output
20022014
most citedAnalytic results in the position-dependent mass Schrodinger problem

51 citations

11 papers

quant-ph2014★ 29 cited

Energy eigenfunctions for position-dependent mass particles in a new class of molecular hamiltonians

H. R. Christiansen, M. S. Cunha

Based on recent results on quasi-exactly solvable Schrodinger equations, we review a new phenomenological potential class lately reported. In the present paper we consider the quan…

quant-ph2013★ 30 cited

Solutions to position-dependent mass quantum mechanics for a new class of hyperbolic potentials

H. R. Christiansen, M. S. Cunha

We analytically solve the position-dependent mass (PDM) 1D Schrödinger equation for a new class of hyperbolic potentials $V_q^p(x) = -V_0\frac{\sinh^px}{\cosh^qx}, \, p= -2, 0, \do…

quant-ph2013★ 51 cited

Analytic results in the position-dependent mass Schrodinger problem

M. S. Cunha, H. R. Christiansen

We investigate the Schrodinger equation for a particle with a nonuniform solitonic mass density. First, we discuss in extent the (nontrivial) position-dependent mass case…

hep-th2012★ 15 cited

Kalb-Ramond excitations in a thick-brane scenario with dilaton

H. R. Christiansen, M. S. Cunha

We compute the full spectrum and eigenstates of the Kalb-Ramond field in a warped non-compact Randall-Sundrum -type five-dimensional spacetime in which the ordinary four-dimensiona…

hep-th2011★ 20 cited

Confluent Heun functions in gauge theories on thick braneworlds

M. S. Cunha, H. R. Christiansen

We investigate the propagation modes of gauge fields in an infinite Randall-Sundrum scenario. In this model a sine-Gordon soliton represents our thick four-dimensional braneworld w…

gr-qc2011★ 26 cited

High-energy scalarons in R^{2} gravity as a model for Dark Matter in galaxies

Christian Corda, Herman J. Mosquera Cuesta, Roberto Lorduy Gòmez

We show that in the framework of R^{2} gravity and in the linearized approach it is possible to obtain spherically symmetric stationary states that can be used as a model for galax…