Free Particle Wave Function and Niederer's Transformation
arXiv:1310.2799 · doi:10.1103/PhysRevA.89.014103
Abstract
The solutions to the free Schroedinger equation discussed by P. Strange (arXiv: 1309.6753) and A. Aiello (arXiv: 1309.7899) are analyzed. It is shown that their properties can be explained with the help of Niederer's transformation.
References in corpus (4)
- Remarks on l-conformal extension of the Newton-Hooke algebra
- Dynamical realization of l-conformal Galilei algebra and oscillators
- Kohn's theorem and Galilean symmetry
- Comment on "Semiclassical and Quantum Analysis of a Focussing Free Particle Hermite Wavefunction", by Paul Strange (arXiv:1309.6753 [quant-ph])
Cited by in corpus (5)
- From polarized gravitational waves to analytically solvable electromagnetic beams
- Niederer's transformation, time-dependent oscillators and polarized gravitational waves
- New realizations of N=2 l-conformal Newton-Hooke superalgebra
- Generalized Niederer's transformation for quantum Pais-Uhlenbeck oscillator
- Free to Harmonic Unitary Transformations in Quantum and Koopman Dynamics