5 papers
Bloch states of an infinite alternating-charge lattice under a transverse electric field
Anand Aruna Kumar
We consider an infinite one dimensional array of alternating charges embedded in a two-dimensional configuration space and subjected to a weak static electric field transverse to t…
Canonical regularization of the stationary Coulomb problem and an Aufbau-like spectral ordering
Anand Aruna Kumar
The stationary hydrogen atom has Coulomb degeneracy across orbital levels, whereas the Aufbau/Madelung ordering is an empirical, many-electron rule established in atomic physics. W…
Stationary Bohmian superposition under amplitude and phase modulation
Anand Aruna Kumar
In this work, we examine the problem of stationary superposition in the Bohmian amplitude phase formulation, where amplitude and phase obey coupled nonlinear equations and direct l…
Nonlinear current dynamics and radial regularisation in the stationary Landau problem
Anand Aruna Kumar
We investigate the stationary amplitude and current properties of a charged particle in a uniform magnetic field within the Bohm--Madelung formulation. The analysis is organised ar…
A regularisation method to obtain analytical solutions to the de Broglie Bohm wave equation
Anand Aruna Kumar, S. K. Srivatsa, Rajesh Tengli
We develop a variational regularisation framework that enables analytical solutions of the stationary de~Broglie--Bohm wave equation. The formulation begins with a Fisher-informati…