Dimensionless equations in non-relativistic quantum mechanics
arXiv:2005.05377
Abstract
We discuss the numerous advantages of using dimensionless equations in non-relativistic quantum mechanics. Dimensionless equations are considerably simpler and reveal the number of relevant parameters in the models. They are less prone to round-off errors when applying numerical methods because all the quantities are of the other of unity. A dimensionless equation facilitates the application of perturbation theory and provides a glimpse of the sort of solution we are going to obtain beforehand.
Cited by in corpus (8)
- An ubiquitous three-term recurrence relation
- A most misunderstood conditionally-solvable quantum-mechanical model
- Comment on: "Bound states and the potential parameter spectrum". J. Math. Phys. \textbf{67}, 062103 (2020)
- Comment on: "On the Klein-Gordon oscillator subject to a Coulomb-type potential". Ann. Phys. 355 (2015) 48 [arXiv:arXiv:1411.6988]
- Comment on: "On the influence of a Coulomb-like potential induced by the Lorentz symmetry breaking effects on the harmonic oscillator''. Eur. Phys. J. Plus (2012) \textbf{127}: 102
- Comment on: "Bound states for a Coulomb-type potential induced by the interaction between a moving electric quadrupole moment and a magnetic field". Ann. Phys. 341 (2014) 86
- Comment on: "Some quantum aspects of a particle with electric quadrupole moment interacting with an electric field subject to confining potentials". Int. J. Mod. Phys. A 29 (2014) 1450117
- Comment on: "Rashba coupling induced by Lorentz symmetry breaking effects". Ann. Phys. (Berlin) \textbf{526}, 187 (2013)