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Gravitationally coupled Quantum Harmonic Oscillator

2017/12/28 by Pramod Pandya, Pandya, Pramod
Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #gr-qc

paper · pdf · doi:10.48550/arxiv.1712.10076

arxiv created 2017/12/28 · arxiv updated 2018/01/01

Abstract

We present a quantum harmonic oscillator model of a collapsed star trapped in the potential well of its gravitational field. The model incorporates quantum matter (quantum fields) as a source to classical gravitational field. We describe the gravitationally collapsed star as a quantum harmonic oscillator in an analogy with an electron trapped in a potential well. The subtle point we raise in this paper is whether a standard black hole scenario is a correct description for a gravitational collapse in a semi-classical framework.

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