Ashish Kumar

Levy–Perdew–Sahni equation and its application to perform atomic calculations

Rabeet Singh, Ashish Kumar, Manoj K. Harbola

Levy-Perdew-Sahni (LPS) derived the connection between the asymptotic decay of density and the ionization potential of a many-electron system using the equation for the square root of density. For this, they employed an expression for the corresponding effective potential in terms of …

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Levy–Perdew–Sahni Equation and the Kohn–Sham Inversion Problem

Ashish Kumar, Manoj K. Harbola

Obtaining the exact Kohn–Sham (KS) potential for a given density requires solving the KS equation in the reverse direction. Thus, instead of finding its solution for a given potential and obtaining the density from it, one now inverts the density to obtain …

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Promoting and Assessing Metacognition

Ashish Kumar

Kumar obtained his Ph.D. in Physics from the Indian

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Low Field Giant Magnetoimpedance Effect in TbCo6.2

A. K. Swetha, Ashish Kumar, C. Vishnuvardhan Reddy, Rajeev Joshi

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Solving time-independent Schrödinger equation variationally using random numbers

Pranjal Praneel, Ashish Kumar, Manoj K. Harbola

Abstract Finding wavefunctions for even the simplest of interacting particle systems consisting of two particles is extremely difficult. It is therefore highly desirable that an accurate and easily implementable method be available to instructors and students of quantum-mechanics for obtaining wavefunctions for …

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Towards Object Agnostic and Robust 4-DoF Table-Top Grasping

Prem Raj, Ashish Kumar, Vipul Sanap, Tushar Sandhan et autres

A fully automated and reliable picking of a diverse range of previously unseen objects in clutter is a challenging problem. This becomes even more difficult given the inherent uncertainty in sensing, control, and interaction physics. This paper presents a robust method for …

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Using random numbers to obtain Kohn-Sham potential for a given density

Ashish Kumar, Manoj K. Harbola

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Corrigendum: Semianalytical wavefunctions and Kohn–Sham exchange–correlation potentials for two-electron atomic systems in two-dimensions (2020 J. Phys. B: At. Mol. Opt. Phys. 53 035001)

Rabeet Singh, Ashish Kumar, Manoj K. Harbola, Prasanjit Samal

A general penalty method for density‐to‐potential inversion

Ashish Kumar, Manoj K. Harbola

Abstract A general penalty method is presented for the construction of the Kohn‐Sham system for a given density through Levy's constrained search. The method uses a functional S [ ρ ] of one's choice. Different forms of S [ ρ ] are …

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Accurate effective potential for density amplitude and the corresponding Kohn–Sham exchange–correlation potential calculated from approximate wavefunctions

Ashish Kumar, Rabeet Singh, Manoj K. Harbola

Abstract Over the past few years it has been pointed out that direct inversion of accurate but approximate ground state densities leads to Kohn–Sham exchange–correlation (xc) potentials that can differ significantly from the exact xc potential of a given system. On the …

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Semianalytical wavefunctions and Kohn–Sham exchange-correlation potentials for two-electron atomic systems in two-dimensions

Rabeet Singh, Ashish Kumar, Manoj K. Harbola, Prasanjit Samal

Abstract We propose accurate semianalytical wavefunctions for two-electron atomic systems in two-dimensions. These wavefunctions take into account the cusp conditions arising due to the Coulombic nature of external potential and electron–electron interaction, and the screening effects. The first wavefunction is motivated by …

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Temperature and density of hot decaying 40Ca and 28Si

K. Schmidt, R. Wada, G. Viesti, C. Botosso et autres

By means of quantum-fluctuation analysis techniques, temperatures and local partial densities of bosonic and fermionic fragments produced in the decay of hot 40Ca and 28Si projectile-like sources produced in mid-peripheral collisions at sub-Fermi energies have been obtained. The used method treats bosonic …