Related Experiment Video
Updated: May 22, 2026

Pool-Boiling Heat-Transfer Enhancement on Cylindrical Surfaces with Hybrid Wettable Patterns
Published on: April 10, 2017
Coulomb problem on single- and double-wall cylinders
Alexei Deinega1, Nina Voronova, Yurii Lozovik
1Department of Physics, University of Toronto, 60 St George Street, Toronto, ON, M5S 1A7, Canada. deinega@physics.utoronto.ca
Abstract:
In this paper we calculate the energies of ground and excited states of two opposite charge carriers confined on a single- or double-wall cylindrical surface. A nontrivial dependence of excited state energies on cylinder radius value (for the case of a single-wall cylinder) is found, and the explanation of this behavior is based on symmetry properties of the corresponding wavefunctions. The crossover from a one-dimensional problem to a two-dimensional one with increase of the radius value is discussed in detail. For the double-wall cylinder, we obtain and analyze the dependence of ground state energy on interwall distance and ratio between particle masses.
Related Concept Videos
Coulomb's Law
Newton's third law applies to the Coulomb force — the force on...
Gauss's Law: Cylindrical Symmetry
Coulomb's Law and The Principle of Superposition
The Principle of Superposition answers the question. Yes, Coulomb's Law applies to each pair of charges, and the net force on each charge is the vector sum of the...
Spherical and Cylindrical Capacitor
Conventionally, considering the symmetry, the electric field between the concentric shells of a spherical capacitor is directed radially outward. The magnitude of the field, calculated by...
Principle of Linear Impulse and Momentum for a Single Particle: Problem Solving
Gauss's Law: Spherical Symmetry

