The spectrum of the quartic oscillator

DOI10.1063/1.531962zbMath0876.34080OpenAlexW1994697340MaRDI QIDQ4345072

Karlheinz Bay, Wolfgang Lay

Publication date: 17 July 1997

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.531962

zbMATH Keywords

asymmetric oscillatorsymmetric oscillatorspectrum of the quartic oscillator

Mathematics Subject Classification ID

General spectral theory of ordinary differential operators (34L05) Perturbation theories for operators and differential equations in quantum theory (81Q15) Ergodic theorems, spectral theory, Markov operators (37A30) Additive difference equations (39A10) Oscillation, growth of solutions to ordinary differential equations in the complex domain (34M10)

Related Items (5)

Manifestation of classical instability in the quantum density of states of a double well potential ⋮ Energy levels of one-dimensional anharmonic oscillator via neural networks ⋮ Bound states and ``resonances in quantum anharmonic oscillators ⋮ On the nature of energy levels of anharmonic oscillators ⋮ Asymptotics of eigenvalue sums when some turning points are complex

Cites Work

• The quartic oscillator

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