標題: Symmetry Breaking Induced Geometric Surfaces with Topological Curves in Quantum and Classical Dynamics of the SU(2) Coupled Oscillators
作者: Chen, Y. F.
Tung, J. C.
Tuan, P. H.
Huang, K. F.
電子物理學系
Department of Electrophysics
關鍵字: symmetry breaking;quantum-classical connection;geometric surface;SU(2)coupling
公開日期: 1-十月-2017
摘要: In the three-dimensional (3D) transversely symmetric oscillator, there are plentiful degeneracies and gaps in the quantum energy spectrum as a function of the ratio of the transverse to longitudinal frequency. It is theoretically verified that while the SU(2) interaction destroys the original degeneracies, numerous new degeneracies and gaps emerge around the original degeneracies to form a similar fine energy spectrum. The classical trajectories at the emergent degeneracies are analyzed to be localized on the 3D parametric surfaces which are constituted by the topologically invariant curves in the transverse tomography. The quantum coherent states are exploited to develop the wave functions that correspond to the 3D geometric surfaces in classical dynamics. Furthermore, the wave structures of the stationary coherent states at small quantum numbers are explored and found to display peculiar patterns with symmetries related to classical trajectories.
URI: http://dx.doi.org/10.1002/andp.201600253
http://hdl.handle.net/11536/143911
ISSN: 0003-3804
DOI: 10.1002/andp.201600253
期刊: ANNALEN DER PHYSIK
Volume: 529
顯示於類別:期刊論文