Expansion of deformed harmonic oscillator wavefunctions in terms of spherical wavefunction bases: deformation effects

Abstract

The interbasis expansion of deformed cylindrical 3D harmonic oscillator (HO) wavefunctions in terms of spherical wavefunction bases is introduced. The spatial overlap integral is rewritten in a simplified form and presented in terms of the axis ratio of the deformed nucleus. Deformed nuclear spheroidal shapes are considered, including both quadrupole and hexadecapole deformations. The effect of deformation on the oscillator lengths of deformed 3D-HO, and in turn on the spatial overlap coefficients, is discussed. For the description of the geometrical shape of deformed nuclear systems, the collective and extended Nilsson models for surface parametrization are used.

Simulating the Dynamics of Stock Price via PSO-Assisted Quantum Anharmonic Oscillator Model: Case of Jakarta Composite Index

“…The quantum harmonic and anharmonic oscillator model is perhaps the most used model to describe the dynamics of the system in many cases, such as atomic [9], [10], nuclear [11], [12], or even econophysics [13], [14] problems. Our study is a modification of Gao's work in Ref [14], with the addition of the PSO algorithm for parameter optimization and the local market (Jakarta Composite Index) as the data source.…”