Stability of the Classical Catenoid and Darboux–Pöschl–Teller Potentials
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Date
2022-12
Publication Type
Journal Article
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yes
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Abstract
We revisit the stability (instability) of the outer (inner) catenoid connecting two concentric circular rings and give an explicit new construction of the unstable mode of the inner catenoid by studying the spectrum of an exactly solvable one-dimensional Schrödinger operator with an asymmetric Darboux–Pöschl–Teller potential.
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published
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Volume
25 (4)
Pages / Article No.
28
Publisher
Springer
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Subject
Minimal surfaces; Catenoid; Schrödinger operators; Darboux-Pöschl-Teller potentials
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03355 - Graf, Gian Michele / Graf, Gian Michele