Fractality of certain quantum states
Daniel Wojcik, Karol Zyczkowski
TL;DR
This paper proves a theorem about the existence and properties of fractal states in the Schrödinger equation within an infinite one-dimensional well, confirming earlier conjectures and extending understanding of quantum state structures.
Contribution
It provides a rigorous proof of the fractality of certain quantum states in a well-known quantum system, advancing theoretical knowledge.
Findings
Confirmed the existence of fractal quantum states
Characterized properties of these fractal states
Extended previous conjectures from 2001
Abstract
We prove the theorem announced in Phys. Rev. Lett. {\bf 85}:5022, 2001 concerning the existence and properties of fractal states for the Schr\"odinger equation in the infinite one-dimensional well.
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