Isoscalar giant vibrations in the quantized time-dependent deformed oscillator model

Abstract

The gauge-invariant quantization prescription is applied to the solutions of the time-dependent deformed-oscillator model (TDDOM) for the isoscalar giant multipole resonances in light atomic nuclei. The quantized TDDOM results are in good agreement with those obtained in the generator-coordinate method. The problems found in the application of the gauge-invariant quantization method to the non-separable Hamilton systems are presented.