Enhanced dynamical symmetries and quantum degeneracies in mesoscopic quantum dots: Role of the symmetries of closed classical orbits

Europhysics Letters

Volumn 51, Issue 4, 2000, Pages 367-373

  Johnson, B L ^a   Kirczenow, G ^b  

^a WESTERN WASHINGTON UNIVERSITY   (United States)

^b SIMON FRASER UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034636851     PISSN: 02955075     EISSN: None     Source Type: Journal    
DOI: 10.1209/epl/i2000-00503-6     Document Type: Article

References (15)

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12. While the system studied here has the full symmetry of the 2D rotation group, similar considerations apply to systems with lower symmetries. An example is the anisotropic oscillator whose accidental degeneracies are associated with the breaking of reflection symmetries by closed classical orbits, as will be demonstrated elsewhere.
13. The dynamical symmetries in the quantum Darwin/Fock model have been studied by transformation of the Hamiltonian to a form bilinear in appropriate raising and lower operators - see HAWRYLAK P., Phys. Rev. Lett., 71 (1993) 3347.
14. JOHNSON B. L. and KIRCZENOW G., unpublished.
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