activity
20132026
most citedSolution of the quantum finite square well problem using the Lambert W function

30 citations · 80 across the 9 of their papers we have counts for

collaborators

9 papers

math-ph2026

Analytic Integration of the Lambert W Cosmic Fluid Model H(z) Formula

Ken Roberts, S. R. Valluri, Francisco Javier Garcia-Sánchez +1

The Lambert (LW) model for the cosmic fluid equation of state was proposed by S. Saha and K. Bamba in 2019-2020. A recent (early 2026) paper by Dubey, et al, carries out a new…

physics.comp-ph2023★ 2 cited

Solar Cells, Lambert W and the LogWright Functions

Prabhat Lankireddy, Sibibalan Jeevanandam, Aditya Chaudhary +3

Algorithms that calculate the current-voltage (I-V) characteristics of a solar cell play an important role in processes that aim to improve the efficiency of a solar cell. I-V char…

quant-ph2022

Lambert W Lines and Finite Square Well Sensors

Ken Roberts, Najeh Jisrawi, J. Jeyasitharam +3

The bound state energies of a 1-dimensional finite quantum square well (FSW) can be determined using a geometric method, involving a smooth mapping between two copies of the comple…

cond-mat.mes-hall2019

An Analytic Study of the Wiedemann-Franz Law and the Thermoelectric Figure of Merit

Aakash Yadav, PC Deshmukh, Ken Roberts +2

Advances in optimizing thermoelectric material efficiency have seen a parallel activity in theoretical and computational advances. In the current work, it is shown that the calcula…

physics.comp-ph2015★ 17 cited

On Calculating the Current-Voltage Characteristic of Multi-Diode Models for Organic Solar Cells

Ken Roberts, S. R. Valluri

We provide an alternative formulation of the exact calculation of the current-voltage characteristic of solar cells which have been modeled with a lumped parameters equivalent circ…

cond-mat.mtrl-sci2015★ 22 cited

Band structure and transport studies of half Heusler compound DyPdBi: An efficient thermoelectric material

S. Krishnaveni, M. Sundareswari, P. C. Deshmukh +2

The discovery of Heusler alloys has revolutionized the research field of intermetallics due to the ease with which one can derive potential candidates for multifunctional applicati…

math.NA2015★ 8 cited

A Robust Approximation to a Lambert-Type Function

Ken Roberts

The function , where denotes the Lambert W function, is the solution to the equation . It appears in various problem sit…

math-ph2014★ 30 cited

Solution of the quantum finite square well problem using the Lambert W function

Ken Roberts, S. R. Valluri

We present a solution of the quantum mechanics problem of the allowable energy levels of a bound particle in a one-dimensional finite square well. The method is a geometric-analyti…

hep-lat2013★ 1 cited

The Lambert W Function, Laguerre Polynomials, and the Zeros of the QCD Partition Function

Ken Roberts, S. R. Valluri

We study solutions of a transcendental equation for the complex chemical potential at which a random-matrix QCD model can undergo a phase transition at zero mass. An explicit solut…