Toward chemical applications of Heaviside operational ansatz: exact solution of radial Schrödinger equation for nonrelativistic \(N\)-particle system with pairwise \({\frac{1}{r_{ij}}}\) radial potential in quantum phase space

DOI10.1007/S10910-008-9372-9zbMath1167.81456OpenAlexW1984356942MaRDI QIDQ1029723

Valentino A. Simpao

Publication date: 13 July 2009

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-008-9372-9

zbMATH Keywords

differential equationsphase spacequantum chemistryquantum dynamicsexact analytical solutionmolecular HamiltonianHeaviside operators

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Exactly and quasi-solvable systems arising in quantum theory (81U15) Molecular physics (81V55)

Related Items (3)

The half-transform ansatz: quarkonium dynamics in quantum phase space representation ⋮ HOA (Heaviside operational ansatz) revisited: recent remarks on novel exact solution methodologies in wavefunction analysis ⋮ Real wavefunction from generalised Hamiltonian schrodinger equation in quantum phase space via HOA (Heaviside Operational Ansatz): exact analytical results

Cites Work

• Morse oscillator in a quantum phase-space representation: rigorous solutions
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