Quantization due to breaking the commutativity of symmetries. Wobbling oscillator and anharmonic Penning trap

DOI10.1134/S1061920816040051zbMath1361.81080OpenAlexW2560104248MaRDI QIDQ519749

Mikhail V. Karasev

Publication date: 5 April 2017

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

Full work available at URL: https://doi.org/10.1134/s1061920816040051

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Symmetry breaking in quantum theory (81R40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Related Items (1)

Non-Lie top tunneling and quantum bilocalization in planar Penning trap

Cites Work

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• Planar Penning trap with combined resonance and top dynamics on quadratic algebra
• Non-Lie top tunneling and quantum bilocalization in planar Penning trap
• Inserted perturbations generating asymptotical integrability
• Secondary resonances in Penning traps. Non-Lie symmetry algebras and quantum states
• Asymptotic and geometric quantization

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