Self-accelerating Parabolic Cylinder Waves in 1-D
C. Yuce
TL;DR
This paper presents a new analytical wave packet solution to the 1D Schrödinger equation, demonstrating self-acceleration and focusing on parabolic cylinder waves in an inverted harmonic potential.
Contribution
It introduces the first exact analytical parabolic cylinder wave solution exhibiting self-acceleration in quantum mechanics.
Findings
Exact parabolic cylinder wave solutions for inverted harmonic potential.
Truncated waves demonstrate self-accelerating behavior.
Potential applications in quantum control and wave manipulation.
Abstract
We introduce a new self-accelerating wave packet solution of the Schrodinger equation in one dimension. We obtain an exact analytical parabolic cylinder wave for the inverted harmonic potential. We show that truncated parabolic cylinder waves exhibits their accelerating feature.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.