An introduction to analysis of Rényi complexity ratio of quantum states for central potential

D Nath - International Journal of Quantum Chemistry, 2022 - Wiley Online Library
Rényi complexity ratio of two density functions is introduced for three and multidimensional
quantum systems. Localization property of several density functions are defined and five …

Generalized quantum similarity index: An application to pseudoharmonic oscillator with isospectral potentials in 3D

P Ghosh, D Nath - International Journal of Quantum Chemistry, 2021 - Wiley Online Library
Exact solutions of a pseudoharmonic oscillator and a family of isospectral potentials are
investigated in spherical coordinates. The entropic moment, generalized quantum similarity …

Information theoretic measures in Makarov potential

D Nath, AK Roy - The European Physical Journal Plus, 2023 - Springer
Exact eigenvalue and eigenfunction of non-central Makarov potential is derived for arbitrary
quantum states having non-zero angular quantum number. The wave function is obtained in …

Complexity analysis of two families of orthogonal functions

P Ghosh, D Nath - International Journal of Quantum Chemistry, 2019 - Wiley Online Library
We study the shape LMC (López‐Ruiz, Mancini and Calvet), Fisher‐Shannon (FS) and
Cramér‐Rao (CR) complexities of two families of orthogonal functions associated with the …

Study of uncertainty, average energy, and thermodynamic quantities of the time dependent quantum system

D Nath - Journal of Mathematical Chemistry, 2022 - Springer
Exact solutions of the time-dependent Schrödinger equation in presence of time-dependent
potential are defined analytically by point transformation and separation of variables. Energy …

Information-theoretic spreading measures of a particle confined in a 3D infinite spherical well

D Nath, R Carbó-Dorca - Journal of Mathematical Chemistry, 2023 - Springer
This paper will define the exact solutions of the Schrödinger of a confined particle in an
infinite spherical well in both position and momentum spaces. In the present work, we will …

Comparison between time-independent and time-dependent quantum systems in the context of energy, Heisenberg uncertainty, average energy, force, average force …

D Nath - arXiv preprint arXiv:2110.05609, 2021 - arxiv.org
Exact solutions of time-dependent Schr\" odinger equation in presence of time-dependent
potential is defined by point transformation and separation of variables. Energy and …

Properties of R\'enyi complexity ratio of quantum states for central potential

D Nath - arXiv preprint arXiv:2008.05418, 2020 - arxiv.org
R\'enyi complexity ratio of two density functions is introduced for three and multidimensional
quantum systems. Localization property of several density functions are defined and five …