  In the recent and very enjoyable paper (Paul Strange, "Semiclassical and
Quantum Analysis of a Focussing Free Particle Hermite Wavefunction",
arXiv:1309.6753[quant-ph]), Professor Strange has studied a particular solution
of the free particle Schroedinger equation in which the time and space
dependence are not separable. After recognizing the fact that "The Schroedinger
equation has an identical mathematical form to the paraxial wave equation
[...]", he claims to "describe and try to gain insight into an exotic,
apparently accelerating solution of the free particle Schroedinger equation
that is square integrable and which also displays some unusual
characteristics." It is the main aim of this short note to show that the
wavefunction described by Prof. Strange is simply one particular Hermite-Gauss
solution of the paraxial wave equation and even more "exotic" examples can be
found by considering, e.g., Laguerre-Gauss solutions.
