HOA (Heaviside operational ansatz) revisited: recent remarks on novel exact solution methodologies in wavefunction analysis

DOI10.1007/s10910-012-0012-zzbMath1320.81056OpenAlexW1987708722MaRDI QIDQ445437

Valentino A. Simpao

Publication date: 24 August 2012

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

Full work available at URL: https://doi.org/10.1007/s10910-012-0012-z

zbMATH Keywords

integral transformsSchrödinger equationwavelet transformequations of motionquantum dynamicsShannon entropyexact analytical solutionmolecular Hamiltonianrelativisticquantum phase spaceclassical dynamicsgeneralised Hamiltonian principleHeaviside operators

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05)

Related Items (2)

The half-transform ansatz: quarkonium dynamics in quantum phase space representation ⋮ Real wavefunction from generalised Hamiltonian schrodinger equation in quantum phase space via HOA (Heaviside Operational Ansatz): exact analytical results

Cites Work

• Entropy/information descriptors of the chemical bond revisited
• A new approach to the \(*\)-genvalue equation
• 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
• Morse oscillator in a quantum phase-space representation: rigorous solutions
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