TL;DR
This paper explores generalized non-Gaussian wave packets, linking them to parabolic cylinder functions and two-particle wave functions, and provides explicit formulas related to recent research by the authors.
Contribution
It introduces a generalized wave function framework connected to parabolic cylinder functions and offers explicit formulas for complex wave functions, extending prior work.
Findings
Derived a generalized wave function linked to parabolic cylinder functions
Connected single-particle wave functions with two-particle position-space wave functions
Provided explicit formulas for wave functions related to recent research
Abstract
We expand on a previous study, offering a generalized wave function associated with the parabolic cylinder function and a connection with a two-particle position-space wave function. We also provide an explicit formula for a wave function associated with recent work by the present author and M. Wolf.
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