Quantum states built on classical nonlinear resonances for slowly deforming billiards

Journal Article · Wed Oct 15 00:00:00 EDT 2014 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.4899224· OSTI ID:22307976

Jha, Nandan ^[1]; Jain, Sudhir R. ^[2]

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1. High Pressure and Synchrotron Radiation Physics Division, Bhabha Atomic Research Centre, Mumbai 400085 (India)
2. Nuclear Physics Division, Bhabha Atomic Research Centre, Mumbai 400085 (India)

We study the modification in the energy spectrum of a closed, adiabatic Hamiltonian system due to the presence of classical nonlinear resonances. A number of resonances are shown to appear in the neighbourhood of the unperturbed energy levels. The unperturbed system is a simple rectangular billiard, subjected to adiabatic rotations and vibrations. We believe that the results hold equally well for a generic unperturbed system expressible in action variables alone, and perturbed there from.

• OSTI ID: 22307976
• Journal Information: AIP Conference Proceedings, Vol. 1619, Issue 1; Conference: 4. conference on nuclei and mesoscopic physics 2014, East Lansing, MI (United States), 5-9 May 2014; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ENERGY LEVELS
ENERGY SPECTRA
HAMILTONIANS
MODIFICATIONS
NONLINEAR PROBLEMS
QUANTUM STATES
RESONANCE
ROTATION