Quasi-exactly solvable models with an inhomogeneous magnetic field
From MaRDI portal
Publication:4845669
DOI10.1088/0305-4470/27/12/009zbMATH Open0827.60089arXivsolv-int/9812031OpenAlexW2008310074MaRDI QIDQ4845669
Author name not available (Why is that?)
Publication date: 4 December 1995
Published in: (Search for Journal in Brave)
Abstract: Let group generators having finite-dimensional representation be realized as Hermitian linear differential operators without nhomogeneous terms as takes place, for example, for the SO(n) group. Then orresponding group Hamiltonians containing terms linear in generators (along with quadratic ones) give rise to quasi-exactly solvable models with a magnetic field in a curved space. In particular, in the two-dimensional case such models are generated by quantum tops. In the three-dimensional one for the SO(4) Hamiltonian with an isotropic quadratic part the manifold within which a quantum particle moves has the geometry of the Einstein universe.
Full work available at URL: https://arxiv.org/abs/solv-int/9812031
No records found.
No records found.
This page was built for publication: Quasi-exactly solvable models with an inhomogeneous magnetic field
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q4845669)
