Eigenfunctions on a Stadium Associated with Avoided Crossings of Energy Levels

@inproceedings{NEUBERGER2001EigenfunctionsOA,
  title={Eigenfunctions on a Stadium Associated with Avoided Crossings of Energy Levels},
  author={B. NEUBERGER and J. W. Neuberger},
  year={2001}
}
The most primitive form of a stadium is a circle, say of radius r. If we separate the left and right halves of the circle slightly and connect these two semi circles at the top and bottom by straight lines we have a classical stadium (racetrack). Let a be the horizontal distance from the center of the figure to either the left or right semi circle; that is, the distance of each ‘straightaway’ is 2a. 

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Showing 1-5 of 5 references

Hagedorn , Classification and normal forms for avoided crossings of quantum - mechanical energy levels

  • A. George
  • J . Chem . Phys .
  • 1980

Phys

  • D. W. Noid, M. L. Koszykowski, R. A. Marcus, J. Chem
  • 73, 269
  • 1980

Spectrum and Eigenfunctions for a Hamiltonian with Stochastic Trajectories

  • Steven W. McDonald, Allan N. Kaufman
  • Physical Review Letters,
  • 1979

Level Clustering in the Regular Spectrum

  • M. V. Berry, M. Tabor
  • Proc. Royal Soc. Lond. A. 356, 375-394
  • 1977

Über das Verhalten von Eigenwerten bei adiabatischen Prozessen, Phys

  • E. P. Wigner, John von Neumann
  • 1929
3 Excerpts

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