Canonical transformations relating the oscillator and Coulomb problems and their relevance for collective motions

DOI10.1063/1.525094zbMath0475.70018OpenAlexW2001536364MaRDI QIDQ3930692

Marcos Moshinsky, Thomas H. Seligman

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1063/1.525094

zbMATH Keywords

two-dimensionalgeneralized Bohr-Mottelson approachHamiltonian of Coulomb problemmicroscopic collective modelU(3) symmetry groupU(6) symmetry

Mathematics Subject Classification ID

Hamilton's equations (70H05) Many-body theory; quantum Hall effect (81V70) (n)-body problems (70F10) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15) General models, approaches, and methods in mechanics of particles and systems (70G99)

Related Items

Boson representations of the real symplectic group and their applications to the nuclear collective model, Does accidental degeneracy imply a symmetry group?, Boson realization of sp(4). I. The matrix formulation

Cites Work

• Canonical transformations to action and angle variables and their representations in quantum mechanics. III: The general problem
• Canonical Transformations and Quantum Mechanics
• Neutron Capture and Nuclear Constitution