[HTML][HTML] Analytical study of the sth-order perturbative corrections to the solution to a one-dimensional harmonic oscillator perturbed by a spatially power-law potential …

TD Anh-Tai, DT Hoang, TDH Truong, CD Nguyen… - AIP Advances, 2021 - pubs.aip.org
In this work, we present a rigorous mathematical scheme for the derivation of the sth-order
perturbative corrections to the solution to a one-dimensional harmonic oscillator perturbed …

Application of Haar wavelet to shear-wave equation and corresponding fractional differential equation

CFS Zephania, PC Harisankar, T Sil - Physica Scripta, 2023 - iopscience.iop.org
Shear waves find applications in several branches of science, such as geophysics, earth
science, medical science etc. The Haar wavelet (HW) scheme is employed to solve the …

Polynomial potentials and nilpotent groups

W Schweiger, WH Klink - arXiv preprint arXiv:2412.11157, 2024 - arxiv.org
This paper deals with the partial solution of the energy-eigenvalue problem for one-
dimensional Schr\" odinger operators of the form $ H_N= X_0^ 2+ V_N $, where $ V_N …

Efficient interpolating wavelet collocation scheme for quantum mechanical models in

MK Saha, S Banik, D Singh, MM Panja - The European Physical Journal …, 2021 - Springer
This work deals with the development of an efficient interpolating wavelet collocation
scheme for obtaining highly accurate eigenstates of Sturm–Liouville problem with a view to …

[PDF][PDF] Study of nonlinear systems using approximation methods

SZ CF, K DESIGN AND MANUFACTURING - 2021 - old.iiitdm.ac.in
Most of the physical systems are nonlinear in nature, and they execute vibrations which is a
deviation from the exactly solvable harmonic oscillator (HO) due to the presence of …