Akademik Veri Yönetim Sistemi
European Physical Journal Plus, cilt.138, sa.5, 2023 (SCI-Expanded)
Due to the importance of hyperspherical coordinates, we report the quantum Hamilton-Jacobi formalism in N ≥ 2 spatial dimensions. The quantum momentum function equations in N-dimensions have been constructed within the framework of non-relativistic theory. We also study the singularity structure of the quantum momentum function, which yields the determination of the bound state spectra of stationary quantum systems. In order to confirm the reliability of quantum Hamilton-Jacobi formalism in N-dimensions, we present the numerical data in support of the theoretical results obtained in the context of non-relativistic domain. We analyze the pole structure of the quantum momentum function for the H2 molecule in the ground electronic state interacting with Kratzer oscillator in hyperspherical coordinates. Numerical results reveal clearly that moving poles of the quantum momentum function depend on nodes in the hyperradial wave function of related molecule. We also discuss in detail the influence of dimensions on the quantum momentum function.