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RESEARCH PRODUCT

QUANTIZATION CONDITION FOR HIGHLY EXCITED STATES

Francisco M. FernándezRafael Guardiola

subject

PhysicsNuclear and High Energy PhysicsQuantization (physics)Excited stateQuantum mechanicsAnharmonicityGeneral Physics and AstronomyAstronomy and AstrophysicsLogarithmic derivativeEigenfunction

description

We develop a quantization condition for the excited states of simple quantum-mechanical models. The approach combines perturbation theory for the oscillatory part of the eigenfunction with a rational approximation to the logarithmic derivative of the nodeless part of it. We choose one-dimensional anharmonic oscillators as illustrative examples.

https://doi.org/10.1142/s0217732399001334