Planar Penning trap with combined resonance and top dynamics on quadratic algebra

DOI10.1134/S1061920815040056zbMath1341.78012MaRDI QIDQ259927

E. M. Novikova, Mikhail V. Karasev

Publication date: 18 March 2016

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

zbMATH Keywords

Penning trap

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Ion traps (78A37)

Related Items (4)

Bi-orbital states in hyperbolic traps ⋮ Quantization due to breaking the commutativity of symmetries. Wobbling oscillator and anharmonic Penning trap ⋮ Non-Lie top tunneling and quantum bilocalization in planar Penning trap ⋮ Algebra of symmetries of three-frequency hyperbolic resonance

Cites Work

• Coherent transform of the spectral problem and algebras with nonlinear commutation relations.
• Eigenstates of the quantum Penning-Ioffe nanotrap at resonance
• Inserted perturbations generating asymptotical integrability
• Secondary resonances in Penning traps. Non-Lie symmetry algebras and quantum states

This page was built for publication: Planar Penning trap with combined resonance and top dynamics on quadratic algebra