Atom Capture by Nanotube and Scaling Anomaly

2007/06/30 by Pulak Ranjan Giri
Chemistry · Materials Science · Physics and Astronomy · #Anomaly (physics) #Atom (system on chip) #Bound state #Carbon Nanotubes in Composites #Chemical and Physical Properties of Materials #Coupling (piping) #Coupling constant #Electrostatics and Colloid Interactions #Inverse #Polarizability #Scaling #Square (algebra) #cond-mat.mtrl-sci #hep-th

paper · pdf · doi:10.1007/s10773-007-9620-y

published as Int.J.Theor.Phys.47:1776-1783,2008 · Accepted in Int.J.Theor.Phys

arxiv created 2007/11/19 · openalex publication_date 2007/11/27 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The existence of bound state of the polarizable neutral atom in the inverse square potential created by the electric field of single walled charged carbon nanotube (SWNT) is shown to be theoretically possible. The consideration of inequivalent boundary conditions due to self-adjoint extensions lead to this nontrivial bound state solution. It is also shown that the scaling anomaly is responsible for the existence of bound state. Binding of the polarizable atoms in the coupling constant interval η²∈[0,1) may be responsible for the smearing of the edge of steps in quantized conductance, which has not been considered so far in literature.

Citations

• Novel quantum states of the rational Calogero models without the confining interaction
• Quantum Inverse Square Interaction
• Pole structure of the Hamiltonian ζ-function for a singular potential
• Origin of the anomalies: The modified Heisenberg equation
• Bound states in one-dimensional quantum N-body systems with inverse square interaction