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ON BIFURCATIONS IN THE SCHRÖDINGER PROBLEM ADMITTING OF AN EXISTENCE OF NONLINEAR SHIFT OPERATORS

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Publication:4374553
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DOI10.1142/S0218127495001289zbMath0887.34075OpenAlexW1995899971MaRDI QIDQ4374553

V. G. Korolev, V. M. Eleonskii

Publication date: 1 June 1998

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127495001289


zbMATH Keywords

bifurcationsdynamical systemanharmonic oscillatorsSchrödinger problemnonlinear generalization of spectral shift operatorspotentials with asymptotics


Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)


Related Items (2)

A Geometric Approach to a Quantum Counterpart of a Saddle-Node Bifurcation in a 1:1 Resonant Perturbed Oscillator ⋮ A Geometric Approach to a Quantum Counterpart of a Saddle-Node Bifurcation in a 1:1 Resonant Perturbed Oscillator




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