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Analogue black string in a quantum harmonic oscillator
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Analogue black string in a quantum harmonic oscillator
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For a scalar particle without self-interaction or backreaction from the space-time background, the dynamics are governed by the Klein-Gordon equation. In this work, we write the exact solution of this equation in the background of a chargeless, static black string in terms of the biconfluent Heun function. In this curious system, we are able to explore what happens if we have negative values for the masses. The eigenvalue problem provides complex energy values for the particle, which may indicate the presence of quasinormal modes. We show a simple quantum system that can imitate the particle in the black string background, whose solutions are also applications of the biconfluent Heun function.
Forward citations
Cited by 2 Pith papers
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On partial groups of small order
All partial groups of order ≤10 are enumerated, and two theorems are proved: high-dimension indecomposables are group skeleta, and degree-≤2 partial groups are 2-coskeletal.
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On partial groups of small order
Computer enumeration produces 123650 partial groups of order ≤9 and 178937003 of order 10, with complete lists of indecomposables of order ≤5.
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