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Quasimodes of the two-dimensional quartic oscillator

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Publication:1282539
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DOI10.1007/BF02310312zbMath0924.35126MaRDI QIDQ1282539

V. A. Maksimov, Vladimir V. Belov

Publication date: 1998

Published in: Mathematical Notes (Search for Journal in Brave)


zbMATH Keywords

eigenvalue problem for the Schrödinger equationexplicit formulas for the quasimodes


Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)


Related Items (1)

Semiclassical quantization of Bohr orbits in the helium atom




Cites Work

  • A criterion for the non-existence of an additional integral in Hamiltonian systems with a homogeneous potential
  • On the construction of quasimodes associated with stable periodic orbits
  • ``Momentum tunneling between tori and the splitting of eigenvalues of the Laplace-Beltrami operator on Liouville surfaces
  • Regular and chaotic motion in some quartic potentials
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