Phonon tunnels across a sonic horizon
H. Z. Fang, K. H. Zhou
TL;DR
This paper investigates phonon tunneling in sonic black holes using WKB approximation, exploring the relativistic momentum-energy relation and the equivalence of different tunneling probability expressions.
Contribution
It introduces a detailed analysis of phonon tunneling in sonic black holes using WKB methods and compares different tunneling probability formulations.
Findings
WKB approximation effectively models phonon tunneling.
The relativistic momentum-energy equation is applicable in sonic black hole analysis.
Different tunneling probability expressions can be equivalent in certain cases.
Abstract
We consider phonon tunneling in sonic black hole by WKB approximation method without the backreaction, in which the relativistic momentum-energy equation is used. We also study the WKB loop (closed path) integral [B. D. Chowdhury, Pramana70:3-26, 2008] in sonic black hole case and discuss the equivalence of the results of some cases from the two different tunneling probability expression in Painlev\'e-like coordinates.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Cosmology and Gravitation Theories · Quantum Electrodynamics and Casimir Effect