Macromechanics and two-body problems

HY Wang - Journal of Physics Communications, 2021 - iopscience.iop.org
A wave function can be written in the form of Re iS/ℏ. We put this form of wave function into
quantum mechanics equations and take hydrodynamic limit, ie, let Planck constant be zero …

Analytic solutions for vibrational energy levels of the pseudoharmonic potential

F Maiz - Physica Scripta, 2020 - iopscience.iop.org
The non-relativistic analytic solutions of a quantum mechanical system have been
calculated for the case of pseudoharmonic potential by using the Whittaker functions …

[PDF][PDF] Quantization of Hamiltonian and non-Hamiltonian systems

SA Rashkovskiy - Communications in Analysis and Mechanics, 2023 - aimspress.com
The quantization process was always tightly connected to the Hamiltonian formulation of
classical mechanics. For non-Hamiltonian systems, traditional quantization algorithms turn …

Schrödinger equation for general linear velocity-dependent forces

L Gonçalves, LSF Olavo - Physical Review A, 2018 - APS
Quantization processes generally assume the Hamiltonian formulation of classical
mechanics. The notion of dissipation does not fit easily into the Hamiltonian structure. There …

[PDF][PDF] Non-Hamiltonian Quantization Method

LSF Olavo - cif.unb.br
Even in its early stages, Quantum Mechanics was already involved with the problem of non-
Hamiltonian systems, mainly related with dissipation [1, 2]. The approaches adopted to deal …