The half-transform ansatz: quarkonium dynamics in quantum phase space representation

DOI10.1007/S10773-023-05410-ZarXiv2303.16356OpenAlexW4385972624MaRDI QIDQ6049642

Gabriel Nowaskie

Publication date: 15 September 2023

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2303.16356

zbMATH Keywords

Schrödinger equationconfinementCornell potentialquantum phase spaceheavy mesonsquarkoniumHTAhalf transform ansatz

Mathematics Subject Classification ID

Nuclear physics (81V35) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Strong interaction, including quantum chromodynamics (81V05) Many-body theory; quantum Hall effect (81V70) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Orbital mechanics (70M20) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Cites Work

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• 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
• 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
• Mass spectrum of mesons via the WKB approximation method

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