonal polynomial projection quantization: a new Hill determinant method
- A Hill-series method for resonances
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