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Bound states and “resonances” in quantum anharmonic oscillators. (English) Zbl 1115.81333

Summary: Eigenvalues of the one-dimensional Schrödinger Hamiltonian with an anharmonic potential are considered in both cases of the two possible signs of the dominant (at large distances) term. The applicability is shown of a method, due to Naundorf, leading to exact quantization conditions.

MSC:

81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics
81Q10 Selfadjoint operator theory in quantum theory, including spectral analysis
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